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hyperuniform states of matter are correlated systems that are characterized by an anomalous suppression of long-wavelength (i.e., large-length-scale) density fluctuations compared to those found in garden-variety disordered systems, such as ordinary fluids and amorphous solids. all perfect crystals, perfect quasicrysta...
hyperuniform states of matter
we introduce new classes of hydrodynamic theories inspired by the recently discovered fracton phases of quantum matter. fracton phases are characterized by elementary excitations (fractons) with restricted mobility. the hydrodynamic theories we introduce describe thermalization in systems with fractonlike mobility cons...
fracton hydrodynamics
the most general and versatile defining feature of quantum chaotic systems is that they possess an energy spectrum with correlations universally described by random matrix theory (rmt). this feature can be exhibited by systems with a well-defined classical limit as well as by systems with no classical correspondence, s...
exact spectral form factor in a minimal model of many-body quantum chaos
we establish some general dynamical properties of quantum many-body systems that are subject to a high-frequency periodic driving. we prove that such systems have a quasiconserved extensive quantity h*, which plays the role of an effective static hamiltonian. the dynamics of the system (e.g., evolution of any local obs...
effective hamiltonians, prethermalization, and slow energy absorption in periodically driven many-body systems
in the presence of sufficiently strong disorder or quasiperiodic fields, an interacting many-body system can fail to thermalize and become many-body localized. the associated transition is of particular interest, since it occurs not only in the ground state but over an extended range of energy densities. so far, theore...
observation of slow dynamics near the many-body localization transition in one-dimensional quasiperiodic systems
the computation of observables in general interacting theories, be them quantum mechanical, field, gauge or string theories, is a non-trivial problem which in many cases can only be addressed by resorting to perturbative methods. in most physically interesting problems these perturbative expansions result in asymptotic...
a primer on resurgent transseries and their asymptotics
the ab initio computational treatment of electrochemical systems requires an appropriate treatment of the solid/liquid interfaces. a fully quantum mechanical treatment of the interface is computationally demanding due to the large number of degrees of freedom involved. in this work, we develop a computationally efficie...
implicit self-consistent electrolyte model in plane-wave density-functional theory
quantum information theory is built upon the realisation that quantum resources like coherence and entanglement can be exploited for novel or enhanced ways of transmitting and manipulating information, such as quantum cryptography, teleportation, and quantum computing. we now know that there is potentially much more th...
measures and applications of quantum correlations
we propose and analyze a new approach based on parity-time (pt ) symmetric microcavities with balanced gain and loss to enhance the performance of cavity-assisted metrology. we identify the conditions under which pt -symmetric microcavities allow us to improve sensitivity beyond what is achievable in loss-only systems....
metrology with pt -symmetric cavities: enhanced sensitivity near the pt -phase transition
we discuss a method of numerically identifying exact energy eigenstates for a finite system, whose form can then be obtained analytically. we demonstrate our method by identifying and deriving exact analytic expressions for several excited states, including an infinite tower, of the one-dimensional spin-1 affleck-kenne...
exact excited states of nonintegrable models
full control over the dynamics of interacting, indistinguishable quantum particles is an important prerequisite for the experimental study of strongly correlated quantum matter and the implementation of high-fidelity quantum information processing. we demonstrate such control over the quantum walk—the quantum mechanica...
strongly correlated quantum walks in optical lattices
can collective quantum effects make a difference in a meaningful thermodynamic operation? focusing on energy storage and batteries, we demonstrate that quantum mechanics can lead to an enhancement in the amount of work deposited per unit time, i.e., the charging power, when n batteries are charged collectively. we firs...
enhancing the charging power of quantum batteries
we analyze under which dynamical conditions the coherence of an open quantum system is totally unaffected by noise. for a single qubit, specific measures of coherence are found to freeze under different conditions, with no general agreement between them. conversely, for an n -qubit system with even n , we identify univ...
frozen quantum coherence
quantum transduction, the process of converting quantum signals from one form of energy to another, is an important area of quantum science and technology. the present perspective article reviews quantum transduction between microwave and optical photons, an area that has recently seen a lot of activity and progress be...
perspectives on quantum transduction
we show that weak measurements can induce a quantum phase transition of interacting many-body systems from an ergodic thermal phase with a large entropy to a nonergodic localized phase with a small entropy, but only if the measurement strength exceeds a critical value. we demonstrate this effect for a one-dimensional q...
entanglement transition from variable-strength weak measurements
in analogy with crystalline solids around us, wilczek recently proposed the idea of "time crystals" as phases that spontaneously break the continuous time translation into a discrete subgroup. the proposal stimulated further studies and vigorous debates whether it can be realized in a physical system. however, a precis...
absence of quantum time crystals
the ability to prepare a physical system in a desired quantum state is central to many areas of physics such as nuclear magnetic resonance, cold atoms, and quantum computing. yet, preparing states quickly and with high fidelity remains a formidable challenge. in this work, we implement cutting-edge reinforcement learni...
reinforcement learning in different phases of quantum control
in the past decade, the concept of parity-time (pt) symmetry, originally introduced in non-hermitian extensions of quantum mechanical theories, has come into thinking of photonics, providing a fertile ground for studying, observing, and utilizing some of the peculiar aspects of pt symmetry in optics. together with rela...
parity-time symmetry meets photonics: a new twist in non-hermitian optics
we study stabilizer quantum error correcting codes (qecc) generated under hybrid dynamics of local clifford unitaries and local pauli measurements in one dimension. building upon (1) a general formula relating the error susceptibility of a subregion to its entanglement properties, and (2) a previously established mappi...
statistical mechanics of quantum error correcting codes
in this work we introduce boundary time crystals. here continuous time-translation symmetry breaking occurs only in a macroscopic fraction of a many-body quantum system. after introducing their definition and properties, we analyze in detail a solvable model where an accurate scaling analysis can be performed. the exis...
boundary time crystals
the technological world is in the midst of a quantum computing and quantum information revolution. since richard feynman's famous `plenty of room at the bottom' lecture (feynman, engineering and science23, 22 (1960)), hinting at the notion of novel devices employing quantum mechanics, the quantum information community ...
building logical qubits in a superconducting quantum computing system
we map the dynamics of entanglement in random unitary circuits, with finite onsite hilbert space dimension q , to an effective classical statistical mechanics, and develop general diagrammatic tools for calculations in random unitary circuits. we demonstrate explicitly the emergence of a "minimal membrane" governing en...
emergent statistical mechanics of entanglement in random unitary circuits
quantum circuits consisting of random unitary gates and subject to local measurements have been shown to undergo a phase transition, tuned by the rate of measurement, from a state with volume-law entanglement to an area-law state. from a broader perspective, these circuits generate a novel ensemble of quantum many-body...
symmetry enriched phases of quantum circuits
designing materials with advanced functionalities is the main focus of contemporary solid-state physics and chemistry. research efforts worldwide are funneled into a few high-end goals, one of the oldest, and most fascinating of which is the search for an ambient temperature superconductor (a-sc). the reason is clear: ...
the 2021 room-temperature superconductivity roadmap
thermodynamics originated in the need to understand novel technologies developed by the industrial revolution. however, over the centuries, the description of engines, refrigerators, thermal accelerators, and heaters has become so abstract that a direct application of the universal statements to real-life devices is ev...
quantum thermodynamic devices: from theoretical proposals to experimental reality
we study dynamics of isolated quantum many-body systems whose hamiltonian is switched between two different operators periodically in time. the eigenvalue problem of the associated floquet operator maps onto an effective hopping problem. using the effective model, we establish conditions on the spectral properties of t...
periodically driven ergodic and many-body localized quantum systems
in this review we look at the concepts and state-of-the-art concerning the strong coupling of surface plasmon-polariton modes to states associated with quantum emitters such as excitons in j-aggregates, dye molecules and quantum dots. we explore the phenomenon of strong coupling with reference to a number of examples i...
strong coupling between surface plasmon polaritons and emitters: a review
we experimentally study many-body localization (mbl) with ultracold atoms in a weak one-dimensional quasiperiodic potential, which in the noninteracting limit exhibits an intermediate phase that is characterized by a mobility edge. we measure the time evolution of an initial charge density wave after a quench and analy...
observation of many-body localization in a one-dimensional system with a single-particle mobility edge
levitated optomechanics has great potential in precision measurements, thermodynamics, macroscopic quantum mechanics, and quantum sensing. here we synthesize and optically levitate silica nanodumbbells in high vacuum. with a linearly polarized laser, we observe the torsional vibration of an optically levitated nanodumb...
optically levitated nanodumbbell torsion balance and ghz nanomechanical rotor
a pair of conjugate observables, such as the quadrature amplitudes of harmonic motion, have fundamental fluctuations that are bound by the heisenberg uncertainty relation. however, in a squeezed quantum state, fluctuations of a quantity can be reduced below the standard quantum limit, at the cost of increased fluctuati...
squeezing of quantum noise of motion in a micromechanical resonator
recently, it has been found that jackiw-teitelboim (jt) gravity, which is a two-dimensional theory with bulk action -1 / 2 ∫d2x √{g }ϕ (r +2 ), is dual to a matrix model, that is, a random ensemble of quantum systems rather than a specific quantum mechanical system. in this article, we argue that a deformation of jt gr...
matrix models and deformations of jt gravity
over the last few years, extraordinary advances in experimental and theoretical tools have allowed us to monitor and control matter at short time and atomic scales with a high degree of precision. an appealing and challenging route toward engineering materials with tailored properties is to find ways to design or selec...
octopus, a computational framework for exploring light-driven phenomena and quantum dynamics in extended and finite systems
a discrete time crystal (dtc) is a robust phase of driven systems that breaks the discrete time translation symmetry of the driving hamiltonian. recent experiments have observed dtc signatures in two distinct systems. here we show nuclear magnetic resonance observations of dtc signatures in a third, strikingly differen...
observation of discrete-time-crystal signatures in an ordered dipolar many-body system
the eigenstate thermalization hypothesis (eth) posits that the reduced density matrix for a subsystem corresponding to an excited eigenstate is "thermal." here we expound on this hypothesis by asking: for which class of operators, local or nonlocal, is eth satisfied? we show that this question is directly related to a ...
does a single eigenstate encode the full hamiltonian?
the work of berezinskii, kosterlitz and thouless in the 1970s1,2 revealed exotic phases of matter governed by the topological properties of low-dimensional materials such as thin films of superfluids and superconductors. a hallmark of this phenomenon is the appearance and interaction of vortices and antivortices in an ...
observation of topological phenomena in a programmable lattice of 1,800 qubits
current x-ray imaging technologies involving flat-panel detectors have difficulty in imaging three-dimensional objects because fabrication of large-area, flexible, silicon-based photodetectors on highly curved surfaces remains a challenge1-3. here we demonstrate ultralong-lived x-ray trapping for flat-panel-free, high-...
high-resolution x-ray luminescence extension imaging
we introduce topological invariants for gapless systems and study the associated boundary phenomena. more generally, the symmetry properties of the low-energy conformal field theory (cft) provide discrete invariants establishing the notion of symmetry-enriched quantum criticality. the charges of nonlocal scaling operat...
gapless topological phases and symmetry-enriched quantum criticality
the absorption of electromagnetic energy by a material is a phenomenon that underlies many applications, including molecular sensing, photocurrent generation and photodetection. typically, the incident energy is delivered to the system through a single channel, for example, by a plane wave incident on one side of an ab...
coherent perfect absorbers: linear control of light with light
repeated local measurements of quantum many-body systems can induce a phase transition in their entanglement structure. these measurement-induced phase transitions (mipts) have been studied for various types of dynamics, yet most cases yield quantitatively similar critical exponents, making it unclear how many distinct...
operator scaling dimensions and multifractality at measurement-induced transitions
ferromagnets are key materials for sensing and memory applications. in contrast, antiferromagnets, which represent the more common form of magnetically ordered materials, have found less practical application beyond their use for establishing reference magnetic orientations via exchange bias. this might change in the f...
spin transport and spin torque in antiferromagnetic devices
in this paper we first compute the out-of-time-order correlators (otoc) for both a phenomenological model and a random-field xxz model in the many-body localized phase. we show that the otoc decreases in power law in a many-body localized system at the scrambling time. we also find that the otoc can also be used to dis...
out-of-time-order correlation for many-body localization
we discuss the universal nature of relaxation in isolated many-body quantum systems subjected to global and strong periodic driving. our rigorous floquet analysis shows that the energy of the system remains almost constant up to an exponentially long time in frequency for arbitrary initial states and that an effective ...
rigorous bound on energy absorption and generic relaxation in periodically driven quantum systems
quantum key distribution (qkd) aims to generate secure private keys shared by two remote parties. with its security being protected by principles of quantum mechanics, some technology challenges remain towards practical application of qkd. the major one is the distance limit, which is caused by the fact that a quantum ...
experimental twin-field quantum key distribution over 1000 km fiber distance
mrcc is a package of ab initio and density functional quantum chemistry programs for accurate electronic structure calculations. the suite has efficient implementations of both low- and high-level correlation methods, such as second-order møller-plesset (mp2), random-phase approximation (rpa), second-order algebraic-di...
the mrcc program system: accurate quantum chemistry from water to proteins
we study the phenomenon of hilbert space fragmentation in isolated hamiltonian and floquet quantum systems using the language of commutant algebras, the algebra of all operators that commute with each local term that appears in the hamiltonian or each local gate of the circuit. we provide a precise definition of hilber...
hilbert space fragmentation and commutant algebras
structurally disordered materials pose fundamental questions1-4, including how different disordered phases (`polyamorphs') can coexist and transform from one phase to another5-9. amorphous silicon has been extensively studied; it forms a fourfold-coordinated, covalent network at ambient conditions and much-higher-coord...
origins of structural and electronic transitions in disordered silicon
in a periodically driven (floquet) system, there is the possibility for new phases of matter, not present in stationary systems, protected by discrete time-translation symmetry. this includes topological phases protected in part by time-translation symmetry, as well as phases distinguished by the spontaneous breaking o...
prethermal phases of matter protected by time-translation symmetry
periodically driven quantum many-body systems can display rich dynamics and host exotic phases that are absent in their undriven counterparts. however, in the presence of interactions such systems are expected to eventually heat up to a simple infinite-temperature state. one possible exception is a periodically driven ...
periodically driving a many-body localized quantum system
the curse of dimensionality associated with the hilbert space of spin systems provides a significant obstruction to the study of condensed matter systems. tensor networks have proven an important tool in attempting to overcome this difficulty in both the numerical and analytic regimes. these notes form the basis for a ...
hand-waving and interpretive dance: an introductory course on tensor networks
in order to model realistic quantum devices it is necessary to simulate quantum systems strongly coupled to their environment. to date, most understanding of open quantum systems is restricted either to weak system-bath couplings or to special cases where specific numerical techniques become effective. here we present ...
efficient non-markovian quantum dynamics using time-evolving matrix product operators
we show that the proper inclusion of soft reparameterization modes in the sachdev-ye-kitaev model of n randomly interacting majorana fermions reduces its long-time behavior to that of liouville quantum mechanics. as a result, all zero temperature correlation functions decay with the universal exponent ∝τ - 3 / 2 for ti...
sachdev-ye-kitaev model as liouville quantum mechanics
we review the imaginary time path integral approach to the quench dynamics of conformal field theories. we show how this technique can be applied to the determination of the time dependence of correlation functions and entanglement entropy for both global and local quenches. we also briefly review other quench protocol...
quantum quenches in 1\u2009\u2009+\u2009\u20091 dimensional conformal field theories
a wave function subject to unitary time evolution and exposed to measurements undergoes pure state dynamics, with deterministic unitary and probabilistic measurement-induced state updates, defining a quantum trajectory. for many-particle systems, the competition of these different elements of dynamics can give rise to ...
effective theory for the measurement-induced phase transition of dirac fermions
optimizing parameterized quantum circuits (pqcs) is the leading approach to make use of near-term quantum computers. however, very little is known about the cost function landscape for pqcs, which hinders progress towards quantum-aware optimizers. in this work, we investigate the connection between three different land...
equivalence of quantum barren plateaus to cost concentration and narrow gorges
a single-particle mobility edge (spme) marks a critical energy separating extended from localized states in a quantum system. in one-dimensional systems with uncorrelated disorder, a spme cannot exist, since all single-particle states localize for arbitrarily weak disorder strengths. however, in a quasiperiodic system,...
single-particle mobility edge in a one-dimensional quasiperiodic optical lattice
we investigate entanglement phase transitions from volume-law to area-law entanglement in a quantum many-body state under continuous position measurement on the basis of the quantum trajectory approach. we find the signatures of the transitions as peak structures in the mutual information as a function of measurement s...
measurement-induced quantum criticality under continuous monitoring
quantum heat engines (qhe) are thermal machines where the working substance is a quantum object. in the extreme case, the working medium can be a single particle or a few-level quantum system. the study of qhe has shown a remarkable similarity with macroscopic thermodynamical results, thus raising the issue of what is ...
equivalence of quantum heat machines, and quantum-thermodynamic signatures
these notes are from courses given at tasi and the advanced strings school in summer 2015. starting from principles of quantum field theory and the assumption of a traceless stress tensor, we develop the basics of conformal field theory, including conformal ward identities, radial quantization, reflection positivity, t...
tasi lectures on the conformal bootstrap
we introduce a coarse-graining transformation for tensor networks that can be applied to study both the partition function of a classical statistical system and the euclidean path integral of a quantum many-body system. the scheme is based upon the insertion of optimized unitary and isometric tensors (disentanglers and...
tensor network renormalization
we consider quantum many-body dynamics under quantum measurements, where the measurement-induced phase transitions (mips) occur when changing the frequency of the measurement. in this work, we consider the robustness of the mip for long-range interaction that decays as r-α with distance r . the effects of long-range in...
fate of measurement-induced phase transition in long-range interactions
nonreciprocal microwave devices are ubiquitous in radar and radio communication and indispensable in the readout chains of superconducting quantum circuits. since they commonly rely on ferrite materials requiring large magnetic fields that make them bulky and lossy, there has been significant interest in magnetic-field...
nonreciprocal reconfigurable microwave optomechanical circuit
efficient interconversion of both classical and quantum information between microwave and optical frequency is an important engineering challenge. the optomechanical approach with gigahertz-frequency mechanical devices has the potential to be extremely efficient due to the large optomechanical response of common materi...
efficient bidirectional piezo-optomechanical transduction between microwave and optical frequency
we show that hydrodynamic diffusion is generically present in many-body, one-dimensional interacting quantum and classical integrable models. we extend the recently developed generalized hydrodynamic (ghd) to include terms of navier-stokes type, which leads to positive entropy production and diffusive relaxation mechan...
hydrodynamic diffusion in integrable systems
we review recent work on the foundations of thermodynamics in the light of quantum information theory. we adopt a resource-theoretic perspective, wherein thermodynamics is formulated as a theory of what agents can achieve under a particular restriction, namely, that the only state preparations and transformations that ...
the resource theory of informational nonequilibrium in thermodynamics
quantum mechanics is compatible with scenarios where the relative order between two events can be indefinite. here we show that two independent instances of a noisy process can behave as a perfect quantum communication channel when used in a coherent superposition of two alternative orders. this phenomenon occurs even ...
indefinite causal order enables perfect quantum communication with zero capacity channels
motivated by recent studies of fractons, we demonstrate that elasticity theory of a two-dimensional quantum crystal is dual to a fracton tensor gauge theory, providing a concrete manifestation of the fracton phenomenon in an ordinary solid. the topological defects of elasticity theory map onto charges of the tensor gau...
fracton-elasticity duality
the first law of thermodynamics imposes not just a constraint on the energy content of systems in extreme quantum regimes but also symmetry constraints related to the thermodynamic processing of quantum coherence. we show that this thermodynamic symmetry decomposes any quantum state into mode operators that quantify th...
quantum coherence, time-translation symmetry, and thermodynamics
we address the hydrodynamics of operator spreading in interacting integrable lattice models. in these models, operators spread through the ballistic propagation of quasiparticles, with an operator front whose velocity is locally set by the fastest quasiparticle velocity. in interacting integrable systems, this velocity...
hydrodynamics of operator spreading and quasiparticle diffusion in interacting integrable systems
time evolution of quantum many-body systems typically leads to a state with maximal entanglement allowed by symmetries. two distinct routes to impede entanglement growth are inducing localization via spatial disorder, or subjecting the system to nonunitary evolution, e.g., via projective measurements. here we employ th...
spacetime duality between localization transitions and measurement-induced transitions
we consider a class of quantum lattice models in 1 +1 dimensions represented as local quantum circuits that enjoy a particular dual-unitarity property. in essence, this property ensures that both the evolution in time and that in space are given in terms of unitary transfer matrices. we show that for this class of circ...
exact correlation functions for dual-unitary lattice models in 1 +1 dimensions
quantum sensors are an established technology that has created new opportunities for precision sensing across the breadth of science. using entanglement for quantum enhancement will allow us to construct the next generation of sensors that can approach the fundamental limits of precision allowed by quantum physics. how...
optimal metrology with programmable quantum sensors
we study time dynamics of 1d disordered heisenberg spin-1/2 chains focusing on a regime of large system sizes and a long-time evolution. this regime is relevant for observation of many-body localization (mbl), a phenomenon that is expected to freeze the dynamics of the system and prevent it from reaching thermal equili...
challenges to observation of many-body localization
quantum-critical strongly correlated electron systems are predicted to feature universal collision-dominated transport resembling that of viscous fluids. however, investigation of these phenomena has been hampered by the lack of known macroscopic signatures of electron viscosity. here we identify vorticity as such a si...
electron viscosity, current vortices and negative nonlocal resistance in graphene
the physical description of all materials is rooted in quantum mechanics, which describes how atoms bond and electrons interact at a fundamental level. although these quantum effects can in many cases be approximated by a classical description at the macroscopic level, in recent years there has been growing interest in...
the physics of quantum materials
synthetic non-conservative systems with parity-time (pt) symmetric gain-loss structures can exhibit unusual spontaneous symmetry breaking that accompanies spectral singularity. recent studies on pt symmetry in optics and weakly interacting open quantum systems have revealed intriguing physical properties, yet many-body...
parity-time-symmetric quantum critical phenomena
the kagome heisenberg antiferromagnet is a leading candidate in the search for a spin system with a quantum spin-liquid ground state. the nature of its ground state remains a matter of active debate. we conducted oxygen-17 single-crystal nuclear magnetic resonance (nmr) measurements of the spin-1/2 kagome lattice in he...
evidence for a gapped spin-liquid ground state in a kagome heisenberg antiferromagnet
we propose a general method to embed target states into the middle of the energy spectrum of a many-body hamiltonian as its energy eigenstates. employing this method, we construct a translationally invariant local hamiltonian with no local conserved quantities, which does not satisfy the eigenstate thermalization hypot...
systematic construction of counterexamples to the eigenstate thermalization hypothesis
inspired by the success of boltzmann machines based on classical boltzmann distribution, we propose a new machine-learning approach based on quantum boltzmann distribution of a quantum hamiltonian. because of the noncommutative nature of quantum mechanics, the training process of the quantum boltzmann machine (qbm) can...
quantum boltzmann machine
we put forward a phenomenological theory for entanglement dynamics in monitored quantum many-body systems with well-defined quasiparticles. within this theory entanglement is carried by ballistically propagating non-hermitian quasiparticles which are stochastically reset by the measurement protocol with a rate given by...
entanglement transitions from stochastic resetting of non-hermitian quasiparticles
quantum states of mechanical motion can be important resources for quantum information, metrology and studies of fundamental physics. recent demonstrations of superconducting qubits coupled to acoustic resonators have opened up the possibility of performing quantum operations on macroscale motional modes1-3, which can ...
creation and control of multi-phonon fock states in a bulk acoustic-wave resonator
we discuss walking behavior in gauge theories and weak first-order phase transitions in statistical physics. despite appearing in very different systems (qcd below the conformal window, the potts model, deconfined criticality) these two phenomena both imply approximate scale invariance in a range of energies and have t...
walking, weak first-order transitions, and complex cfts
complex optical photon states with entanglement shared among several modes are critical to improving our fundamental understanding of quantum mechanics and have applications for quantum information processing, imaging, and microscopy. we demonstrate that optical integrated kerr frequency combs can be used to generate s...
generation of multiphoton entangled quantum states by means of integrated frequency combs
we expand the standard thermodynamic framework of a system coupled to a thermal reservoir by considering a stream of independently prepared units repeatedly put into contact with the system. these units can be in any nonequilibrium state and interact with the system with an arbitrary strength and duration. we show that...
quantum and information thermodynamics: a unifying framework based on repeated interactions
using the second law of local thermodynamics and the first-order palatini formalism, we formulate relativistic spin hydrodynamics for quantum field theories with dirac fermions, such as qed and qcd, in a torsionful curved background. we work in a regime where spin density, which is assumed to relax much slower than oth...
relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
we introduce a new optimization procedure for euclidean path integrals, which compute wave functionals in conformal field theories (cfts). we optimize the background metric in the space on which the path integration is performed. equivalently, this is interpreted as a position-dependent uv cutoff. for two-dimensional c...
anti-de sitter space from optimization of path integrals in conformal field theories
the landau description of phase transitions relies on the identification of a local order parameter that indicates the onset of a symmetry-breaking phase. in contrast, topological phase transitions evade this paradigm and, as a result, are harder to identify. recently, machine learning techniques have been shown to be ...
identifying topological order through unsupervised machine learning
the production of pairs of entangled photons simply by focusing a laser beam onto a crystal with a nonlinear optical response was used to test quantum mechanics and to open new approaches in imaging. the development of the latter was enabled by the emergence of single-photon-sensitive cameras that are able to character...
imaging with quantum states of light
machine learning advances chemistry and materials science by enabling large-scale exploration of chemical space based on quantum chemical calculations. while these models supply fast and accurate predictions of atomistic chemical properties, they do not explicitly capture the electronic degrees of freedom of a molecule...
unifying machine learning and quantum chemistry with a deep neural network for molecular wavefunctions
we present a molecular dynamics scheme which combines first-principles and machine-learning (ml) techniques in a single information-efficient approach. forces on atoms are either predicted by bayesian inference or, if necessary, computed by on-the-fly quantum-mechanical (qm) calculations and added to a growing ml datab...
molecular dynamics with on-the-fly machine learning of quantum-mechanical forces
krylov complexity, or k-complexity for short, has recently emerged as a new probe of chaos in quantum systems. it is a measure of operator growth in krylov space, which conjecturally bounds the operator growth measured by the out of time ordered correlator (otoc). we study krylov complexity in conformal field theories ...
krylov complexity in conformal field theory
the study of open quantum systems often relies on approximate master equations derived under the assumptions of weak coupling to the environment. however when the system is made of several interacting subsystems such a derivation is in many cases very hard. an alternative method, employed especially in the modeling of ...
reconciliation of quantum local master equations with thermodynamics
the jarzynski equality relates the free-energy difference between two equilibrium states to the work done on a system through far-from-equilibrium processes--a milestone that builds on the pioneering work of clausius and kelvin. although experimental tests of the equality have been performed in the classical regime, th...
experimental test of the quantum jarzynski equality with a trapped-ion system
bistable mechanical vibration is observed in a cavity magnomechanical system, which consists of a microwave cavity mode, a magnon mode, and a mechanical vibration mode of a ferrimagnetic yttrium-iron-garnet sphere. the bistability manifests itself in both the mechanical frequency and linewidth under a strong microwave ...
mechanical bistability in kerr-modified cavity magnomechanics
quantum illumination is a quantum-optical sensing technique in which an entangled source is exploited to improve the detection of a low-reflectivity object that is immersed in a bright thermal background. here, we describe and analyze a system for applying this technique at microwave frequencies, a more appropriate spe...
microwave quantum illumination
the tunnelling of a particle through a potential barrier is a key feature of quantum mechanics that goes to the core of wave-particle duality. the phenomenon has no counterpart in classical physics, and there are no well constructed dynamical observables that could be used to determine `tunnelling times'. the resulting...
attosecond angular streaking and tunnelling time in atomic hydrogen
syngas, an extremely important chemical feedstock composed of carbon monoxide and hydrogen, can be generated through methane (ch4) dry reforming with co2. however, traditional thermocatalytic processes require high temperatures and suffer from coke-induced instability. here, we report a plasmonic photocatalyst consisti...
light-driven methane dry reforming with single atomic site antenna-reactor plasmonic photocatalysts
quantum emulators, owing to their large degree of tunability and control, allow the observation of fine aspects of closed quantum many-body systems, as either the regime where thermalization takes place or when it is halted by the presence of disorder. the latter, dubbed many-body localization (mbl) phenomenon, describ...
stark many-body localization on a superconducting quantum processor
quantum metrology provides a route to overcome practical limits in sensing devices. it holds particular relevance to biology, where sensitivity and resolution constraints restrict applications both in fundamental biophysics and in medicine. here, we review quantum metrology from this biological context, focusing on opt...
quantum metrology and its application in biology
we introduce a class of phase transitions separating quantum states with different entanglement features. an example of such an "entanglement phase transition" is provided by the many-body localization transition in disordered quantum systems, as it separates highly entangled thermal states at weak disorder from many-b...
entanglement transitions from holographic random tensor networks
quantum integrable systems, such as the interacting bose gas in one dimension and the xxz quantum spin chain, have an extensive number of local conserved quantities that endow them with exotic thermalization and transport properties. we discuss recently introduced hydrodynamic approaches for such integrable systems fro...
bethe-boltzmann hydrodynamics and spin transport in the xxz chain