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in a many-body localized (mbl) quantum system, the ergodic hypothesis breaks down, giving rise to a fundamentally new many-body phase. whether and under which conditions mbl can occur in higher dimensions remains an outstanding challenge both for experiments and theory. here, we experimentally explore the relaxation dy...
probing slow relaxation and many-body localization in two-dimensional quasiperiodic systems
the statistical mechanical description of small systems staying in thermal equilibrium with an environment can be achieved by means of the hamiltonian of mean force. in contrast to the reduced density matrix of an open quantum system, or the reduced phase-space probability density function of a classical open system, t...
colloquium: statistical mechanics and thermodynamics at strong coupling: quantum and classical
we demonstrate p t -symmetry-breaking chaos in an optomechanical system, which features an ultralow driving threshold. in principle, this chaos will emerge once a driving laser is applied to the cavity mode and lasts for a period of time. the driving strength is inversely proportional to the starting time of chaos. thi...
p t -symmetry-breaking chaos in optomechanics
we propose a scheme based on the neural-network quantum states to simulate the stationary states of open quantum many-body systems. using the high expressive power of the variational ansatz described by the restricted boltzmann machines, which we dub as the neural stationary state ansatz, we compute the stationary stat...
constructing neural stationary states for open quantum many-body systems
producing quantum states at random has become increasingly important in modern quantum science, with applications being both theoretical and practical. in particular, ensembles of such randomly distributed, but pure, quantum states underlie our understanding of complexity in quantum circuits1 and black holes2, and have...
preparing random states and benchmarking with many-body quantum chaos
we study quantum information scrambling in a random unitary circuit that exchanges qubits with an environment at a rate p . as a result, initially localized quantum information not only spreads within the system, but also spills into the environment. using the out-of-time-order correlator (otoc) to characterize scrambl...
scrambling transition in a radiative random unitary circuit
inspired by the universal operator growth hypothesis, we extend the formalism of krylov construction in dissipative open quantum systems connected to a markovian bath. our construction is based upon the modification of the liouvillian superoperator by the appropriate lindbladian, thereby following the vectorized lanczo...
operator growth and krylov construction in dissipative open quantum systems
forming the backbone of quantum technologies today, entanglement has been demonstrated in physical systems as diverse as photons, ions and superconducting circuits. although steadily pushing the boundary of the number of particles entangled, these experiments have remained in a two-dimensional space for each particle. ...
multi-photon entanglement in high dimensions
in these lecture notes, partly based on a course taught at the karpacz winter school in march 2014, we explore the close connections between non-adiabatic response of a system with respect to macroscopic parameters and the geometry of quantum and classical states. we center our discussion around adiabatic gauge potenti...
geometry and non-adiabatic response in quantum and classical systems
both classical and quantum waves can form vortices : entities with helical phase fronts and circulating current densities. these features determine the intrinsic orbital angular momentum carried by localized vortex states. in the past 25 years, optical vortex beams have become an inherent part of modern optics, with ma...
theory and applications of free-electron vortex states
the time evolution of the entanglement entropy in non-equilibrium quantum systems provides crucial information about the structure of the time-dependent state. for quantum quench protocols, by combining a quasiparticle picture for the entanglement spreading with the exact knowledge of the stationary state provided by b...
entanglement dynamics after quantum quenches in generic integrable systems
artificial gauge fields are currently realized in a wide range of physical settings. this includes solid-state devices but also engineered systems, such as photonic crystals, ultracold gases and mechanical setups. it is the aim of this review to offer, for the first time, a unified view on these various forms of artifi...
artificial gauge fields in materials and engineered systems
we extend the keldysh technique to enable the computation of out-of-time order correlators such as < o(t) o ∼ (0) o(t) o ∼ (0) > . we show that the behavior of these correlators is described by equations that display initially an exponential instability which is followed by a linear propagation of the decoherence...
microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
we review recent progress in understanding the notion of locality in integrable quantum lattice systems. the central concept concerns the so-called quasilocal conserved quantities, which go beyond the standard perception of locality. two systematic procedures to rigorously construct families of quasilocal conserved ope...
quasilocal charges in integrable lattice systems
measurements allow efficient preparation of interesting quantum many-body states with long-range entanglement, conditioned on additional transformations based on measurement outcomes. here, we demonstrate that the so-called conformal quantum critical points (cqcp) can be obtained by performing general single-site measu...
decoding measurement-prepared quantum phases and transitions: from ising model to gauge theory, and beyond
in twisted bilayers of semiconducting transition metal dichalcogenides, a combination of structural rippling and electronic coupling gives rise to periodic moiré potentials that can confine charged and neutral excitations1-5. here we show that the moiré potential in these bilayers at small angles is unexpectedly large,...
deep moiré potentials in twisted transition metal dichalcogenide bilayers
out-of-time ordered (oto) correlation functions describe scrambling of information in correlated quantum matter. they are of particular interest in incoherent quantum systems lacking well defined quasi-particles. thus far, it is largely elusive how oto correlators spread in incoherent systems with diffusive transport g...
scrambling and thermalization in a diffusive quantum many-body system
we construct brownian sachdev-ye-kitaev (syk) chains subjected to continuous monitoring and explore possible entanglement phase transitions therein. we analytically derive the effective action in the large-n limit and show that an entanglement transition is caused by the symmetry breaking in the enlarged replica space....
measurement-induced phase transition in the monitored sachdev-ye-kitaev model
the phase diagram of strong interactions in nature at finite temperature and chemical potential remains largely theoretically unexplored due to inadequacy of monte-carlo-based computational techniques in overcoming a sign problem. quantum computing offers a sign-problem-free approach, but evaluating thermal expectation...
towards quantum computing phase diagrams of gauge theories with thermal pure quantum states
phase transitions are driven by collective fluctuations of a system's constituents that emerge at a critical point1. this mechanism has been extensively explored for classical and quantum systems in equilibrium, whose critical behaviour is described by the general theory of phase transitions. recently, however, fundame...
quantum critical behaviour at the many-body localization transition
the ability to control the motion of mechanical systems through interaction with light has opened the door to a plethora of applications in fundamental and applied physics. with experiments routinely reaching the quantum regime, the focus has now turned towards creating and exploiting interesting non-classical states o...
optomechanics for quantum technologies
hydrodynamics is a universal effective theory that describes the thermalization of chaotic many-body systems, and depends only on the symmetries of the underlying theory. although the navier-stokes equations can describe classical liquids and gases, quantum fluids of ultracold atoms or quark-gluon plasma, they cannot y...
breakdown of hydrodynamics below four dimensions in a fracton fluid
quarks cannot be observed as free particles in nature because they are confined into baryons and mesons, as a result of the fact that the strong interaction between them increases with their separation. however, it is less known that this phenomenon also occurs in condensed matter and statistical physics as experimenta...
real-time confinement following a quantum quench to a non-integrable model
we discuss a general method for constructing nonreciprocal, cavity-based photonic devices, based on matching a given coherent interaction with its corresponding dissipative counterpart; our method generalizes the basic structure used in the theory of cascaded quantum systems and can render an extremely wide class of in...
nonreciprocal photon transmission and amplification via reservoir engineering
quantum atomic and molecular gases are flexible systems for studies of fundamental many-body physics. they have traditionally been produced in harmonic electromagnetic traps and thus had inhomogeneous densities, but recent advances in light shaping for optical trapping of neutral particles have led to the development o...
quantum gases in optical boxes
we investigate the nonlinear interaction between a squeezed cavity mode and a mechanical mode in an optomechanical system (oms) that allows us to selectively obtain either a radiation-pressure coupling or a parametric-amplification process. the squeezing of the cavity mode can enhance the interaction strength into the ...
squeezed optomechanics with phase-matched amplification and dissipation
quantum information technologies, on the one hand, and intelligent learning systems, on the other, are both emergent technologies that are likely to have a transformative impact on our society in the future. the respective underlying fields of basic research—quantum information versus machine learning (ml) and artifici...
machine learning & artificial intelligence in the quantum domain: a review of recent progress
optomechanical cavities have been studied for applications ranging from sensing to quantum information science. here, we develop a platform for nanoscale cavity optomechanical circuits in which optomechanical cavities supporting co-localized 1,550 nm photons and 2.4 ghz phonons are combined with photonic and phononic w...
coherent coupling between radiofrequency, optical and acoustic waves in piezo-optomechanical circuits
quantum light is characterized by distinctive statistical distributions that are possible only because of quantum mechanical effects. for example, single photons and correlated photon pairs exhibit photon number distributions with variance lower than classically allowed limits. this enables high-fidelity transmission o...
a topological source of quantum light
the extension of many-body quantum dynamics to the nonunitary domain has led to a series of exciting developments, including new out-of-equilibrium entanglement phases and phase transitions. we show how a duality transformation between space and time, on one hand, and unitarity and nonunitarity, on the other, can be us...
fractal, logarithmic, and volume-law entangled nonthermal steady states via spacetime duality
we propose an ordered set of experimentally accessible conditions for detecting entanglement in mixed states. the k-th condition involves comparing moments of the partially transposed density operator up to order k. remarkably, the union of all moment inequalities reproduces the peres-horodecki criterion for detecting ...
symmetry-resolved entanglement detection using partial transpose moments
the resource theory of asymmetry is a framework for classifying and quantifying the symmetry-breaking properties of both states and operations relative to a given symmetry. in the special case where the symmetry is the set of translations generated by a fixed observable, asymmetry can be interpreted as coherence relati...
quantum speed limits, coherence, and asymmetry
the physics of the gravitational form factors of the proton, as well as their understanding within quantum chromodynamics, has advanced significantly in the past two decades through both theory and experiment. this colloquium provides an overview of this progress, highlights the physical insights unveiled by studies of...
colloquium: gravitational form factors of the proton
we study disorder-induced ergodicity breaking transition in high-energy eigenstates of interacting spin-1/2 chains. using exact diagonalization, we introduce a cost function approach to quantitatively compare different scenarios for the eigenstate transition. we study ergodicity indicators such as the eigenstate entang...
ergodicity breaking transition in finite disordered spin chains
quantum many-body scar states are many-body states with finite energy density in non-integrable models that do not obey the eigenstate thermalization hypothesis. recent works have revealed "towers" of scar states that are exactly known and are equally spaced in energy, specifically in the aklt and spin-1 xy models, and...
unified structure for exact towers of scar states in the affleck-kennedy-lieb-tasaki and other models
the momentum transfer between a photon and an object defines a fundamental limit for the precision with which the object can be measured. if the object oscillates at a frequency ω0 , this measurement backaction adds quanta ℏω0 to the oscillator's energy at a rate γrecoil, a process called photon recoil heating, and set...
direct measurement of photon recoil from a levitated nanoparticle
pursuing fractionalized particles that do not bear properties of conventional measurable objects, exemplified by bare particles in the vacuum such as electrons and elementary excitations such as magnons, is a challenge in physics. here we show that a machine-learning method for quantum many-body systems that has achiev...
dirac-type nodal spin liquid revealed by refined quantum many-body solver using neural-network wave function, correlation ratio, and level spectroscopy
quantum mechanics allows events to happen with no definite causal order: this can be verified by measuring a causal witness, in the same way that an entanglement witness verifies entanglement. here, we realize a photonic quantum switch, where two operations a ^ and b ^ act in a quantum superposition of their two possib...
indefinite causal order in a quantum switch
the relaxation of isolated quantum many-body systems is a major unsolved problem connecting statistical and quantum physics. studying such relaxation processes remains a challenge despite considerable efforts. experimentally, it requires the creation and manipulation of well-controlled and truly isolated quantum system...
ultracold atoms out of equilibrium
quantum theory has been successfully validated in numerous laboratory experiments. but would such a theory, which effectively describes the behavior of microscopic physical systems and its predicted phenomena such as quantum entanglement, still be applicable on large length scales? from a practical perspective, how can...
micius quantum experiments in space
the ongoing quest for understanding nonequilibrium dynamics of complex quantum systems underpins the foundation of statistical physics as well as the development of quantum technology. quantum many-body scarring has recently opened a window into novel mechanisms for delaying the onset of thermalization by preparing the...
observation of many-body scarring in a bose-hubbard quantum simulator
thermodynamic uncertainty relations (turs) place strict bounds on the fluctuations of thermodynamic quantities in terms of the associated entropy production. in this letter, we identify the tightest (and saturable) matrix-valued tur that can be derived from the exchange fluctuation theorems describing the statistics of...
thermodynamic uncertainty relations from exchange fluctuation theorems
we give a pedagogical introduction to the generalized hydrodynamic approach to inhomogeneous quenches in integrable many-body quantum systems. we review recent applications of the theory, focusing in particular on two classes of problems: bipartitioning protocols and trap quenches, which represent two prototypical exam...
generalized-hydrodynamic approach to inhomogeneous quenches: correlations, entanglement and quantum effects
we study one-dimensional spin-1 /2 models in which strict confinement of ising domain walls leads to the fragmentation of hilbert space into exponentially many disconnected subspaces. whereas most previous works emphasize dipole moment conservation as an essential ingredient for such fragmentation, we instead require t...
hilbert-space fragmentation from strict confinement
all quantum optomechanics experiments to date operate at cryogenic temperatures, imposing severe technical challenges and fundamental constraints. here, we present a novel design of on-chip mechanical resonators which exhibit fundamental modes with frequencies f and mechanical quality factors qm sufficient to enter the...
mechanical resonators for quantum optomechanics experiments at room temperature
we investigate the dynamics of two-dimensional quantum spin systems under the combined effect of random unitary gates and local projective measurements. when considering steady states, a measurement-induced transition occurs between two distinct dynamical phases, one characterized by a volume-law scaling of entanglemen...
measurement-induced criticality in (2 +1 )-dimensional hybrid quantum circuits
statistical mechanics is founded on the assumption that all accessible configurations of a system are equally likely. this requires dynamics that explore all states over time, known as ergodic dynamics. in isolated quantum systems, however, the occurrence of ergodic behaviour has remained an outstanding question. here,...
ergodic dynamics and thermalization in an isolated quantum system
we study the effect of local projective measurements on the quantum quench dynamics. as a concrete example, a one-dimensional bose-hubbard model is simulated by the matrix product state and time-evolving block decimation. we map out a global phase diagram in terms of the measurement rate in spatial space and time domai...
measurement-induced phase transition: a case study in the nonintegrable model by density-matrix renormalization group calculations
nano- and micromechanical solid-state quantum devices have become a focus of attention. reliably generating nonclassical states of their motion is of interest both for addressing fundamental questions about macroscopic quantum phenomena and for developing quantum technologies in the domains of sensing and transduction....
hanbury brown and twiss interferometry of single phonons from an optomechanical resonator
the interplay between quantum-mechanical properties, such as coherence, and classical notions, such as energy, is a subtle topic at the forefront of quantum thermodynamics. the traditional carnot argument limits the conversion of heat to work; here we critically assess the problem of converting coherence to work. throu...
the extraction of work from quantum coherence
electronic circuits operating at sub-kelvin temperatures are attractive candidates for studying classical and quantum thermodynamics: their temperature can be controlled and measured locally with exquisite precision, and they allow experiments with large statistical samples. the availability and rapid development of de...
towards quantum thermodynamics in electronic circuits
we experimentally simulate nonunitary quantum dynamics using a single-photon interferometric network and study the information flow between a parity-time- (p t -)symmetric non-hermitian system and its environment. we observe oscillations of quantum-state distinguishability and complete information retrieval in the p t ...
observation of critical phenomena in parity-time-symmetric quantum dynamics
we extend beyond the euler scales the hydrodynamic theory for quantum and classical integrable models developed in recent years, accounting for diffusive dynamics and local entropy production. we review how the diffusive scale can be reached via a gradient expansion of the expectation values of the conserved fields and...
diffusion in generalized hydrodynamics and quasiparticle scattering
we study holographic entanglement entropy in ds /cft and introduce timelike entanglement entropy in cfts. both of them take complex values in general and are related with each other via an analytical continuation. we argue that they are correctly understood as pseudoentropy. we find that the imaginary part of pseudoent...
pseudoentropy in ds /cft and timelike entanglement entropy
this review summarizes recent advances in our understanding of anomalous transport in spin chains, viewed through the lens of integrability. numerical advances, based on tensor-network methods, have shown that transport in many canonical integrable spin chains-most famously the heisenberg model-is anomalous. concurrent...
superdiffusion in spin chains
a new model, termed d4, for the efficient computation of molecular dipole-dipole dispersion coefficients is presented. as in the related, well established d3 scheme, these are obtained as a sum of atom-in-molecule dispersion coefficients over atom pairs. both models make use of dynamic polarizabilities obtained from fi...
extension of the d3 dispersion coefficient model
the dynamics of entanglement in "hybrid" nonunitary circuits (for example, involving both unitary gates and quantum measurements) has recently become an object of intense study. a major hurdle toward experimentally realizing this physics is the need to apply postselection on random measurement outcomes in order to repe...
postselection-free entanglement dynamics via spacetime duality
we revisit the η -pairing states in hubbard models and explore their connections to quantum many-body scars to discover a universal scars mechanism. η -pairing occurs due to an algebraic structure known as a spectrum generating algebra (sga), giving rise to equally spaced towers of eigenstates in the spectrum. we gener...
η -pairing in hubbard models: from spectrum generating algebras to quantum many-body scars
quantum matter, the research field studying phases of matter whose properties are intrinsically quantum mechanical, draws from areas as diverse as hard condensed matter physics, materials science, statistical mechanics, quantum information, quantum gravity, and large-scale numerical simulations. recently, researchers i...
machine learning for quantum matter
einstein-podolsky-rosen steering incarnates a useful nonclassical correlation which sits between entanglement and bell nonlocality. while a number of qualitative steering criteria exist, very little has been achieved for what concerns quantifying steerability. we introduce a computable measure of steering for arbitrary...
quantification of gaussian quantum steering
universality is a powerful concept, which enables making qualitative and quantitative predictions in systems with extensively many degrees of freedom. it finds realizations in almost all branches of physics, including in the realm of nonequilibrium systems. our focus here is on its manifestations within a specific clas...
universality in driven open quantum matter
phase spaces as given by the wigner distribution function provide a natural description of infinite-dimensional quantum systems. they are an important tool in quantum optics and have been widely applied in the context of time–frequency analysis and pseudo-differential operators. phase-space distribution functions are u...
phase spaces, parity operators, and the born–jordan distribution
the central technological appeal of quantum science resides in exploiting quantum effects, such as entanglement, for a variety of applications, including computing, communication and sensing1. the overarching challenge in these fields is to address, control and protect systems of many qubits against decoherence2. again...
efficient generation of entangled multiphoton graph states from a single atom
in semi-classical systems, the exponential growth of the out-of-time-order correlator (otoc) is believed to be the hallmark of quantum chaos. however, on several occasions, it has been argued that, even in integrable systems, otoc can grow exponentially due to the presence of unstable saddle points in the phase space. ...
krylov complexity in saddle-dominated scrambling
magic describes the distance of a quantum state to its closest stabilizer state. it is -- like entanglement -- a necessary resource for a potential quantum advantage over classical computing. we study magic, quantified by stabilizer entropy, in a hybrid quantum circuit with projective measurements and a controlled inje...
entanglement-magic separation in hybrid quantum circuits
many-body localization provides a generic mechanism of ergodicity breaking in quantum systems. in contrast to conventional ergodic systems, many-body-localized (mbl) systems are characterized by extensively many local integrals of motion (liom), which underlie the absence of transport and thermalization in these system...
constructing local integrals of motion in the many-body localized phase
machine learning (ml) is transforming all areas of science. the complex and time-consuming calculations in molecular simulations are particularly suitable for an ml revolution and have already been profoundly affected by the application of existing ml methods. here we review recent ml methods for molecular simulation, ...
machine learning for molecular simulation
we consider the class of dual-unitary quantum circuits in 1 +1 dimensions and introduce a notion of "solvable" matrix product states (mpss), defined by a specific condition which allows us to tackle their time evolution analytically. we provide a classification of the latter, showing that they include certain mpss of a...
exact dynamics in dual-unitary quantum circuits
we derive field theory descriptions for measurement-induced phase transitions in free fermion systems. we focus on a multiflavor majorana chain, undergoing hamiltonian evolution with continuous monitoring of local fermion parity operators. using the replica trick, we map the dynamics to the imaginary time evolution of ...
nonlinear sigma models for monitored dynamics of free fermions
investigating the role of causal order in quantum mechanics has recently revealed that the causal distribution of events may not be a-priori well-defined in quantum theory. while this has triggered a growing interest on the theoretical side, creating processes without a causal order is an experimental task. here we rep...
experimental verification of an indefinite causal order
we define a new complex-valued measure of information called the timelike entanglement entropy (ee) which in the boundary theory can be viewed as a wick rotation that changes a spacelike boundary subregion to a timelike one. an explicit definition of the timelike ee in 2d field theories is provided followed by numerica...
timelike entanglement entropy
we construct a set of exact, highly excited eigenstates for a nonintegrable spin-1/2 model in one dimension that is relevant to experiments on rydberg atoms in the antiblockade regime. these states provide a new solvable example of quantum many-body scars: their sub-volume-law entanglement and equal energy spacing allo...
quantum many-body scar states with emergent kinetic constraints and finite-entanglement revivals
we introduce and study the task of assisted coherence distillation. this task arises naturally in bipartite systems where both parties work together to generate the maximal possible coherence on one of the subsystems. only incoherent operations are allowed on the target system, while general local quantum operations ar...
assisted distillation of quantum coherence
we construct (2+1)-dimensional lattice systems, which we call fusion surface models. these models have finite non-invertible symmetries described by general fusion 2-categories. our method can be applied to build microscopic models with, for example, anomalous or non-anomalous one-form symmetries, 2-group symmetries, o...
fusion surface models: 2+1d lattice models from fusion 2-categories
the second law of thermodynamics places a limitation into which states a system can evolve into. for systems in contact with a heat bath, it can be combined with the law of energy conservation, and it says that a system can only evolve into another if the free energy goes down. recently, it's been shown that there are ...
limitations on the evolution of quantum coherences: towards fully quantum second laws of thermodynamics
we address the nature of spin transport in the integrable x x z spin chain, focusing on the isotropic heisenberg limit. we calculate the diffusion constant using a kinetic picture based on generalized hydrodynamics combined with gaussian fluctuations: we find that it diverges, and show that a self-consistent treatment ...
kinetic theory of spin diffusion and superdiffusion in x x z spin chains
understanding the behaviour of isolated quantum systems far from equilibrium and their equilibration is one of the most pressing problems in quantum many-body physics1,2. there is strong theoretical evidence that sufficiently far from equilibrium a wide variety of systems—including the early universe after inflation3-6...
universal dynamics in an isolated one-dimensional bose gas far from equilibrium
following the emergence of many novel two-dimensional (2d) materials beyond graphene, interest has grown in exploring implications for fundamental physics and practical applications ranging from electronics, photonics, and phononics to thermal management and energy storage. in this colloquium, a summary and comparison ...
colloquium: phononic thermal properties of two-dimensional materials
the transition from a many-body localized phase to a thermalizing one is a dynamical quantum phase transition that lies outside the framework of equilibrium statistical mechanics. we provide a detailed study of the critical properties of this transition at finite sizes in one dimension. we find that the entanglement en...
critical properties of the many-body localization transition
the presence of quantum scars, athermal eigenstates of a many-body hamiltonian with finite-energy density, leads to an absence of ergodicity and long-time coherent dynamics starting from initial states that have a high overlap with scars as experimentally observed in a chain of ultracold rydberg atoms. we show, via stu...
collapse and revival of quantum many-body scars via floquet engineering
we show that the equations of generalized hydrodynamics (ghd), a hydrodynamic theory for integrable quantum systems at the euler scale, emerge in full generality in a family of classical gases, which generalize the gas of hard rods. in this family, the particles, upon colliding, jump forward or backward by a distance t...
soliton gases and generalized hydrodynamics
generalized hydrodynamics predicts universal ballistic transport in integrable lattice systems when prepared in generic inhomogeneous initial states. however, the ballistic contribution to transport can vanish in systems with additional discrete symmetries. here we perform large scale numerical simulations of spin dyna...
spin diffusion from an inhomogeneous quench in an integrable system
short hydrogen bonds (shbs), whose donor and acceptor heteroatoms lie within 2.7 å, exhibit prominent quantum mechanical characters and are connected to a wide range of essential biomolecular processes. however, exact determination of the geometry and functional roles of shbs requires a protein to be at atomic resoluti...
effective prediction of short hydrogen bonds in proteins via machine learning method
recent advances in photonic integrated circuits have enabled a new generation of programmable mach-zehnder meshes (mzms) realized by using cascaded mach-zehnder interferometers capable of universal linear-optical transformations on n input/output optical modes. mzms serve critical functions in photonic quantum informat...
high-speed programmable photonic circuits in a cryogenically compatible, visible-near-infrared 200 mm cmos architecture
changes and additions to the new edition of this classic textbook include: new chapter on symmetries, new problems and examples, improved explanations, more numerical problems to be worked on a computer, new applications to solid state physics, consolidated treatment of time-dependent potentials.
introduction to quantum mechanics
understanding magnetic phases in quantum mechanical systems is one of the essential goals in condensed matter physics, and the advent of prototype quantum simulation hardware has provided new tools for experimentally probing such systems. we report on the experimental realization of a quantum simulation of interacting ...
phase transitions in a programmable quantum spin glass simulator
quantum mechanics sets a limit for the precision of continuous measurement of the position of an oscillator. we show how it is possible to measure an oscillator without quantum back-action of the measurement by constructing one effective oscillator from two physical oscillators. we realize such a quantum mechanics-free...
quantum mechanics-free subsystem with mechanical oscillators
we propose how to achieve nonreciprocal quantum entanglement of light and motion and reveal its counterintuitive robustness against random losses. we find that by splitting the counterpropagating lights of a spinning resonator via the sagnac effect, photons and phonons can be entangled strongly in a chosen direction bu...
nonreciprocal optomechanical entanglement against backscattering losses
we evaluate the finite temperature partition sum and correlation functions of the sachdev-ye-kitaev (syk) model. starting from a recently proposed mapping of the syk model onto liouville quantum mechanics, we obtain our results by exact integration over conformal goldstone modes reparameterizing physical time. perhaps,...
power-law out of time order correlation functions in the syk model
we study the operator growth in open quantum systems with dephasing dissipation terms, extending the krylov complexity formalism of [1]. our results are based on the study of the dissipative q-body sachdev-ye-kitaev (sykq) model, governed by the markovian dynamics. we introduce a notion of "operator size concentration"...
operator growth in open quantum systems: lessons from the dissipative syk
scalable generation of genuine multipartite entanglement with an increasing number of qubits is important for both fundamental interest and practical use in quantum-information technologies1,2. on the one hand, multipartite entanglement shows a strong contradiction between the prediction of quantum mechanics and local ...
generation of genuine entanglement up to 51 superconducting qubits
we study the problem of charging a quantum battery in finite time. we demonstrate an analytical optimal protocol for the case of a single qubit. extending this analysis to an array of n qubits, we demonstrate that an n-fold advantage in power per qubit can be achieved when global operations are permitted. the exemplary...
quantacell: powerful charging of quantum batteries
the many-body problem is ubiquitous in the theoretical description of physical phenomena, ranging from the behaviour of elementary particles to the physics of electrons in solids. most of our understanding of many-body systems comes from analysing the symmetric properties of hamiltonian and states: the most striking ex...
lattice gauge theory simulations in the quantum information era
we discuss a supersymmetric generalization of the sachdev-ye-kitaev model. these are quantum mechanical models involving $n$ majorana fermions. the supercharge is given by a polynomial expression in terms of the majorana fermions with random coefficients. the hamiltonian is the square of the supercharge. the ${\cal n}=...
publisher's note: supersymmetric sachdev-ye-kitaev models [phys. rev. d 95, 026009 (2017)]
we propose a multiscale diagonalization scheme to study disordered one-dimensional chains, in particular, the transition between many-body localization (mbl) and the ergodic phase, expected to be governed by resonant spots. our scheme focuses on the dichotomy of mbl versus validity of the eigenstate thermalization hypo...
many-body delocalization as a quantum avalanche
since its inception about two centuries ago thermodynamics has sparkled continuous interest and fundamental questions. according to the second law no heat engine can have an efficiency larger than carnot's efficiency. the latter can be achieved by the carnot engine, which however ideally operates in infinite time, henc...
the power of a critical heat engine
the exponential growth of the out-of-time-ordered correlator (otoc) has been proposed as a quantum signature of classical chaos. the growth rate is expected to coincide with the classical lyapunov exponent. this quantum-classical correspondence has been corroborated for the kicked rotor and the stadium billiard, which ...
quantum and classical lyapunov exponents in atom-field interaction systems
in quantum shannon theory, the way information is encoded and decoded takes advantage of the laws of quantum mechanics, while the way communication channels are interlinked is assumed to be classical. in this letter, we relax the assumption that quantum channels are combined classically, showing that a quantum communic...
enhanced communication with the assistance of indefinite causal order
we present a scheme to entangle two magnon modes in a cavity magnomechanical system. the two magnon modes are embodied by collective motions of a large number of spins in two macroscopic ferrimagnets, and couple to a single microwave cavity mode via magnetic dipole interaction. we show that by activating the nonlinear ...
entangling two magnon modes via magnetostrictive interaction
optomechanical cavity cooling of levitated objects offers the possibility for laboratory investigation of the macroscopic quantum behavior of systems that are largely decoupled from their environment. however, experimental progress has been hindered by particle loss mechanisms, which have prevented levitation and cavit...
cavity cooling a single charged levitated nanosphere