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quant-ph9906027.txt |@word concept:1 sci:1 consider:4 magnetic:1 results:2 leads:13 roy:3 scalar:2 experiments:1 computation:11 reson:2 retention:1 looking:1 const:2 leung:2 knill:1 technique:2 including:1 preprint:3 environment:1 finally:1 compensate:1 swap:26 under:2 applied:10 delhi:1 broadly:1 zhang:1 very:1 could:1 noncommuting:1 experimentally:8 difference:2 matrices:4 categories:1 four:5 redistribute:1 usa:1 level:2 tra:1 t2:1 t1:1 large:2 commute:2 phase:4 small:7 noted:3 application:5 compensated:1 version:2 deutsch:6 pulse:30 sign:1 elegant:1 zero:6 design:4 evaluated:1 manipulating:1 implemented:9 spectral:2 what:1 xor:13 sub:2 while:10 indian:3 above:4 new:2 method:2 deemed:1 simultaneously:3 exchange:1 margolus:1 respectively:10 here:4 desired:3 explore:2 selective:42 inversion:7 groups:1 relaxation:4 represented:1 along:1 knowledge:1 obtained:4 search:1 institute:3 shift:1 larger:1 funded:1 example:1 prior:1 simultaneous:2 products:1 action:3 resonance:1 implement:8 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quant-ph9906028.txt |@word partial:1 consider:2 results:1 lakshmanan:1 a45:1 calculate:1 finally:1 pˆu:1 th:1 pˆv:1 ev1:3 anharmonic:1 p2:2 hibbs:1 straightforward:1 very:4 aarseth:1 wave:1 putting:1 coulombian:1 exact:1 condition:1 quantized:1 immediately:1 hamiltonian:33 evaluation:1 solution:3 pˆ2:5 equation:1 q1a:7 q1b:7 ze:4 sin2:2 elegant:1 me2:1 further:7 ter:2 canonical:4 pφ1:2 ˆt:7 section:6 axes:1 agrees:1 vb2:1 above:3 new:1 method:3 edited:1 full:1 2ma2:1 respectively:1 here:1 cylindrical:3 path:17 along:1 devreese:1 z2:1 obtained:9 convert:1 parameters:1 institute:1 involved:1 study:2 vectors:1 published:1 action:2 complicated:4 useful:2 explained:1 highly:1 unitary:1 redefining:1 total:4 nersessian:1 use:4 charge:1 positive:1 eφ:1 negative:1 next:2 classically:1 nucl:1 therefore:4 ib0:1 ib1:1 ib2:1 compactly:1 type:9 grosche:2 bidhannagar:1 composite:1 operators:6 integrate:1 ganesan:1 basically:1 particular:2 cases:6 iii:2 ev2:3 me:1 tnp:1 quartic:1 integrating:2 originally:1 work:3 oscillator:3 thin:1 following:2 mz:2 imω:3 india:1 want:1 chim:1 hydrogen:4 axis:1 kustaanheimo:2 means:1 feature:1 how:1 instead:1 parameter:3 sin:14 may:2 oscillators:5 derived:1 applications:1 meaningful:2 constants:1 dynamical:1 effective:1 explicit:2 en2:4 lhs:3 origin:1 zef:2 developed:1 over:3 years:1 looks:1 mentioned:1 kinetic:1 still:1 group:1 located:1 solving:3 coordinates:9 systems:3 jacobi:2 non:19 similar:1 ze2:3 compound:2 now:9 easily:1 term:1 level:1 2d:2 2a:2 2m:28 difficult:1 side:1 energy:15 used:4 static:1 quantum:6 our:4 avoided:1 eq:25 special:8 out:3 shown:2 u2a:1 u2b:1 rev:3 semi:2 fellowship:1 vector:1 hill:1 mγ:1 ref:5 correct:1 math:4 theory:2 mev:2 mω:11 aharanov:8 york:1 put:1 e4:3 beginning:1 e0:2 saha:2 created:1 so:1 turn:1 isotropic:1 hence:2 moving:2 first:1 separable:10 simplifies:1 variables:2 powerful:1 number:2 done:3 directly:1 carry:1 ring:7 πc:1 given:4 rewritten:1 hammann:1 introduction:1 eqs:4 system:19 least:2 1a:1 calculations:1 contains:1 exactly:3 eliminated:1 clarifying:1 kind:2 annihilation:4 future:1 radius:1 fashion:1 pˆφ:1 spectrum:12 phy:1 say:1 angew:1 astrophysical:1 manner:1 conjugate:2 seen:1 dyon:1 relatively:1 dehghani:1 qb2:1 oriented:1 potential:44 reparametrization:1 green:6 electric:1 rhs:3 molecule:2 victoria:1 simplify:1 but:2 nothing:2 analytically:4 class:2 considered:2 calculated:4 ks:8 feynman:1 principle:3 exp:14 mechanical:3 physics:3 fact:2 quantity:2 particularly:1 show:1 purely:1 relation:3 find:2 ground:2 q1:16 q2:16 dp2:1 dp1:1 aφ:1 state:6 analytic:1 summarizing:1 parabolic:9 hamiltonians:2 2mr:2 his:1 get:1 dependent:1 express:2 dv:1 aθ:1 gen:1 regarding:1 fields:1 arxiv:1 gutzwiller:1 solenoid:1 qa:1 inomata:3 qb:2 kibler:3 physically:2 klauder:1 trick:1 see:2 lausanne:1 p21:1 result:2 recently:1 winternitz:1 nuclear:1 written:13 2πr:1 between:1 invariant:1 approach:4 email:1 terms:8 importance:1 however:2 p2u:1 p2v:1 analyzed:1 a106:1 both:2 cos:6 last:1 many:5 infinitely:1 hω:3 hφ:1 schroedinger:2 ch:1 conclude:1 simple:10 harmonic:6 dimensional:5 cz:1 pole:1 prasad:1 considering:2 pv:1 transformations:2 pu:1 been:15 int:2 basic:1 ph:1 ak:3 define:2 corresponding:6 fujikawa:3 astron:1 2n2:1 case:6 p1:2 value:1 will:2 technical:1 mono:1 situation:1 va:2 vb:2 studied:6 refs:1 vk:1 thus:5 iv:1 ii:1 reine:1 mod:1 ernet:1 perform:1 acknowledgments:1 noncentral:2 formulations:1 lett:5 linked:1 quant:1 spectrums:1 dimensionless:1 physical:1 higher:1 kaluzaklein:1 extended:1 singapore:1 effect:1 v1:6 v2:6 levels:2 arrived:1 potentials:2 kleinert:2 qa2:1 expression:1 streit:1 bohr:1 bohm:8 without:2 solve:1 coordinate:4 calcutta:1 model:2 chemistry:2 dimension:1 spherical:1 proposed:2 mcmillan:1 obtain:7 integer:4 followed:1 previous:1 field:1 had:1 mathematically:1 setting:1 treatment:2 mandal:1 apart:1 transformation:14 momentum:2 real:1 acta:1 vii:1 evaluate:1 punctual:1 using:17 dq1:1 necessary:1 like:3 particle:5 shaped:7 follows:1 bpm:1 carpio:2 flux:2 unstable:1 integrals:1 arbitrary:3 mcgraw:1 works:2 reduced:8 benzene:2 classical:2 stiefel:3 creation:4 some:5 hartmann:9 pφ:1 b1:3 b2:3 2qa:1 γa2:1 integration:1 q2a:7 q2b:7 scientific:1 steiner:1 journal:1 bk:4 simpler:1 central:17 world:2 most:1 basis:1 discussed:2 dependence:1 page:1 plus:3 introduced:1 own:1 h2:9 into:2 within:1 integral:16 bound:3 lies:1 bielefeld:1 references:1 operator:3 hep:1 support:1 there:1 u1:7 long:1 u2:12 start:1 encounters:1 way:3 astrophysics:1 function:1 2vb:1 complete:1 form:1 jun:1 ht:2 ho:1 atom:4 hc:3 hf:1 2πc:1 2πi:2 b84:1 us:4 liouville:8 converted:2 complications:1 uk:1 va2:1 b0:3 problem:4 ua:4 called:1 ub:2 mechanics:1 constant:2 af:1 defined:4 certain:2 abstract:1 general:4 ar:1 pˆ:7 laboratory:1 duru:2 formalism:1 defines:1 functions:6 nk:1 completeness:1 no:1 when:2 application:1 other:3 mathematics:1 theor:1 conclusion:1 problems:2 a1:2 a0:4 meaning:1 a2:3 shift:1 algebraic:2 implies:1 coupling:1 coulomb:5 dτ:3 dq2:1 n1:1 n2:14
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quant-ph9906029.txt |@word partial:2 consider:1 gp:4 rev:23 nelson:1 existing:1 leads:2 ge:1 c2:2 gn:12 zinn:1 reˇ:1 compact:2 excludes:1 careful:1 practical:1 watt:1 eligible:1 similarity:1 corrections:2 quasi:5 alvarez:1 under:2 anharmonic:3 norm:1 p2:1 conjecture:1 g4:1 g3:1 g2:17 straightforward:2 hatano:1 very:5 ginsburg:1 connects:1 choice:5 difference:3 continued:2 condition:3 illustrated:1 hamiltonian:2 evaluation:1 solution:8 large:5 discrete:1 math:20 manifestly:1 fl:1 path:1 degeneracy:1 upper:1 sturm:1 coordinate:1 oscillation:1 estimates:2 discover:1 sign:6 approximation:3 second:4 castro:2 rigorous:3 further:3 chem:2 colourful:1 linear:5 even:3 trick:2 ros:2 invertible:1 sum:2 near:6 current:3 birkhoff:2 en:1 above:1 kleinert:1 new:6 appeal:1 method:3 contrast:2 satisfy:2 full:1 exponentials:1 never:1 understanding:1 behaviour:1 asymmetry:1 simon:1 ansatz:22 active:1 based:1 along:1 quite:1 table:4 implicit:1 abbreviating:1 pleasant:1 roychoudhury:1 antisymmetric:2 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quant-ph9906030.txt |@word consider:5 illustrates:1 caused:5 gz:2 leads:1 scalar:1 disc:4 gm:3 2r2:1 causes:2 equivalence:2 finally:4 outwards:1 analogous:2 p2:1 straightforward:1 very:1 rise:1 translations:2 every:1 fall:1 four:2 school:1 internally:1 hamiltonian:7 solution:1 large:2 vector:2 small:3 employing:1 tel:2 zg:3 measurable:4 lubanski:1 rate:3 perspective:1 further:2 what:6 plays:1 clock:18 consequent:2 experiment:6 above:4 new:1 never:2 here:5 objects:1 galilean:1 along:5 equations:2 change:3 deduced:2 box:6 larger:2 amount:1 changes:2 via:1 traversing:1 total:13 univ:1 prove:1 eτ:2 classically:3 therefore:4 m2:2 more:2 israel:2 ejected:1 becomes:4 emission:1 rigid:1 normalized:1 impulse:2 particular:1 known:3 cases:2 must:6 setup:1 work:1 mi:1 centrifugal:2 arrive:1 tau:1 compare:1 process:1 relativistic:5 axis:4 respective:1 end:1 discussion:2 feature:1 located:1 instead:1 absolute:2 simplicity:3 after:3 derived:1 hight:1 consequence:1 constants:1 short:1 dynamical:1 effective:1 whenever:1 light:1 fundamental:2 sc:1 observability:1 first:2 restriction:2 interpretation:3 indeed:3 satisfied:1 interpreted:2 including:3 satisfies:3 pointer:1 its:1 boosts:2 before:1 group:3 acknowledge:1 relativity:1 li:4 aviv:2 systems:1 constitutes:1 pcm:1 mail:1 non:3 affected:1 they:3 identically:1 rotation:1 now:2 wiley:1 february:1 2r:1 invariants:1 university:2 appropriate:1 slide:1 2g:1 radial:6 found:1 weight:2 ed:1 energy:26 related:1 frequency:1 measure:7 quantum:12 our:3 eq:1 special:1 rt:1 shown:5 acknowledgment:1 space:1 since:5 rev:1 research:1 hcm:1 foundation:1 philosophy:1 theory:5 mω:1 possibility:1 york:1 e0:10 definition:1 interaction:2 r2:2 keep:1 motion:1 turn:2 hence:4 south:1 yakir:1 there:4 symmetry:1 succeeds:1 variables:3 another:1 force:1 open:1 angular:9 aharonov:3 illustrate:1 given:2 discussed:2 similarly:2 ordering:1 system:37 relations:4 unruh:1 needed:2 too:2 gives:1 shell:13 academy:1 direct:1 than:2 relative:5 princeton:2 require:1 preparation:1 enables:1 say:1 conjugate:4 any:1 acceleration:1 angle:2 latter:1 gravity:1 mechanism:1 note:3 sciences:1 gτ:1 combining:2 forces:1 accuracy:6 track:1 measures:1 most:1 device:5 measured:10 class:1 hi:3 principle:5 exp:1 velocity:4 physics:2 quantity:1 particularly:1 show:1 supported:1 rotating:1 wµ:2 relation:10 reznik:3 debate:1 dilation:1 only:3 generators:3 carolina:1 2mr:1 get:1 dg:1 zurek:1 cannot:2 during:3 dt:1 rshell:1 fields:1 arxiv:1 yield:1 requirement:1 observer:2 frame:2 correlations:1 observed:1 see:2 radius:1 terms:1 fails:1 distinctive:1 review:1 please:1 closed:17 between:1 weighing:10 gedanken:3 weak:1 however:6 zmax:1 inertia:2 both:3 last:3 uncertainty:31 according:3 etc:1 hψ:1 casimir:1 passing:1 argue:1 jammer:1 point:1 corresponds:1 respect:8 mc2:1 considering:1 described:1 pz:2 due:3 describes:2 basic:1 ph:1 pi:2 direction:3 describe:1 corresponding:1 reaction:3 scalars:3 quantities:1 wheeler:1 photon:1 precision:2 external:6 c2:4 c1:1 spin:2 case:4 uncertain:1 examine:1 will:4 while:1 suppose:2 irrespective:1 procedure:1 von:4 surface:1 il:1 vanish:2 grant:2 suggest:1 poincar:2 shifts:1 quant:1 pauli:1 independent:1 used:1 columbia:1 ri2:1 hand:1 v0:2 moment:2 purpose:1 contribution:1 reference:1 center:2 pµ:2 nevertheless:1 spacetime:1 humanities:1 well:4 bohr:3 bohm:2 coordinate:2 position:4 cφ2:1 spherical:2 distances:1 proposed:1 generally:3 newton:1 obtain:3 rest:4 isolated:3 clocks:1 previous:1 poses:1 exclusively:1 iω:1 potential:4 location:5 eigenstate:2 momentum:15 take:2 analogy:1 couple:1 term:1 department:1 press:1 using:2 lcm:1 like:1 particle:8 follows:3 δp:2 arbitrary:1 because:2 neumann:4 classical:1 some:2 back:4 deduce:1 proper:1 nonzero:1 provided:1 affects:1 measurements:1 does:1 minimal:2 measuring:7 object:1 substitution:1 post:1 limitation:1 introduces:2 within:14 rotations:2 nsf:1 hermitian:1 references:2 determine:1 einstein:2 assumed:1 support:1 initial:1 question:1 long:1 conservation:1 was:2 function:3 complete:1 form:1 offer:1 jun:1 but:2 magnitude:1 hm:1 hc:8 gravitational:8 us:4 ωi:1 ue:3 similar:1 distance:2 mechanics:3 ac:1 constant:2 defined:3 certain:2 abstract:1 measurement:24 am:1 general:4 duration:6 conserved:4 internal:12 physical:2 no:3 administered:1 when:2 casher:1 field:2 other:6 role:2 details:3 test:9 conclusion:2 important:1 bounded:1 variable:1 astronomy:1 implies:3 coupling:3 dτ:7 required:1 pseudo:1 mass:15 time:24 observables:6
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quant-ph9906031.txt |@word represent:2 concept:1 partial:1 consider:1 switched:1 results:1 leads:2 eds:1 generalize:1 go:2 whose:1 inverse:1 environment:1 finally:1 preserved:1 analogous:1 worth:1 divergent:1 very:1 wave:1 valued:2 deformations:1 hamiltonian:2 notes:1 trb:1 solution:3 damped:2 large:2 small:3 markov:1 oscillation:1 ρm:12 approximation:2 second:1 further:2 dynamics:2 linear:1 aim:1 nonlinear:3 appear:1 brackets:1 sum:1 mf:1 new:1 consisting:1 evaluating:1 κj:2 realizations:1 here:1 abandon:1 free:1 groups:1 extreme:1 bj:2 remark:1 study:1 studied:1 suggests:1 usually:1 fourier:1 matos:1 via:2 planck:1 unit:1 seligman:1 eiωt:4 commun:1 noting:1 taken:3 type:3 theoretical:1 reflects:2 more:1 introducing:1 becomes:1 operators:5 ellinas:1 validity:1 berlin:1 virtue:1 particular:1 known:1 me:1 states:2 springer:1 ρb:1 deformed:9 equation:14 mn:1 oscillator:11 remain:1 harmonious:1 values:2 following:2 my:1 example:2 give:1 relativistic:1 reconstructed:1 arise:1 unphysical:1 lamb:1 celoria:1 means:2 write:2 how:2 varies:1 instead:2 parameter:2 l873:1 obeys:1 product:1 de:1 intended:2 algebra:2 may:3 oscillators:10 after:1 derived:2 stefano:1 consequence:1 4th:1 response:1 constants:1 man:4 short:1 physical:2 third:1 whenever:1 explicit:1 18th:1 so:2 correlation:3 order:1 typical:1 interpretation:1 reservoir:2 developed:1 soon:1 distortion:1 course:1 thermal:1 paper:1 through:2 statistical:1 jaynes:1 its:5 lb:1 curly:1 interesting:1 systems:1 might:1 deformation:7 introduce:1 disregarded:1 effects:1 they:2 symposium:1 now:3 easily:1 term:2 several:2 possibilities:1 vibrations:2 l0:3 found:1 universit:1 differential:1 generation:1 frequency:8 quantum:4 nonlinearities:3 description:1 jimbo:1 restricted:1 furthermore:2 since:1 rev:3 denotes:1 transforming:1 lecture:1 ref:3 math:2 common:1 inevitably:1 wiley:1 theory:1 fisica:1 possibility:1 quite:1 reason:1 york:1 imagine:1 temperature:1 interaction:5 could:3 motion:2 hence:2 initial:1 number:5 given:5 rewritten:1 glauber:1 ordering:1 dipartimento:1 system:4 unspecified:1 their:1 assumption:1 master:9 types:2 gives:1 exploring:1 trapped:1 environmental:1 part:1 superoperator:2 natural:1 than:1 kind:1 kulish:1 zero:1 determined:1 amplitude:2 powers:1 fluctuation:1 any:1 lie:1 eq:6 strength:1 latter:1 generalized:1 mir:1 unless:1 scripta:1 enter:1 simplify:1 boltzmann:2 involving:1 cummings:1 measured:1 class:1 commutation:1 kb:2 observation:1 nonlinearity:3 considered:1 clear:1 milano:2 physica:1 exp:3 physics:2 notion:1 rotating:1 attempts:1 relation:2 wigner:1 trivial:1 principal:2 aρ:5 parameters:1 situations:1 should:1 only:3 summarizing:1 employed:1 invoke:1 di:2 dependent:2 express:1 expectation:1 joint:1 aγ:1 dt:5 continuum:1 arxiv:1 mathematicians:1 acknowledgments:1 noncanonical:1 clarified:1 correlations:1 depends:2 result:2 biedenharn:1 macfarlane:1 subject:1 interacting:1 marmo:3 between:1 approach:1 terms:5 nature:1 restricting:1 weak:1 however:2 group:1 density:4 connection:2 colloquium:1 filho:1 contribution:1 strongly:4 character:2 harmonic:2 moreover:1 gratitude:1 transformations:1 inadmissible:1 basis:2 simplification:1 due:1 been:4 cauchy:1 damping:4 ph:1 algebras:2 lett:4 obtained:1 coherent:1 careful:1 present:1 case:6 exponential:1 pacs:1 value:2 will:2 while:2 replaced:1 behavior:1 unitary:1 vogel:1 vol:1 thus:2 zaccaria:3 italy:1 generic:2 radiation:1 shorter:1 shifts:1 quant:1 units:2 gets:1 higher:1 used:2 see:1 singapore:1 sudarshan:2 hand:1 normalization:1 suitable:1 modes:2 nevertheless:1 modeled:1 obviously:1 model:3 usual:5 proposed:1 among:1 drinfeld:1 world:1 hint:2 seems:1 iω:1 treatment:1 theorem:1 mod:2 elt:1 real:1 louisell:1 showing:1 possible:3 immediately:1 searched:1 formal:1 necessary:1 like:1 chaichian:1 specific:1 δm:1 integrals:1 become:1 stationary:1 reduced:2 mathematical:1 methods:1 creation:2 some:1 growth:1 atakishiyev:1 neglecting:1 ourselves:1 describing:1 electromagnetic:1 integration:1 assuming:3 proc:3 assembly:1 scientific:1 expansion:1 properties:1 most:1 dependence:1 range:1 wolf:1 continous:1 introduced:3 h0:4 bath:12 down:1 dissipation:1 hermitian:1 references:1 operator:10 assumed:2 there:1 transform:1 stark:1 way:1 function:5 form:4 lint:2 jun:1 illuminating:1 hb:2 lindblad:2 irreversible:1 infm:1 made:3 applying:1 liouville:1 ωj:1 limit:1 distribution:3 cahill:1 aa:1 constant:3 af:1 int:3 ko:4 abstract:1 describe:1 general:2 exist:2 periods:1 constructed:1 incorrect:1 functions:1 compared:1 no:1 liouvillian:1 when:1 nf:5 field:2 other:2 theor:1 congress:1 time:5 deriving:1 included:1 structure:2 quasiprobability:1 coupling:1 dω:2 perturbatively:1 mancini:1 affects:1 far:1 restored:1
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quant-ph9906032.txt |@word unavoidable:1 consider:3 results:5 quadrature:3 computation:1 expressions:1 technique:1 mediated:1 γn:1 under:1 stochastic:6 indicating:1 applied:1 kρ:1 g2:2 straightforward:1 very:3 than:1 2re:1 rise:1 springer:1 readout:1 resonant:2 affect:2 exact:1 condition:1 trm:1 vibrational:13 hamiltonian:12 turns:1 solution:2 damped:2 large:3 detected:1 small:4 optics:1 smaller:1 force:1 oscillation:1 oscillator:1 sin2:2 zero:1 ρa2:1 dynamics:7 implemented:1 linear:4 even:2 plays:1 trapping:3 apparatus:2 nef:4 sum:1 xρ:1 while:1 current:2 above:3 new:1 continously:1 increasing:1 method:1 outgoing:1 ρaa:1 degree:2 modify:2 eigenoperators:1 here:2 vitali:3 localisation:1 desired:2 xθ:1 free:1 represented:1 consideration:1 along:1 observing:1 contraction:1 obtained:3 clarendon:1 shift:2 study:1 studied:1 allows:2 usually:1 resonance:1 implement:1 via:3 useful:1 logical:1 apply:1 standing:2 use:2 projector:1 would:2 γre:1 photocurrent:1 negative:1 few:1 therefore:1 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quant-ph9906033.txt |@word sci:1 consider:5 results:12 leads:1 roy:3 grateful:1 edu:2 consists:2 expressions:2 disk:2 hooke:2 layers:17 particles:3 inverse:1 calculate:3 σs1:2 dp:3 maradudin:2 smythe:1 dz2:1 petersburg:2 int:2 under:4 stochastic:5 differing:1 must:1 case:9 belonging:1 confirmation:1 worse:2 cantilever:14 far:1 frequencies:1 f23:3 atoms:2 geometrical:1 electron:1 figs:2 dispersions:1 blokland:1 redefinition:1 grado:1 difference:5 continued:1 deformations:1 condition:4 swiatecki:1 obvious:1 y1:8 level:4 transmission:1 turns:1 list:1 solution:1 standards:1 leave:2 minimizing:1 small:16 hospitality:1 noted:2 overbeek:1 finiteness:3 prevent:2 employing:1 force:97 consistent:1 prediction:1 cosh:1 approximation:1 second:8 proviso:1 arnold:1 rigorous:1 qualitatively:1 10p:1 estimated:1 situated:4 substitute:1 linear:4 setup:1 interatomic:1 errors:2 stands:1 brackets:1 section:1 interactions:2 brief:1 thickness:3 experiment:19 above:7 waals:3 fiore:1 crossed:1 net:3 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quant-ph9906036.txt |@word peacock:4 unavoidable:1 consider:4 represent:4 crucial:1 varying:2 alternatives:1 results:8 month:1 leads:3 eds:4 huge:1 entropy:2 mcmullin:1 go:4 follow:1 remarkably:2 abundant:1 contributions:1 reasoning:2 causes:1 content:1 supposedly:1 measurable:1 depend:1 violate:4 prejudice:2 acts:2 concerned:1 rhodes:1 tr:1 acting:3 send:2 passage:2 supported:1 vigier:2 finally:2 critical:1 device:6 present:3 under:2 alberta:2 analogous:1 insights:1 naturalistic:1 pay:1 belonging:1 confirmation:1 string:1 broadly:1 puzzled:1 very:9 dynamic:2 pages:2 continues:1 plausibility:1 subject:1 choice:2 superluminally:2 chooses:1 interpreting:1 experimentally:1 trouble:1 difference:1 exact:1 condition:1 entire:1 perceived:1 routledge:1 magic:1 prize:1 immediately:1 hamiltonian:16 transmission:6 louis:2 notes:1 tokyo:1 applicable:1 investigation:2 large:1 adjust:1 subquantum:1 section:3 zero:1 provided:1 fashion:1 ups:1 concluded:1 strongly:1 unexpected:1 force:2 contrasting:1 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quant-ph9906050.txt |@word gt:1 chain:1 similarity:1 results:1 leads:2 bergmann:5 gn:12 gk:4 whose:1 depend:3 passage:1 finally:1 swap:3 th:1 under:1 wjl:1 amplitudes:2 g2:4 orthogonal:1 iua:1 frequencies:2 wave:2 tridiagonal:1 emphasized:1 difference:1 matrices:1 condition:1 hamiltonian:5 valentin:1 solution:2 vector:1 eigenvalues:6 pulse:17 sign:1 past:1 zero:1 dynamics:1 odd:3 scientific:1 even:4 index:1 expressed:1 establishes:1 3c:1 3b:1 3a:1 contrast:1 3d:1 satisfy:1 here:1 pumping:1 equations:1 change:3 box:1 great:2 institute:1 resonance:5 plotted:2 via:2 regardless:1 9a:2 9b:1 assertion:1 apply:1 unit:1 readily:1 ψj:3 ψn:2 therefore:1 more:1 populations:2 clearly:1 odinger:2 normalized:1 cases:1 high:1 equation:2 work:1 ulk:1 westbrook:1 example:1 proof:2 finland:2 figure:1 process:1 states:11 g3:2 evidently:1 wjk:1 delay:4 very:1 simplicity:1 ω2p:1 ω2s:1 derived:1 helsinki:1 w2j:1 plateau:1 element:1 shore:5 so:1 order:10 satisfied:1 paper:2 pulses:7 its:5 before:2 write:1 symmetry:5 chosen:1 lk:1 conjugation:2 systems:4 rabi:3 main:2 eur:2 polarizations:1 dai:1 introduce:1 detunings:2 yu:1 maintaining:1 february:1 vitanov:4 found:1 2n:1 2j:1 prompted:1 ed:1 gaussian:1 related:1 frequency:1 assumption:1 gordan:1 eq:8 out:2 matrix:9 since:3 rev:6 shows:2 wiley:1 theory:1 diagonal:6 w1j:1 intermediate:2 transition:8 turn:1 wlj:1 hence:4 first:2 probability:8 omitted:1 linking:2 another:1 validate:1 interchange:1 given:3 similarly:1 unitarity:1 eqs:4 behaves:1 system:6 relations:3 ukl:1 zeros:1 too:1 molecular:1 final:3 academy:1 part:2 off:3 sublevels:1 completes:1 coefficients:1 population:12 approximation:2 determines:1 second:1 supposed:2 result:1 function:3 symmetries:3 seen:1 orders:3 efficient:1 phillips:1 potential:1 strengths:1 ujj:2 shall:1 iwj:1 iwt:1 connected:2 exp:2 physics:1 12a:2 12b:2 show:2 supported:1 rotating:2 relation:1 find:1 decade:1 pump:2 should:1 only:1 bases:1 factor:1 columns:1 above:1 means:3 reversal:4 new:1 evolution:3 arxiv:1 view:1 exists:2 clebsch:1 relative:1 w3:1 w2:2 w1:6 label:2 symmetric:3 state:25 ωj:2 hjk:3 envelopes:1 between:6 invariant:2 conditions:3 terms:3 initially:4 wn:20 wm:2 attention:1 wk:3 wj:4 efficiency:1 york:1 wt:2 both:2 similar:1 equal:2 against:2 distinction:1 marte:1 finds:2 nonadiabatic:7 ensures:1 basis:5 three:2 been:3 ph:1 fig:2 arises:1 corresponding:1 received:1 formed:1 photon:2 coherent:1 c2:1 c1:1 present:1 case:27 p1:4 laser:4 p5:4 remaining:4 while:2 applies:2 property:1 couplings:3 wkj:1 wkm:1 coupled:1 thus:1 surprisingly:1 ii:5 reads:1 diabatic:3 ia:1 ic:1 ig:1 containing:1 same:2 any:2 stimulated:2 complex:2 quant:1 units:3 several:1 singapore:1 upon:2 driven:2 moment:1 uses:1 robust:1 invariance:5 yuan:1 normalization:1 eigenvectors:1 schr:2 obviously:1 without:1 components:1 when:3 financially:1 atomic:1 world:1 hjm:2 λj:4 eigenstates:3 λm:1 cn:1 zoller:1 except:1 other:1 extends:1 lett:1 transformation:1 real:3 five:2 integer:1 mod:1 counterintuitive:2 like:1 success:1 follows:4 adiabatic:15 stirap:5 shapes:1 steps:1 evolutions:1 therein:3 because:1 deal:1 oscillations:2 provided:3 lead:3 broad:1 does:3 chains:2 demonstrated:1 11a:1 obey:2 11b:1 theuer:2 equivalent:6 step:1 stenholm:1 properties:2 stokes:2 carried:2 extension:1 column:3 oreg:1 o:1 involving:1 spreeuw:1 appropriate:1 references:3 determine:2 proportional:1 transfer:4 initial:10 long:2 raman:1 complete:1 enough:1 multistate:6 jun:1 delayed:3 wnm:1 pillet:1 ha:3 rolston:1 applying:2 intuitive:2 whether:1 ωp:16 ωs:16 smooth:1 un:2 spectroscopy:1 ωn:1 ua:6 constant:1 defined:2 certain:7 describe:1 am:1 general:1 duration:1 single:1 eigenstate:4 functions:4 igt:1 no:2 generally:1 field:1 valid:1 really:1 elements:1 excitation:1 emission:1 a1:1 ξj:4 a2:1 ξn:1 coupling:3 time:8 4b:1 original:1 restored:1 4a:1
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quant-ph9906051.txt |@word measurements:9 consider:2 magnetic:6 particular:1 four:10 prentiss:1 computation:1 consists:1 expressions:1 whose:2 amplification:1 const:1 fellowship:1 29b:1 29c:1 passage:2 finally:3 under:2 presentation:1 p2:1 amplitudes:4 straightforward:1 orthogonal:7 very:1 frequencies:4 springer:1 wave:1 sons:1 refractive:1 resonant:3 emphasized:1 difference:1 exact:2 condition:2 rotating:1 incoherent:2 level:5 knight:1 auspices:1 occurs:2 discrete:1 vector:6 relation:2 optics:3 der:2 measuring:19 20c:1 sin2:7 direct:1 pulse:14 approximation:1 bergmann:4 second:1 enhancement:1 chen:1 further:1 dynamics:4 chem:1 inaccurate:1 bilinear:1 index:1 stands:1 sum:1 axes:1 consequent:1 reminiscent:1 axial:1 poles:1 above:2 fractional:2 expresses:1 method:14 27a:1 27b:1 27c:1 27d:1 den:1 degree:7 respectively:2 component:2 here:2 atoms:3 cos2:6 address:2 19e:1 ratio:3 19f:1 equations:9 transformation:1 19c:1 19b:1 obtained:1 institute:2 involved:1 vectors:1 allows:2 befits:1 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quant-ph9906052.txt |@word partial:2 consider:5 maximum:4 caused:1 results:5 leads:4 overlap:5 consists:4 expressions:1 contributions:2 causes:1 2r0:4 devoted:1 inverse:3 depend:2 eˆ:1 tj:2 tb:2 worth:1 ta:3 amplitudes:1 g2:5 g1:5 frequencies:2 springer:1 wave:5 figs:1 mattle:1 lξ1:1 jurˇco:1 hamiltonian:1 t0:27 vector:3 small:1 optics:3 configurations:1 smaller:2 occurrence:1 zj:2 pulse:21 second:1 dordrecht:2 further:2 even:1 established:2 nonlinear:12 stands:2 rate:4 expressed:4 experiment:1 above:1 increasing:4 simultaneously:1 respectively:2 teleportation:1 behaviour:1 peˇrina:12 directions:1 path:1 along:1 constructive:1 observing:1 sinc:1 change:2 obtained:6 great:1 parameters:5 listopadu:1 suitably:2 institute:1 study:2 studied:6 completely:2 hospitality:1 conveniently:2 narrow:1 mutual:3 composed:5 useful:2 convolution:2 highly:1 decrease:1 summation:1 apply:1 univ:1 linearly:1 commun:1 positive:4 negative:2 intense:1 depicted:1 taken:1 type:2 theoretical:1 reflects:1 more:3 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quant-ph9906053.txt |@word designating:1 planetary:1 sci:1 proposed:1 show:1 photo:1 newton:3 produce:1 years:1 leads:1 press:2 paper:1 substituting:1 gm:3 d2:4 find:1 verlag:1 preserves:1 got:1 conclusions:1 interesting:1 reflection:1 relativity:5 coordinates:1 edge:1 9a:2 finally:1 easy:1 5a:2 good:1 therefore:1 straightforward:1 get:2 possible:1 zhen:1 framework:4 know:1 formula:1 oxford:1 integer:2 final:1 suppose:1 naturally:1 february:1 precession:1 like:1 2r:2 profound:1 turns:1 university:1 arxiv:1 solution:1 oddly:1 possibilities:2 magnitude:1 indication:1 2a:2 reasonable:2 follows:2 satisfactory:3 δu:2 force:1 presuming:1 classical:2 people:1 einstein:3 some:2 prediction:1 topics:1 deflection:7 breakthrough:1 see:1 astrophysical:1 radius:1 result:2 table:4 quantum:13 3r:3 best:1 mπ:1 even:1 large:1 gravitation:3 zhou:1 space:4 giving:1 sun:6 though:1 crucial:2 while:1 expressed:1 research:2 rd:1 enough:1 emerged:1 scientists:1 new:2 3a:2 supports:1 occurs:1 speed:1 discovery:1 preserve:1 process:1 theory:11 nature:1 easily:1 problems:1 equivalent:1 8a:2 here:1 quite:2 its:1 china:1 besides:1 arithmetical:1 consideration:2 cos:4 many:1 uncertainty:1 quantization:2 compatible:1 suggests:1 american:1 0a:4 symmetrical:1 passing:2 emperor:1 spacetime:1 experimental:2 first:1 exemplary:1 features:1 h2:4 competence:1 into:2 presupposed:1 references:1 been:1 another:1 liaoning:1 cr:1 univ:1 unit:2 given:1 1r:1 innate:1 indicate:1 there:3 u1:1 only:1 construct:1 u2:2 their:1 much:1 futile:1 hawking:1 ph:6 was:3 theoretical:6 synthesis:1 6a:2 modern:1 complete:1 successful:3 mind:1 explanation:2 corrected:2 great:1 but:1 somehow:1 fall:1 jiangsu:1 believe:1 than:1 insights:1 relative:1 keeping:1 made:1 accordance:1 mm:1 science:1 equation:4 second:2 value:1 theories:1 near:4 determined:1 values:3 shall:1 determining:2 following:1 problem:2 gives:4 feature:1 mechanics:4 dalian:1 constant:1 wang:6 calculation:5 abstract:1 specified:1 thus:2 dθ2:2 correction:1 sudden:1 exist:2 dθ:2 our:5 seen:2 dδ:11 any:1 ray:7 orbital:2 different:1 paradox:1 zero:1 no:1 perhaps:1 verify:1 penrose:2 when:3 gravity:2 same:1 arctan:1 centered:1 other:3 quant:6 significance:1 department:1 physical:1 sin:7 polar:2 used:1 temporary:1 inadvertently:1 normal:1 may:3 jun:1 convincing:1 unmeasurable:1 most:1 meaning:1 important:2 formulae:1 angle:2 law:3 constants:1 recent:1 lang:1 attempt:1 observation:2 light:8 calculated:1 epr:1 incredibly:1 together:1 thought:1 points:1 so:1 time:1 physics:3 order:2 quantity:1
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quant-ph9906055.txt |@word 8d:5 consider:6 corps:1 similarity:1 four:4 complexify:4 scalar:1 supplement:1 generalize:3 iu1:2 2r5:1 iu2:2 2r2:3 devoted:1 u3:65 const:1 turkish:1 acting:2 finally:2 γh:25 those:2 under:5 analogous:1 hill:2 p2:5 φnr:7 advantage:1 returning:1 very:1 bilinear:1 springer:4 wave:19 putting:4 hoang:1 varshalovich:1 difference:2 ds23:1 condition:8 leads:1 school:1 hamiltonian:7 p5:3 t2:1 solution:10 ds24:1 large:1 solved:3 vector:2 eigenvalues:3 anal:1 coinsides:2 der:1 reduces:1 upper:4 des:1 force:2 arctan:4 findings:1 miller:4 sin4:3 sin2:29 direct:1 cosh:1 hyperboloid:10 imply:1 nonhomogeneous:1 pass:1 further:3 ter:7 chem:1 d4:3 substitute:1 theory:6 even:2 will:2 what:1 gl:1 section:3 pui:1 sur:1 establishes:1 new:14 u2k:11 method:4 body:1 full:1 2kr:1 fiz:1 respectively:5 l1:1 here:5 atoms:1 ranges:1 tangent:1 cos2:7 separation:7 situation:1 path:6 along:1 du4:5 equations:23 change:1 contraction:6 obtained:3 cλ:2 du3:5 parameters:1 institute:1 eim:3 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quant-ph9906057.txt |@word consider:3 illustrates:1 rev:1 trigonometric:1 leads:1 quadrature:1 generalize:1 ga:1 expressions:1 centers:1 whose:3 inverse:2 depend:2 calculate:4 finally:5 monotonically:3 teaching:1 anharmonic:3 dramatically:1 kν:12 ingredient:1 case:17 string:1 advantage:1 very:2 rise:1 wave:9 bounding:1 difference:3 exact:17 deformations:1 condition:3 exponential:2 hamiltonian:14 louis:1 solution:12 correct:1 large:28 solved:1 small:2 eigenvalues:19 mo:1 upper:1 smaller:1 det:1 past:1 limǫ:1 zero:2 evaluated:1 odd:5 linear:4 even:4 what:1 section:1 axes:1 expressed:1 version:4 above:2 scientists:1 new:2 falling:1 increasing:1 method:2 coefficient:3 evaluating:2 equals:1 here:4 understanding:1 growing:2 path:13 along:7 standard:1 equations:7 appears:1 change:4 extreme:1 obtained:7 introductory:1 studied:4 suggests:1 periodic:3 resulting:3 procedure:1 york:1 emerge:3 useful:1 explained:2 scaled:1 iz:2 decrease:2 glance:1 conventional:3 asymptotic:6 usa:2 positive:9 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quant-ph9906058.txt |@word magnetically:1 consider:2 lagrangian:8 magnetic:22 results:3 consists:1 expressions:1 whose:3 depend:1 charge:5 those:1 analogous:3 very:5 allman:1 exact:1 entire:1 school:1 t0:7 vector:1 subscript:1 small:4 concluded:1 tel:2 second:3 dynamics:2 inert:3 uniform:1 current:6 experiment:17 above:4 lifshitz:1 new:3 lee:1 respectively:1 here:3 understanding:1 reported:2 objects:1 path:1 along:1 change:1 obtained:1 shift:4 action:5 neutrons:1 clockwise:1 unit:1 takes:1 uniformity:2 negative:1 classically:1 theoretical:1 introducing:1 israel:1 comparison:1 foundations:1 states:2 mf:3 work:5 taup:1 mv:7 values:1 thin:1 following:1 modifies:1 tau:1 stated:1 calculation:1 high:1 evidently:1 information:1 provide:1 discussion:1 holds:1 utilize:1 how:1 ordinary:2 circular:1 may:1 demonstrates:1 wiley:2 derived:2 plane:1 faculty:1 data:1 parallel:1 rather:1 so:2 help:1 indeed:1 vary:2 experiments:2 through:1 looks:1 mentioned:1 kinetic:2 its:9 before:1 aviv:2 curla:1 crucial:2 affected:1 thereby:1 material:5 landau:1 effects:1 they:2 oxford:1 rotation:1 nor:1 term:6 137b:1 always:1 university:1 transmitted:1 each:1 energy:4 obtains:1 quantum:10 ev:5 out:3 shown:2 jackson:1 since:1 interference:5 denotes:2 issue:1 shows:2 theory:1 free:1 reason:1 york:2 interaction:4 moment:4 motion:3 hence:4 leaps:1 first:1 another:2 force:2 ring:5 behaves:2 sackler:1 system:5 hypothetical:3 john:1 part:3 positively:1 polarized:3 drift:1 namely:2 treated:1 deciding:1 electrodynamics:1 turned:2 πa2:2 confirms:1 self:1 sciences:1 potential:1 induces:1 electric:4 object:4 device:5 intrinsic:1 why:1 physica:2 pipe:1 points:1 pattern:4 velocity:3 left:1 physics:2 fact:1 rotating:5 relation:2 substituting:1 find:1 ground:3 ratio:2 spite:2 baryonic:2 state:4 only:1 dl:2 notation:1 dependent:2 fluid:14 dt:2 ds:3 continuum:1 fields:1 arxiv:1 shull:1 pertains:1 mezei:2 exists:1 exerted:1 edition:1 depends:2 radius:1 analog:3 macroscopic:1 blatt:1 dipole:1 materials:1 written:1 closed:1 between:1 nuclear:1 neither:1 conditions:1 email:1 terms:2 distinguish:1 hundreds:1 instant:1 sensitive:1 mev:1 expression:2 finds:2 experimental:1 nonrelativistic:2 werner:1 associated:4 throughout:1 pp:1 described:2 due:2 tiny:1 magnetized:2 ph:1 lett:2 direction:3 corresponding:2 torque:2 understand:1 external:11 last:5 spin:2 present:2 case:2 unlike:1 pacs:1 examine:1 value:1 while:1 replaced:1 evaluating:1 applies:1 property:1 loop:3 thus:1 summhammer:1 ik:1 il:1 ib:1 containing:1 same:1 parts:1 quant:1 emphasize:1 units:1 several:1 neutron:30 higher:1 independent:2 used:2 raymond:1 see:1 insulating:2 uses:1 recent:1 off:1 well:1 analysis:1 obviously:1 without:1 charged:4 shape:1 aspect:3 facts:1 rotates:1 scattering:1 eli:1 regarded:1 except:1 internal:1 location:1 theorem:1 excited:2 aspects:1 evaluate:1 like:5 ad3:2 particle:1 follows:2 specific:1 beverly:1 wollan:1 classical:9 describing:1 affects:1 does:1 power:1 retains:1 electrically:1 motrunich:1 analyses:1 properties:4 bz:1 stokes:1 actual:1 carried:2 discussed:4 o:2 rev:3 pergamon:1 into:1 integral:1 phase:6 references:1 area:1 there:1 was:1 jun:1 neutral:1 true:1 made:1 applying:1 us:3 below:1 limit:1 similar:1 ac:1 constant:1 abstract:1 denote:3 single:1 physical:1 no:2 whereas:1 vanishes:2 field:16 other:1 role:1 spatial:2 time:1 uniformly:1 variation:1 meaning:1 mechanical:10 astronomy:1 structure:3 practically:1 required:1 mass:3 electromagnetic:2 augmented:1
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quant-ph9906059.txt |@word logarithms:1 sci:1 pointing:2 caused:1 magnetic:1 results:1 four:2 roy:3 computation:5 edu:1 row:1 preserves:1 aug:1 knill:1 refocus:1 factoring:3 tq:3 program:4 swap:1 under:1 amplitudes:1 advantage:1 very:2 reordering:1 lecture:1 resonant:1 experimentally:1 difference:2 rotating:1 exponential:1 presented:1 t4:1 t2:1 t3:1 t1:1 large:2 discrete:1 vector:1 small:2 radio:2 periodicity:2 deutsch:1 pulse:9 approximation:1 rate:2 j23:1 implemented:4 bilinear:1 3x:1 perimental:1 axes:1 current:1 experiment:2 above:5 resilient:1 international:1 method:1 body:2 full:1 respectively:1 here:1 atoms:1 operating:2 excess:2 along:5 imperfections:2 simulating:1 search:1 weinstein:1 shift:1 study:1 allows:3 gle:1 prior:1 periodic:1 permit:1 resonance:2 implement:1 fourier:8 studies:1 via:1 useful:1 pling:1 addressed:1 apply:2 imaginary:1 unit:1 use:1 takes:2 would:1 positive:2 cory:4 therefore:2 spike:1 themselves:1 theoretical:5 reflects:1 more:3 abrams:2 composite:1 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quant-ph9906062.txt |@word represent:3 consider:1 mehra:1 results:6 leads:3 roy:7 edu:1 disk:1 causes:1 hooke:1 layers:1 mazur:1 calculate:1 technique:1 smythe:1 charge:1 th:1 sputter:2 stochastic:3 include:1 ta:1 p2:1 1pn:1 cantilever:7 far:1 electron:2 should:1 blokland:1 experimentally:1 difference:5 exact:2 swiatecki:1 squares:3 riemann:1 signal:2 damped:1 large:6 minimizing:1 prevent:1 zo:10 force:70 consistent:3 measurable:1 cosh:1 approximation:1 zero:4 estimated:1 linear:3 3z:1 errors:5 hide:1 randrup:1 sum:1 tabor:2 thickness:2 experiment:8 above:2 lifshitz:4 new:1 lamoreaux:1 5nm:2 movement:2 edited:2 respectively:3 component:1 residual:7 here:11 0pn:2 reported:7 palik:1 separation:23 relaxation:1 represented:1 along:1 strong:3 z0:2 balian:1 evaporator:1 obtained:2 trans:1 clarendon:1 polystyrene:1 allows:2 spheres:1 accomplished:1 resulting:3 published:1 changes:2 composed:1 diameter:3 adjustable:6 requiring:1 replace:1 addressed:1 decrease:2 apply:1 coatings:3 total:6 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quant-ph9906067.txt |@word represent:3 monte:3 customary:1 rev:4 lack:1 results:5 leads:1 eds:1 quadrature:3 go:1 causes:1 whose:1 paris:1 technique:3 tr:1 tain:1 finally:1 γl:2 maryland:2 case:1 kumar:1 very:3 splitting:1 impinged:1 splitter:3 pbs:2 proposals:1 vector:1 ml:4 small:1 optics:1 upper:2 sin2:2 feasibility:2 rate:1 evaluated:2 further:1 dynamics:1 carlo:3 nonlinear:4 ˆa:2 ˆb:1 reconstruction:3 method:6 κm:2 dψl:1 respectively:3 component:2 here:1 pumping:1 reported:1 cos2:3 strong:2 obtained:5 suitably:1 studied:2 allows:1 contradiction:1 resulting:2 suitable:1 via:1 spatially:1 namely:2 outcomes:4 county:1 unit:1 plot:1 projector:1 prove:1 sample:1 ψl:3 taken:1 type:11 theoretical:4 separated:1 operators:1 varying:1 eη:4 analogous:1 must:1 reconstructed:1 account:1 unbiased:2 recall:1 averaged:1 oscillator:3 fock:2 values:3 following:6 specialized:1 example:1 compare:2 figure:2 give:1 states:1 sphere:1 performed:1 νl:5 needs:3 arrangement:2 rubin:1 acta:1 ordinary:1 sin:5 simplicity:1 product:1 impinging:2 max:1 oscillators:1 after:1 fe:4 wave:2 data:3 fo:1 natural:1 effective:2 joint:1 explicit:1 ghz:16 element:1 ones:1 algorithms:1 sect:1 correlation:2 order:1 triggering:2 horne:3 over:1 produced:1 report:1 through:3 statistical:3 volta:1 derive:1 group:1 interesting:1 laguerre:1 production:1 fig:3 pavia:3 main:1 downconversion:4 propose:1 polarizations:2 evolution:1 couples:1 now:1 susceptibility:2 university:1 ensemble:1 mode:9 each:2 2m:1 universit:1 macchiavello:1 2i:3 characterized:1 ei:2 generation:3 ed:1 einstein:1 idea:1 literature:1 measurement:6 quantum:20 eq:14 monitors:1 shown:1 matrix:3 crucial:1 denotes:3 particles:1 ref:2 occurs:1 linear:2 written:1 fisica:1 labs:1 extraordinary:1 reason:1 generate:2 dθl:1 created:1 bassi:1 caption:1 first:4 probability:3 scanning:2 kafatos:1 number:3 given:6 introduction:1 unknown:2 dipartimento:1 1a:1 intermediate:1 scheme:6 part:3 approximation:1 kind:1 second:1 tomographic:6 preparation:2 represents:2 providing:1 collecting:1 measure:1 generalization:1 randomly:1 greenberger:3 weinfurter:1 any:4 relatively:1 strength:1 depending:2 generalized:2 detector:2 mlynek:1 lα:1 involving:1 phase:1 measured:1 deviations:1 dordrecht:2 average:2 detectors:4 physica:1 optical:1 χb:1 χa:3 left:1 physics:1 fact:1 hyper:1 show:1 d2:4 d1:4 eiϕ1:2 photodetector:5 based:1 just:1 writes:1 state:40 analytic:1 only:1 local:4 do:5 mixture:3 notation:1 di:3 de:5 overall:1 expectation:3 beam:5 cannot:1 dx:1 combinations:2 reconstruct:1 dt:2 ϕa:2 ϕb:3 processes:1 podolsky:1 arxiv:1 photodetectors:2 reveals:2 bars:1 set:3 achieved:1 unpublished:1 correlations:2 detection:1 see:3 full:1 result:1 dµ:4 annihilation:1 phases:2 crystal:10 µl:4 pump:3 between:2 approach:1 checks:1 nature:1 tomographically:1 however:2 efficiency:9 wu:1 suggested:1 observable:1 cos:8 according:1 figures:1 polarizing:3 contribution:1 expression:2 experimental:4 co:5 point:1 simple:2 homodyne:13 ce:4 polynomial:1 respect:1 pp:2 described:1 transformations:1 aˆ:1 due:1 been:6 detrimental:1 collected:1 ph:1 ariano:4 field:2 generating:4 corresponding:1 θl:4 photon:7 zeilinger:4 coherent:3 denote:1 present:3 p2:2 p3:1 multi:4 p1:2 solid:1 value:5 will:1 error:2 procedure:1 unitary:2 shumovsky:1 averaging:1 keller:1 non:1 ii:6 reads:1 different:2 italy:1 generic:1 radiation:6 same:1 poincar:1 unity:1 quant:1 split:2 pan:1 four:1 used:4 schiller:1 numerical:1 effect:1 recent:1 lower:1 modes:12 min:1 well:1 solids:1 without:2 baltimore:2 components:1 simulated:1 quantitative:1 parametric:5 usual:1 proposed:3 being:2 when:3 kluwer:2 density:2 photons:1 bell:1 guaranteed:1 parametrization:1 lett:1 theorem:1 identical:1 tests:1 easily:1 evaluate:1 couple:1 possible:1 department:1 vacuum:2 using:6 follows:1 thoery:1 arbitrary:1 output:3 reduced:1 therein:1 sketch:1 right:1 classical:1 some:2 pφ:2 generates:1 describing:1 electromagnetic:1 measurements:1 provides:1 measuring:2 bo:2 although:1 eiφ:1 sacchi:1 about:1 pη:2 universe:1 basis:2 o:23 estimator:5 act:1 mixed:1 recognizes:1 into:1 three:2 references:2 estimators:1 operator:6 proportional:1 additional:1 daniell:1 low:4 way:2 function:1 medium:1 complete:2 jun:1 gain:3 line:1 true:2 collapses:1 infm:1 evident:1 up:3 ul:2 verification:2 spectroscopy:1 pumped:2 distribution:1 shih:1 ab:1 abstract:1 sketched:1 ao:2 general:1 single:7 simulations:5 tomography:10 crystals:2 bouwmeester:1 nl:5 no:1 slovaca:1 whereas:2 rosen:2 reality:1 application:1 conceptions:1 points:1 test:1 elements:2 exp:2 plate:2 separate:1 initio:1 excite:1 prepared:1 generated:1 variable:1 multimode:1 coupling:2 assume:1 rule:1 weights:1
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quant-ph9906070.txt |@word monte:4 concept:1 transitions:1 consider:8 springer:4 hulet:1 interference:2 magnetic:2 varying:1 results:11 indicates:1 ghrist:1 pcoll:2 lewenstein:8 consists:4 follow:1 gm:12 denotes:3 causes:1 poorly:1 devoted:3 increase:3 dimensionality:1 created:1 quasi:2 helps:1 th:1 under:5 tf:1 stochastic:2 characterised:1 cm3:1 cm2:1 interacting:5 ηlm:5 orthogonal:2 very:9 frequencies:6 parable:1 wave:3 figs:2 resonant:1 experimentally:1 difference:1 condition:5 cool:2 preuss:1 four:3 dominate:1 incoherent:1 level:31 turns:2 large:3 independence:2 splitted:1 markov:1 optics:2 accumulation:1 12th:1 configurations:1 employing:2 specially:2 oscillation:1 cond:1 prediction:1 pulse:16 modified:1 approximation:7 fold:1 zero:5 design:2 enhancement:1 qualitatively:1 dynamics:21 carlo:4 expressions:1 linear:5 even:5 will:3 what:1 appear:3 rate:5 incompatible:1 comparable:1 na:1 section:5 evaporative:3 consequent:1 above:3 3c:1 3b:1 3a:1 order:11 method:1 3d:1 body:10 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quant-ph9906071.txt |@word holthaus:2 gp:1 magnetic:4 particular:3 splitting:3 four:1 2c2:1 gn:2 expressions:1 denotes:1 contributions:1 causes:1 griffin:2 maximally:5 a54:3 technique:1 ketterle:4 corrections:1 environment:1 quasi:5 behave:3 kη:3 underestimates:1 under:2 alberta:3 maryland:1 tc:3 applied:1 g3:12 g2:14 g1:15 g0:11 frequencies:3 collision:1 rise:1 alter:1 focus:3 rationality:1 affect:3 difference:2 condition:5 leads:2 school:1 hamiltonian:4 zeit:1 irreducible:1 anisotropy:18 crossovers:2 t3:2 deals:2 solid:2 convenience:1 small:9 eigenvalues:1 optics:1 accumulation:2 degeneracy:1 zl:3 averaged:1 slower:1 vasilyev:1 ze:30 cond:1 l3:3 zero:3 further:3 dynamics:5 50a:1 davis:1 even:3 nonlinear:2 appear:3 section:13 evaporative:1 mechanics:2 near:4 kosterlitz:2 current:1 above:7 values:1 ground:20 waveguide:1 method:1 aλj:1 satisfy:1 edited:4 condensed:1 degree:4 d1:1 respectively:4 never:3 component:2 here:3 atoms:8 focused:1 andrews:2 sinh:4 address:1 active:1 along:6 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quant-ph9906072.txt |@word consider:1 rev:1 lack:1 results:1 four:1 quadrature:1 edu:1 go:1 gh:1 whose:1 amplification:1 depend:2 squeezing:8 under:2 indicating:1 applied:2 straightforward:1 far:2 balancing:4 leads:1 branca:1 level:3 transmission:1 try:1 discrete:1 added:2 picked:1 further:1 port:4 machines:1 victor:3 even:2 what:2 stands:2 giving:1 goes:1 increasing:2 method:1 respectively:2 never:1 teleportation:12 here:2 operating:2 strong:1 obtained:2 popescu:1 losses:3 leaving:1 prior:1 bob:1 plotted:1 examining:1 useful:3 requiring:1 hardy:1 unit:2 plot:2 use:1 would:1 examined:2 arms:2 criteria:1 australian:1 assessment:1 tell:1 separated:1 knows:1 tester:1 outputs:5 operators:2 occurred:1 visibility:24 correspondingly:1 basically:1 known:1 cases:1 must:2 high:1 locked:3 science:2 oscillator:2 london:1 reproduce:1 remain:1 arrangements:2 values:5 achieve:1 boschi:1 neglected:2 states:1 performed:2 degenerate:2 counting:1 occur:1 gains:1 teleport:1 educational:1 monitoring:1 advantage:1 divided:1 arrangement:4 write:1 how:4 pure:1 instead:1 inputs:2 beauty:1 may:3 after:1 produce:1 faculty:1 fh:20 horizontal:1 types:1 complexity:1 so:3 allow:1 martini:1 attenuator:1 experiments:3 through:2 fidelity:3 still:1 its:2 perfect:1 machine:1 polarizing:2 verifier:1 exhibits:1 writing:1 better:1 fig:19 recombined:1 mail:1 bout:7 might:2 versus:5 non:1 greater:1 matches:1 polarizations:1 practice:2 effects:1 they:2 half:1 now:3 assess:1 always:2 university:1 visibilities:2 mode:22 each:5 polzik:1 ports:1 schemes:1 scheme:1 reduce:1 interferometer:6 used:5 measure:1 our:1 eq:4 out:30 shown:1 interference:1 performs:1 mattle:1 ref:1 correct:1 working:3 polkinghorne:1 imagine:2 λch:2 pairs:1 could:6 times:1 levels:3 place:2 hence:1 first:2 major:1 behaves:1 number:2 another:1 timothy:1 needed:1 achieved:3 system:2 their:1 rates:1 passed:1 destruction:1 bits:1 final:1 correlations:1 imperfect:1 exactly:1 optical:2 than:2 polarized:1 fuchs:1 require:1 intensity:1 determined:1 reproduction:1 providing:1 deciding:1 well:3 generalization:1 anu:1 emphasizing:1 weinfurter:1 any:3 self:3 polarization:9 schematically:1 performance:3 channel:1 heisenberg:1 continuous:3 who:1 propagate:1 plus:1 pair:3 mach:9 considered:1 average:2 braunstein:3 principle:1 physics:1 relation:1 loock:2 imagined:1 find:2 based:2 knowledge:2 versatility:1 only:4 going:1 eibl:1 inferior:1 dopo:2 do:2 reconstruction:1 dh:9 spurious:1 beams:5 de:1 expectation:5 beam:3 becomes:1 podolsky:1 fields:1 arxiv:1 investigate:1 including:1 set:3 reference:1 attenuated:1 national:1 testing:5 up:2 detection:1 see:4 individual:1 result:1 arm:3 ability:1 currently:1 ralph:8 state:20 various:6 justified:1 conditions:4 knowing:2 notice:1 recently:1 amplitude:1 vertical:1 nature:2 however:1 equals:1 efficiency:1 configuration:2 come:1 suggested:2 both:1 contrasted:2 improved:1 limits:1 figures:1 exceeds:1 qubit:1 expression:1 ch:13 conclude:1 homodyne:1 ct:1 illustrated:1 basis:1 been:2 interest:1 compensating:1 ph:3 corresponding:1 efficacy:2 sorensen:1 formed:2 photon:8 zeilinger:1 coherent:3 careful:1 present:1 case:3 examine:2 squeezer:13 suppose:1 squeezed:4 balance:1 thus:4 site:1 ii:1 characterize:1 entangler:1 suggests:1 suggest:1 same:4 clearly:1 member:1 unity:2 quant:3 schematic:1 finite:1 pan:1 higher:2 attenuation:4 squeezers:1 zehnder:9 effect:1 possible:1 bouwmeester:1 entanglement:23 identity:1 keep:1 modes:5 epr:1 analysis:1 person:1 without:4 very:1 parametric:4 know:2 just:1 prepares:1 portrayed:1 feedforward:2 photons:6 source:1 setting:1 lett:2 input:16 opt:1 australia:1 checking:1 displace:1 dark:1 test:1 entangled:4 vacuum:4 using:8 loss:2 displaced:1 like:1 lost:1 alternatively:2 flux:1 either:1 arbitrary:2 become:1 works:1 reduced:1 because:2 schematics:1 classical:5 some:1 trends:1 aout:7 kimble:1 lead:1 measurements:2 overlap:1 manipulations:1 does:2 inject:1 power:1 june:1 bh:12 bv:3 although:1 output:9 optimize:1 actual:1 carried:2 discussed:2 dependence:1 furusawa:1 act:1 mixed:1 introduced:1 equally:1 beamsplitter:6 into:2 λopt:3 fidelities:1 phase:2 right:1 references:1 determine:1 einstein:1 van:1 assumed:1 low:1 was:1 function:1 jun:1 but:6 gain:18 highest:1 true:2 type:1 maximum:3 us:1 achieving:1 limit:2 demonstrate:1 problem:1 similar:1 constant:1 ah:12 abstract:1 combining:1 doesn:1 general:1 single:20 au:1 av:3 constructed:1 nh:3 again:1 compared:1 ideally:1 no:5 rosen:1 field:4 other:1 spatial:1 department:1 nv:3 conclusion:1 picture:1 superposition:3 separate:3 drift:1 variable:3 building:1 teleported:8 original:1 once:2
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