Phase space representation of quantum dynamics

Abstract

We discuss a phase space representation of quantum dynamics of systems with many degrees of freedom. This representation is based on a perturbative expansion in quantum fluctuations around one of the classical limits. We explicitly analyze expansions around three such limits: (i) corpuscular or Newtonian limit in the coordinate-momentum representation, (ii) wave or Gross-Pitaevskii limit for interacting bosons in the coherent state representation, and (iii) Bloch limit for the spin systems. We discuss both the semiclassical (truncated Wigner) approximation and further quantum corrections appearing in the form of either stochastic quantum jumps along the classical trajectories or the nonlinear response to such jumps. We also discuss how quantum jumps naturally emerge in the analysis of non-equal time correlation functions. This representation of quantum dynamics is closely related to the phase space methods based on the Wigner-Weyl quantization and to the Keldysh technique. We show how such concepts as the Wigner function, Weyl symbol, Moyal product, Bopp operators, and others automatically emerge from the Feynmann's path integral representation of the evolution in the Heisenberg representation. We illustrate the applicability of this expansion with various examples mostly in the context of cold atom systems including sine-Gordon model, one- and two-dimensional Bose Hubbard model, Dicke model and others.

92 pages, typos corrected, published version

References in corpus (32)

• Many-Body Physics with Ultracold Gases
• Thermalization and its mechanism for generic isolated quantum systems
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• Breakdown of thermalization in finite one-dimensional systems
• Foundation of Statistical Mechanics under experimentally realistic conditions
• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• Bosonizing one-dimensional cold atomic gases
• Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
• Breakdown of the adiabatic limit in low dimensional gapless systems
• Nonequilibrium quantum criticality in open electronic systems
• Quantum critical states and phase transitions in the presence of non equilibrium noise
• Linear response theory for a pair of coupled one-dimensional condensates of interacting atoms
• Non-equilibrium Gross-Pitaevskii dynamics of boson lattice models
• Quantum corrections to the dynamics of interacting bosons: beyond the truncated Wigner approximation
• Nonequilibrium dynamics and thermodynamics of a degenerate Fermi gas across a Feshbach resonance
• Non-adiabacity and large flucutations in a many particle Landau Zener problem
• Intrinsic dephasing in one dimensional ultracold atom interferometers
• Quantum and thermal effects in dark soliton formation and dynamics in a 1D Bose gas
• Many body generalization of the Landau Zener problem
• Evolution of the macroscopically entangled states in optical lattices
• Effect of quantum fluctuations on the dipolar motion of Bose-Einstein condensates in optical lattices
• Adiabatic nonlinear probes of one-dimensional Bose gases
• Commuting Heisenberg operators as the quantum response problem: Time-normal averages in the truncated Wigner representation
• Dynamical thermalization and vortex formation in stirred 2D Bose-Einstein condensates
• Ultracold gases far from equilibrium
• Collapse and revivals of a the photon field in a many-body Landau-Zener process
• Breakdown of macroscopic quantum self-trapping in coupled mesoscopic one dimensional Bose gases
• A supercritical superfluid and vortex unbinding following a quantum quench
• Nonequilibrium-induced metal-superconductor quantum phase transition in graphene
• Quantum fluctuations and condensate fraction during the time-of-flight expansion
• Theory of domain formation in inhomogeneous ferromagnetic dipolar condensates

Cited by in corpus (422)

• Nonequilibrium dynamics of closed interacting quantum systems
• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Thermalization and prethermalization in isolated quantum systems: a theoretical overview
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
• Geometry and non-adiabatic response in quantum and classical systems
• Quantum many-body dynamics in optomechanical arrays
• Observation of a dissipative time crystal
• Many-body energy localization transition in periodically driven systems
• Observation of a continuous time crystal
• Unifying fast scrambling, thermalization and entanglement through the measurement of FOTOCs in the Dicke model
• Scrambling and entanglement spreading in long-range spin chains
• Many-Body Quantum Spin Dynamics with Monte Carlo Trajectories on a Discrete Phase Space
• Positive quantum Lyapunov exponents in experimental systems with a regular classical limit
• The theory of parametrically amplified electron-phonon superconductivity
• Emergent equilibrium in many-body optical bistability
• Pumped-up SU(1,1) interferometry
• Observation of scaling in the dynamics of a strongly quenched quantum gas
• Scrambling Dynamics and Out-of-Time Ordered Correlators in Quantum Many-Body Systems: a Tutorial
• Dynamical Quantum Phase Transitions: A Geometric Picture
• Quantum Dynamics in Krylov Space: Methods and Applications
• Quantum Walk of Two Interacting Bosons
• Bridging entanglement dynamics and chaos in semiclassical systems
• Emergent limit cycles and time crystal dynamics in an atom-cavity system
• Far-from-equilibrium field theory of many-body quantum spin systems: Prethermalization and relaxation of spin spiral states in three dimensions
• Dynamical Stability of a Many-body Kapitza Pendulum
• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
• Quantum correlations and entanglement in far-from-equilibrium spin systems
• Implementing quantum electrodynamics with ultracold atomic systems
• Impact of non-equilibrium fluctuations on pre-thermal dynamical phase transitions in long-range interacting spin chains
• Relaxation of an isolated dipolar-interacting Rydberg quantum spin system
• Anomalous Hall Effects of Light and Chiral Edge Modes on the Kagome Lattice
• Prethermalization in quenched spinor condensates
• Quenches near Ising quantum criticality as a challenge for artificial neural networks
• High Precision, Quantum-Enhanced Gravimetry with a Bose-Einstein Condensate
• Treelike interactions and fast scrambling with cold atoms
• Diffractive Dijet Production and Wigner Distributions from the Color Glass Condensate
• Glassy dynamics in a disordered Heisenberg quantum spin system
• Coherent Backscattering in Fock Space: a Signature of Quantum Many-Body Interference in Interacting Bosonic Systems
• Strongly anomalous non-thermal fixed point in a quenched two-dimensional Bose gas
• Exploring out-of-equilibrium quantum magnetism and thermalization in a spin-3 many-body dipolar lattice system
• Single shot simulations of dynamic quantum many-body systems
• Role of quantum fluctuations in a system with strong fields: Spectral properties and Thermalization
• From a continuous to a discrete time crystal in a dissipative atom-cavity system
• Emergent dark states from superradiant dynamics in multilevel atoms in a cavity
• Quantum dynamics of atomic bright solitons under splitting and re-collision, and implications for interferometry
• Robust spin squeezing via photon-mediated interactions on an optical clock transition
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• The Dissipative Bose-Hubbard Model. Methods and Examples
• Cluster Truncated Wigner Approximation in Strongly Interacting Systems
• Universality in driven open quantum matter
• Probing many-body interactions in an optical lattice clock
• Time crystals in a shaken atom-cavity system
• Open source Matrix Product States: Opening ways to simulate entangled many-body quantum systems in one dimension
• Dynamics of correlations in two-dimensional quantum spin models with long-range interactions: A phase-space Monte-Carlo study
• Controlling Dipolar Exchange Interactions in a Dense 3D Array of Large Spin Fermions
• Non-equilibrium time evolution and rephasing in the quantum sine-Gordon model
• Non-local emergent hydrodynamics in a long-range quantum spin system
• A comparison between microscopic methods for finite temperature Bose gases
• Moiré-Bose-Hubbard model for interlayer excitons in twisted transition metal dichalcogenide heterostructures
• A generalized phase space approach for solving quantum spin dynamics
• Prethermalization in one-dimensional quantum many-body systems with confinement
• SU(3) semiclassical representation of quantum dynamics of interacting spins
• Tightening the Lieb-Robinson Bound in Locally-Interacting Systems
• Bounds in Nonequilibrium Quantum Dynamics
• A cavity-QED simulator of slow and fast scrambling
• Chaos-driven dynamics in spin-orbit coupled atomic gases
• Universal scaling at non-thermal fixed points of a two-component Bose gas
• Magnetization signatures of light-induced quantum Hall edge states
• Family-Vicsek Scaling of Roughness Growth in a Strongly Interacting Bose Gas
• Decay of a superfluid current of ultra-cold atoms in a toroidal trap
• Long-lived non-thermal states realized by atom losses in one-dimensional quasi-condensates
• Parametric instabilities in a 2D periodically-driven bosonic system: Beyond the weakly-interacting regime
• Nonequilibrium dynamics of spin-boson models from phase space methods
• Extracting the field theory description of a quantum many-body system from experimental data
• Efficient method to generate time evolution of the Wigner function for open quantum systems
• Constructing phase space distributions with internal symmetries
• Parametric instabilities of interacting bosons in periodically-driven 1D optical lattices
• Josephson photonics with a two-mode superconducting circuit
• Functional Wigner representation of BEC quantum dynamics
• Squeezed-light-enhanced atom interferometry below the standard quantum limit
• Semiclassical echo dynamics in the Sachdev-Ye-Kitaev model
• Antiferromagnetic Spatial Ordering in a Quenched One-dimensional Spinor Gas
• Universal dynamics on the way to thermalisation
• Controlling spontaneous-emission noise in measurement-based feedback cooling of a Bose-Einstein Condensate
• Saddle-point scrambling without thermalisation
• Nonthermal fixed points and solitons in a one-dimensional Bose gas
• New Phase Space Formulations and Quantum Dynamics Approaches
• Non-thermal fixed points: Universal dynamics far from equilibrium
• Non-equilibrium magnetic phases in spin lattices with gain and loss
• Operator Spreading in Quantum Maps
• Quantum-to-Classical Correspondence and Hubbard-Stratonovich Dynamical Systems, a Lie-Algebraic Approach
• Extremal quantum states
• Classical and quantum chaos in a three-mode bosonic system
• Entanglement and correlations in fast collective neutrino flavor oscillations
• Engineering spin squeezing in a 3D optical lattice with interacting spin-orbit-coupled fermions
• Chiral instabilities & the onset of chiral turbulence in QED plasmas
• Tuning universality far from equilibrium
• Discrete truncated Wigner approach to dynamical phase transitions in Ising models after a quantum quench
• Exploring many body localization and thermalization using semiclassical method
• Dynamical Control of Order in a Cavity-BEC System
• Classical stochastic measurement trajectories: Bosonic atomic gases in an optical cavity and quantum measurement backaction
• Breakdown of the coherent state path integral: two simple examples
• Transport equations for superconductors in the presence of spin interaction
• Realistic simulations of spin squeezing and cooperative coupling effects in large ensembles of interacting two-level systems
• Semiclassical approach to Dynamics of Interacting Fermions
• Bose-Hubbard Hamiltonian: Quantum Chaos approach
• Acoustogalvanic effect in Dirac and Weyl semimetals
• Fully quantum scalable description of driven dissipative lattice models
• Dynamical quantum phase transitions in a spinor Bose-Einstein condensate and criticality enhanced quantum sensing
• Quench dynamics of one-dimensional bosons in a commensurate periodic potential: A quantum kinetic equation approach
• Phase-Space Methods for Simulating the Dissipative Many-Body Dynamics of Collective Spin Systems
• Light-induced coherence in an atom-cavity system
• Phase space geometry and optimal state preparation in quantum metrology with collective spins
• Prethermalization in the transverse-field Ising chain with long-range interactions
• Realizing and optimizing an atomtronic SQUID
• Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems
• On the observation of nonclassical excitations in Bose-Einstein condensates
• Intrinsic Photoconductivity of Ultracold Fermions in Optical Lattices
• Vacuum Decay in Real Time and Imaginary Time Formalisms
• Prescaling in a far-from-equilibrium Bose gas
• Breaking the Fluctuation-Dissipation Relation by Universal Transport Processes
• Quantum probabilities of composite events in quantum measurements with multimode states
• Schwinger-Keldysh approach to out of equilibrium dynamics of the Bose Hubbard model with time varying hopping
• Many-body dynamical localization in the kicked Bose-Hubbard chain
• Far-from-equilibrium universality in the two-dimensional Heisenberg model
• Driven-dissipative criticality within the discrete truncated Wigner approximation
• Hybrid discrete-continuous truncated Wigner approximation for driven, dissipative spin systems
• Quantum quench spectroscopy of a Luttinger liquid: Ultrarelativistic density wave dynamics due to fractionalization in an XXZ chain
• Quantum vs classical dynamics in a spin-boson system: manifestations of spectral correlations and scarring
• Discrete time crystals enforced by Floquet-Bloch scars
• Bi-directional universal dynamics in a spinor Bose gas close to a non-thermal fixed point
• Collective Radiative Interactions in the Discrete Truncated Wigner Approximation
• Signatures of excited state quantum phase transitions in quantum many body systems: Phase space analysis
• Self-trapping in an array of coupled 1D Bose gases
• Dynamical quantum ergodicity from energy level statistics
• Quenched dynamics in interacting one-dimensional systems: Appearance of current carrying steady states from initial domain wall density profiles
• Flemish Strings of Magnetic Solitons and a Non-Thermal Fixed Point in a One-Dimensional Antiferromagnetic Spin-1 Bose Gas
• Emergent classicality in continuous quantum measurements
• Chaos in the three-site Bose-Hubbard model -- classical vs quantum
• Nonequilibrium representative ensembles for isolated quantum systems
• Dynamics of interacting fermions in spin-dependent potentials
• Analysis of continuous and discrete Wigner approximations for spin dynamics
• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Quench from Mott Insulator to Superfluid
• Quantum read-out for cold atomic quantum simulators
• Quantum echo dynamics in the Sherrington-Kirkpatrick model
• Decay mechanisms of superflow of Bose-Einstein condensates in ring traps
• The effect of active photons on dynamical frustration in cavity QED
• Magnetic field dependence of the electron spin revival amplitude in periodically pulsed quantum dots
• The sine-Gordon model from coupled condensates: a Generalized Hydrodynamics viewpoint
• Dynamic Kosterlitz-Thouless transition in 2D Bose mixtures of ultra-cold atoms
• Equilibration of quasi-isolated quantum systems
• Violation of single-length scaling dynamics via spin vortices in an isolated spin-1 Bose gas
• Dissipative time crystal in an atom-cavity system: Influence of trap and competing interactions
• The bosonic skin effect: boundary condensation in asymmetric transport
• Semiclassical quench dynamics of Bose gases in optical lattices
• Thermal radiation and dissipative phase transition in a BEC with local loss
• A spinor Bose-Einstein condensate phase-sensitive amplifier for SU(1,1) interferometry
• Numerical study of Wigner negativity in one-dimensional steady-state resonance fluorescence
• Impact of the initial fluctuations on the dissipative dynamics of interacting Fermi systems: A model case study
• Localized phase structures growing out of quantum fluctuations in a quench of tunnel-coupled atomic condensates
• Scale Magnetic Effect in Quantum Electrodynamics and the Wigner-Weyl Formalism
• Transport through interacting defects and lack of thermalisation
• Decoherence and equilibration under nondestructive measurements
• Real-time non-adiabatic dynamics in the one-dimensional Holstein model: Trajectory-based vs exact methods
• Bosonic pair production and squeezing for optical phase measurements in long-lived dipoles coupled to a cavity
• Superflow decay in a toroidal Bose gas: The effect of quantum and thermal fluctuations
• Bridging the gap between classical and quantum many-body information dynamics
• Shapiro steps in driven atomic Josephson junctions
• Enhancement of many-body quantum interference in chaotic bosonic systems
• Bubble Clustering in Cosmological First Order Phase Transitions
• Caustics in quantum many-body dynamics
• False vacuum decay in the 1+1 dimensional ${\phi }^4$ theory
• Approximate particle number distribution from direct stochastic sampling of the Wigner function
• Spontaneous Beliaev-Landau scattering out of equilibrium
• Unconventional Universality Class of One-Dimensional Isolated Coarsening Dynamics in a Spinor Bose Gas
• Self-organized Limit Cycles in Red-detuned Atom-cavity Systems
• Universal dynamics and non-thermal fixed points in quantum fluids far from equilibrium
• Unraveling the nature of universal dynamics in $O(N)$ theories
• Quenches near criticality of the quantum Ising chain---power and limitations of the discrete truncated Wigner approximation
• Out-of-equilibrium dynamics of a Bose Einstein condensate in a periodically driven band system
• Dirac open quantum system dynamics: formulations and simulations
• Thermalization in closed quantum systems: semiclassical approach
• Simulation of the Dynamics of Many-Body Quantum Spin Systems Using Phase-Space Techniques
• Superfluidity of a laser-stirred Bose-Einstein condensate
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Quantum fluctuations of the friction force induced by the dynamical Casimir emission
• Quantum tunneling of a vortex between two pinning potentials
• Thermalization and its Breakdown for a Large Nonlinear Spin
• Quantum corrections of work statistics in closed quantum systems
• Experimental realization of the classical Dicke model
• QuantumToolbox.jl: An efficient Julia framework for simulating open quantum systems
• Reservoir interactions of a vortex in a trapped 3D Bose-Einstein condensate
• Quasiclassical approach to quantum quench dynamics in the presence of an excited-state quantum phase transition
• Nonadiabatic Field: A Conceptually Novel Approach for Nonadiabatic Quantum Molecular Dynamics
• Dynamics of an itinerant spin-3 atomic dipolar gas in an optical lattice
• Path integral approach to the Wigner representation of canonical density operators for discrete systems coupled to harmonic baths
• Stroboscopic aliasing in long-range interacting quantum systems
• Nonequilibrium transition between dissipative time crystals
• Entropy production from chaoticity in Yang-Mills field theory with use of the Husimi function
• Understanding quantum work in a quantum many-body system
• Wigner function and kinetic phenomena for chiral plasma in a strong magnetic field
• Quantum quenches in an interacting field theory: full quantum evolution vs. semi-classical approximations
• Many-body parametric resonances in the driven sine-Gordon model
• Describing many-body bosonic waveguide scattering with the truncated Wigner method
• Classical field records of a quantum system: their internal consistency and accuracy
• Non-Equilibrium Quantum Spin Dynamics from Classical Stochastic Processes
• Unphysical features in the application of the Boltzmann collision operator in the time dependent modelling of quantum transport
• Quantum spin dynamics in Fock space following quenches: Caustics and vortices
• Universal dynamics of rogue waves in a quenched spinor Bose condensate
• Bridging closed and dissipative discrete time crystals in spin systems with infinite-range interactions
• Coherent seeding of the dynamics of a spinor Bose-Einstein condensate: from quantum to classical behavior
• Theoretical study of stimulated and spontaneous Hawking effects from an acoustic black hole in a hydrodynamically flowing fluid of light
• Performance evaluation of the discrete truncated Wigner approximation for quench dynamics of quantum spin systems with long-range interactions
• Modeling near ground-state cooling of two-dimensional ion crystals in a Penning trap using electromagnetically induced transparency
• Generalized Discrete Truncated Wigner Approximation for Nonadiabtic Quantum-Classical Dynamics
• Variational truncated Wigner approximation for weakly interacting Bose fields: Dynamics of coupled condensates
• Dynamic mean-field theory for dense spin systems at infinite temperature
• Quantum-classical correspondence principle for heat distribution in quantum Brownian motion
• Quantum dynamics of Dissipative Kerr solitons
• Classical ergodicity and quantum eigenstate thermalization: Analysis in fully connected Ising ferromagnets
• Heisenberg-limited metrology with a squeezed vacuum state, three-mode mixing, and information recycling
• Condensate formation in a dark state of a driven atom-cavity system
• Confinement induced impurity states in spin chains
• Phase-space mixing in dynamically unstable, integrable few-mode quantum systems
• Open source Matrix Product States: Exact diagonalization and other entanglement-accurate methods revisited in quantum systems
• Implementation of an atomtronic SQUID in a strongly confined toroidal condensate
• Dissipative Quantum Chaos unveiled by Stochastic Quantum Trajectories
• Interaction induced Landau-Zener transitions
• Phase space methods for Majorana fermions
• User-friendly TWA for dissipative spin dynamics
• Quantum fluctuation effects on the quench dynamics of thermal quasicondensates
• Quantum-to-classical crossover in the spin glass dynamics of cavity QED simulators
• Far-from-equilibrium dynamics of an ultracold Fermi gas
• Eigenstate thermalization scaling in approaching the classical limit
• Quench-induced dynamical phase transitions and $\pi$-synchronization in the Bose-Hubbard Model
• Restricted phase-space approximation in real-time stochastic quantization
• Real-time dynamics of open quantum spin systems driven by dissipative processes
• Validating phase-space methods with tensor networks in two-dimensional spin models with power-law interactions
• The semiclassical propagator in Fock space: dynamical echo and many-body interference
• Integrability and quench dynamics in the spin-1 central spin XX model
• Adaptive variational low-rank dynamics for open quantum systems
• Quantum and classical correlations in high temperature dynamics of two coupled large spins
• Interplay of spin mode locking and nuclei-induced frequency focusing in quantum dots
• Quantum dynamics of long-range interacting systems using the positive-P and gauge-P representations
• Motional decoherence in ultracold Rydberg atom quantum simulators of spin models
• Quantum kinetic equation and thermal conductivity tensor for bosons
• Integrability in time-dependent systems with one degree of freedom
• Generalized phase-space description of non-linear Hamiltonian systems and the Harper-like dynamics
• $SU(1,1)$ covariant $s$-parametrized maps
• Measurement-induced multipartite-entanglement regimes in collective spin systems
• Quench induced Mott insulator to superfluid quantum phase transition
• Sampling scheme for neuromorphic simulation of entangled quantum systems
• Self-trapping phenomenon, multistability and chaos in open anisotropic Dicke dimer
• Attoscience in Phase Space
• Computing characteristic functions of quantum work in phase space
• Transverse instability and universal decay of spin spiral order in the Heisenberg model
• Injection and nucleation of topological defects in the quench dynamics of the Frenkel-Kontorova model
• Wigner distribution functions for complex dynamical systems: the emergence of the Wigner-Boltzmann equation
• Multi-time correlations in the positive-P, Q, and doubled phase-space representations
• Thermally isolated Luttinger liquids with noisy Hamiltonians
• Quantum generative model for sampling many-body spectral functions
• Non-commutative phase-space Lotka-Volterra dynamics: the quantum analogue
• Superradiant Electron Energy Loss Spectroscopy
• Effects of retardation on many-body superradiance in chiral waveguide QED
• Emergence of a tunable crystalline order in a Floquet-Bloch system from a parametric instability
• Complex Langevin approach to interacting Bose gases
• Quantum eigenstates from classical Gibbs distributions
• Quantum corrections to the entropy and its application in the study of quantum Carnot engines
• Quench dynamics in higher-dimensional Holstein models: Insights from Truncated Wigner Approaches
• Switching of Magnetization in Quantum Antiferromagnets with Time-Dependent Control Fields
• Non-equilibrium Dynamics of Renyi Entropy for Bosonic Many-Particle Systems
• Chaotic and quantum dynamics in driven-dissipative bosonic chains
• Regimes of Steady-State Turbulence in a Quantum Fluid
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model
• Detecting defect dynamics in relativistic field theories far from equilibrium using topological data analysis
• A ring of BEC pools as a trap for persistent flow
• Classical and Quantum Theory of Fluctuations for Many-Particle Systems out of Equilibrium
• Stochastic-field approach to the quench dynamics of the one-dimensional Bose polaron
• Quantum damping of Fermi-Pasta-Ulam revivals in ultracold Bose gases
• Equilibrium Parametric Amplification in Raman-Cavity Hybrids
• Understanding the dynamics of randomly positioned dipolar spin ensembles
• A tractable prescription for large-scale free flight expansion of wavefunctions
• Fragmentation, domain formation and atom number fluctuations of a two-species Bose-Einstein condensate in an optical lattice
• Metastable order protected by destructive many-body interference
• Non-classicality of positive relativistic Wigner function
• Chaos in circuit QED: decoherence, localization, and nonclassicality
• When quantum corrections alter the predictions of classical field theory for scalar field dark matter
• Quantum Fluctuations Approach to the Nonequilibrium $GW$-Approximation II: Density Correlations and Dynamic Structure Factor
• Quasiprobability currents on the sphere
• Simulating fermions in spin-dependent potentials with spin models on an energy lattice
• Emergence of a quasi-ergodic steady state in a dissipative Tavis-Cummings array
• Wigner-Weyl calculus in Keldysh technique
• Semiclassical Limit of Measurement-Induced Transition in Many-Body Chaos in Integrable and Nonintegrable Oscillator Chains
• Open quantum dynamics with variational non-Gaussian states and the truncated Wigner approximation
• Semiclassical bounds on dynamics of two-dimensional interacting disordered fermions
• Measuring and engineering entropy and spin squeezing in weakly linked Bose-Einstein condensates
• Metropolis-Hastings thermal state sampling for numerical simulations of Bose-Einstein condensates
• Phase-space approach to polaron response: Kadanoff and FHIP re-examined
• Hierarchical relaxation dynamics in a tilted two-band Bose-Hubbard model
• Probing chaos in the spherical p-spin glass model
• Quantum memory at an eigenstate phase transition in a weakly chaotic model
• A derivation of the conditions under which bosonic operators exactly capture fermionic structure and dynamics
• Measuring the arrival time of an electron wave packet using a dynamical potential barrier
• Kelvin waves in nonequilibrium universal dynamics of relativistic scalar field theories
• Dynamics of quantum discommensurations in the Frenkel-Kontorova chain
• Resurgent revivals in bosonic quantum gases: a striking signature of many-body quantum interferences
• Orbital-Free Quasi-Density Functional Theory
• Prethermalization of light and matter in cavity-coupled Rydberg arrays
• Dynamical density wave order in an atom-cavity system
• Efficient computations of quantum canonical Gibbs state in phase space
• Self-trapping dynamics in a 2D optical lattice
• Emergence of a Renormalized $1/N$ Expansion in Quenched Critical Many-Body Systems
• Can Wigner distribution functions with collisions satisfy complete positivity and energy conservation?
• Wigner representation of the rotational dynamics of rigid tops
• Symmetry-induced many-body quantum interference in chaotic bosonic systems: an augmented Truncated Wigner method
• Random spin textures in turbulent spinor Bose-Einstein condensates
• Dynamical quantum depletion in polariton condensates
• Two-Time Quantum Fluctuations Approach and its Relation to the Bethe--Salpeter Equation
• Nuclear magnetic resonance spectroscopy of nonequilibrium steady states in quantum dots
• Chaos-assisted Turbulence in Spinor Bose-Einstein Condensates
• Vortex formation and dynamics in two-dimensional driven-dissipative condensates
• Antichiral and trap-skin dynamics in a nonreciprocal bosonic two-leg ladder with artificial magnetic flux
• How to probe the microscopic onset of irreversibility with ultracold atoms
• Non-equilibrium time evolution in the sine-Gordon model revisited
• Modeling local decoherence of a spin ensemble using a generalized Holstein-Primakoff mapping to a bosonic mode
• Two-dimensional correlation propagation dynamics with a cluster discrete phase-space method
• Area laws and thermalization from classical entropies in a Bose-Einstein condensate
• Circuit QED theory of direct and dual Shapiro steps with finite-size transmission line resonators
• Path-Integral Formulation of Truncated Wigner Approximation for Bosonic Markovian Open Quantum Systems
• Discrete-phase-space method for driven-dissipative dynamics of strongly interacting bosons in optical lattices
• Impact of quantum noise on phase transitions in an atom-cavity system with limit cycles
• Spin self-organization in an optical cavity facilitated by inhomogeneous broadening
• Decoherence Limits the Cost to Simulate an Anharmonic Oscillator
• Non-linear Relaxation of Interacting Bosons Coherently Driven on a Narrow Optical Transition
• Quantum simulating continuum field theories with large-spin lattice models
• Genuine Quantum effects in Dicke-type Models at large atom numbers
• Quantum corrections of the truncated Wigner approximation applied to an exciton transport model
• Heat transport in overdamped quantum systems
• A convenient Keldysh contour for thermodynamically consistent perturbative and semiclassical expansions
• Cavity quantum electrodynamics of continuously monitored Bose-condensed atoms
• Continuous phase-space methods on discrete phase spaces
• Cluster truncated Wigner approximation for bond-disordered Heisenberg spin models
• Unitary death of Schrödinger's cat
• Far-from-equilibrium universality in two-dimensional Heisenberg antiferromagnets
• Anomalous molecular dynamics in the vicinity of conical intersections
• Scale-invariant relaxation dynamics in two-component Bose-Einstein condensates with large particle-number imbalance
• Dynamical large deviations for an inhomogeneous wave kinetic theory: linear wave scattering by a random medium
• Twin-Space Representation of Classical Mapping Model in the Constraint Phase Space Representation: Numerically Exact Approach to Open Quantum Systems
• The Moving Born-Oppenheimer Approximation
• Quantum-field-theoretical approach to phase-space techniques: Symmetric Wick theorem and multitime Wigner representation
• Quantum Chaos in a Rydberg Atom System
• Hanbury Brown-Twiss correlations and multimode dynamics of quenched spinor Bose-Einstein condensates
• Semiclassical Dynamics in Wigner Phase Space I : Adiabatic Hybrid Wigner Dynamics
• Entropy estimation in a spin-1 Bose-Einstein condensate
• Dynamics of weakly interacting bosons in optical lattices with flux
• Semiclassical evaluation of expectation values
• Semiclassical dynamics of a dark soliton in a one-dimensional bosonic superfluid in an optical lattice
• Dissipative chaos and steady state of open Tavis-Cummings dimer
• Gaussian trajectory description of fragmentation in an isolated spinor condensate
• Out of equilibrium mean field dynamics in the transverse field Ising model
• Phase-Space Methods for Many-Body Quantum Optics
• Systematic large flavor fTWA approach to interaction quenches in the Hubbard model
• Semiclassical energy transition of driven chaotic systems: phase coherence on scar disks
• Wigner current in multidimensional quantum billiards
• On the dual structure of the Schrödinger dynamics
• Semi-Classical Discretization and Long-Time Evolution of Variable Spin Systems
• Moiré Superradiance in Cavity Quantum Electrodynamics with Quantum Atom Gas
• Escaping Local Minima with Quantum Coherent Cooling
• On kinetic theories with color and spin from amplitudes
• Realizing an Atomtronic AQUID in a Rotating-Box Potential
• Joint quantum-classical Hamilton variation principle in the phase space
• Correspondence rules for Wigner functions over SU(3)/U(2)
• Truncated Wigner approximation as a non-positive Kraus map
• Wigner function dynamics with boundaries expressed as convolution
• Designing Atomtronic Circuits via Superfluid Dynamics
• Extracting the symmetries of nonequilibrium quantum many-body systems
• SU(3) truncated Wigner approximation for strongly interacting Bose gases
• Perturbation theory under the truncated Wigner approximation reveals how system-environment entanglement formation drives quantum decoherence
• Chaos and anomalous transport in a semiclassical Bose-Hubbard chain
• Dynamics of the Mott Insulator to Superfluid quantum phase transition in the truncated Wigner approximation
• Scale invariant distribution functions in quantum systems with few degrees of freedom
• Dynamics of quantum vortices at finite temperature
• The Dynamics of the Hubbard Model through Stochastic Calculus and Girsanov Transformation
• A semiclassical theory of phase-space dynamics of interacting bosons
• Probing microscopic models for system-bath interactions via parametric driving
• Simulation of nonequilibrium spin dynamics in quantum dots subjected to periodic laser pulses
• Unifying quantum stochastic methods using Wick's theorem on the Keldysh contour
• Caustics in the sine-Gordon model from quenches in coupled 1D Bose gases
• Time reversal symmetry protected chaotic fixed point in the quench dynamics of a topological $p$-wave superfluid
• Out-of-time-order correlator computation based on discrete truncated Wigner approximation
• Quantum and semiclassical dynamics as fluid theories where gauge matters
• Magnon Nesting in Driven Two-Dimensional Quantum Magnets
• Universal quantum melting of quasiperiodic attractors in driven-dissipative cavities
• Probabilistic Hysteresis from a Quantum Phase Space Perspective
• Josephson Dynamics in 2D Ring-shaped Condensates
• Third quantization with Hartree approximation for open-system bosonic transport
• Quantum Shape Effects
• Truncated Wigner approximation for the bosonic model of large spin baths
• Reduced Dimensional Monte Carlo Method: Preliminary Integrations
• Dynamical quantum phase transitions on random networks
• Chaos and quantum regimes in $n$-photon driven, dissipative bosonic chains
• Interplay between coherent and incoherent decay processes in chaotic systems: the role of quantum interference
• Out-of-time-order correlators for Swanson Hamiltonian with interaction terms
• Quantum signatures and semiclassical limitations in the transmission of Fock states
• Control of noisy quantum systems: Field theory approach to error mitigation
• Robust Negativity in the Quantum-to-Classical Transition of Kerr Dynamics
• Benchmarking quantum phase-space methods for near-resonant light propagation
• Topological dynamics of adiabatic cat states
• Chaos, thermalization and breakdown of quantum-classical correspondence in a collective many-body system
• Atomic Josephson Parametric Amplifier
• Influence of quadrupolar interaction on NMR spectroscopy
• Trajectory-Resolved Weiss Fields for Quantum Spin Dynamics
• Dynamics and fragmentation of bosons in an optical lattice inside a cavity using Wannier and position bases
• Controlled bit-flip of period-doubling and discrete time crystalline states in open systems
• Path-Integral Formulation of Bosonic Markovian Open Quantum Dynamics with Monte Carlo stochastic trajectories using the Glauber-Sudarshan P, Wigner, and Husimi Q Functions and Hybrids
• Controlled generation of 3D vortices in driven atomic Josephson junctions
• Field moment expansion method for interacting Bosonic systems
• Shortcuts to Analog Preparation of Non-Equilibrium Quantum Lakes
• Gradient expansion of the non-Abelian gauge-covariant Moyal star-product
• First-order dissipative phase transition in an exciton-polariton condensate
• Variational Truncated Wigner Approximation