Constructing the generalized Gibbs ensemble after a quantum quench

Abstract

Using a numerical renormalization group based on exploiting an underlying exactly solvable non- relativistic theory, we study the out-of-equilibrium dynamics of a 1D Bose gas (as described by the Lieb-Liniger model) released from a parabolic trap. Our method allows us to track the post-quench dynamics of the gas all the way to infinite time. We also exhibit a general construction, applicable to all integrable models, of the thermodynamic ensemble that has been suggested to govern this dynamics, the generalized Gibbs ensemble. We compare the predictions of equilibration from this ensemble against the long time dynamics observed using our method.

9 pages, 8 figures

References in corpus (15)

• Thermalization and its mechanism for generic isolated quantum systems
• Real time evolution using the density matrix renormalization group
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Quantum Quench in the Transverse Field Ising Chain
• Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
• The Luttinger model following a sudden interaction switch-on
• Dephasing and the steady state in quantum many-particle systems
• Effective thermal dynamics following a quantum quench in a spin chain
• Dynamical density-density correlations in the one-dimensional Bose gas
• Entropy of isolated quantum systems after a quench
• Quantum quench dynamics of the sine-Gordon model in some solvable limits
• Exploring local quantum many-body relaxation by atoms in optical superlattices
• Generalized TBA and generalized Gibbs
• Exact prefactors in static and dynamic correlation functions of 1D quantum integrable models: applications to the Calogero-Sutherland, Lieb-Liniger and XXZ models
• Exciton Hierarchies in Gapped Carbon Nanotubes

Cited by in corpus (190)

• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents
• Generalized Gibbs ensemble in integrable lattice models
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Experimental Observation of a Generalized Gibbs Ensemble
• Time evolution of local observables after quenching to an integrable model
• Complete Generalized Gibbs Ensemble in an interacting Theory
• Quantum quenches in 1+1 dimensional conformal field theories
• Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
• Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
• Quasilocal charges in integrable lattice systems
• Reduced Density Matrix after a Quantum Quench
• Ultracold atoms out of equilibrium
• Solution for an interaction quench in the Lieb-Liniger Bose gas
• Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
• "Light-cone" dynamics after quantum quenches in spin chains
• Prethermalization and thermalization in models with weak integrability breaking
• Prethermalization and universal dynamics in near-integrable quantum systems
• Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
• Large-scale description of interacting one-dimensional Bose gases: generalized hydrodynamics supersedes conventional hydrodynamics
• The Quench Action
• Conformal field theory out of equilibrium: a review
• Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain
• Roadmap on Atomtronics: State of the art and perspective
• Generalized hydrodynamics in strongly interacting 1D Bose gases
• Validity of the GGE for quantum quenches from interacting to noninteracting models
• Analytic results for a quantum quench from free to hard-core one dimensional bosons
• Generalized Gibbs Ensembles for Quantum Field Theories
• Equilibration of a Tonks-Girardeau gas following a trap release
• Quench Dynamics in a Model with Tuneable Integrability Breaking
• Thermodynamics of quantum systems with multiple conserved quantities
• Quantum quench in the sine-Gordon model
• Infinite-time Average of Local Fields in an Integrable Quantum Field Theory after a Quantum Quench
• Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1+1d
• Stationary behaviour of observables after a quantum quench in the spin-1/2 Heisenberg XXZ chain
• Interaction quenches in the 1D Bose gas
• Relaxation and thermalization in the one-dimensional Bose-Hubbard model: A case study for the interaction quantum quench from the atomic limit
• On Conservation Laws, Relaxation and Pre-relaxation after a Quantum Quench
• The isolated Heisenberg magnet as a quantum time crystal
• Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
• From Interacting Particles to Equilibrium Statistical Ensembles
• Universal far-from-equilibrium Dynamics of a Holographic Superconductor
• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Glimmers of a Quantum KAM Theorem: Insights from Quantum Quenches in One Dimensional Bose Gases
• Dissipation Induced Nonstationarity in a Quantum Gas
• Thermodynamic Equilibrium as a Symmetry of the Schwinger-Keldysh Action
• Generalized Hydrodynamics in the 1D Bose gas: theory and experiments
• Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
• Determination of the Nonequilibrium Steady State Emerging from a Defect
• Generalized Gibbs Ensemble for Heisenberg Spin Chains
• Thermalization and light cones in a model with weak integrability breaking
• Hamiltonian Truncation Study of the Phi^4 Theory in Two Dimensions II. The Z_2-Broken Phase and the Chang Duality
• Hydrodynamics of the interacting Bose gas in the Quantum Newton Cradle setup
• Thermalization and pseudolocality in extended quantum systems
• Quantum quench from a thermal tensor state: boundary effects and generalized Gibbs ensemble
• Real-time simulation of the Schwinger effect with Matrix Product States
• Impact of non-equilibrium fluctuations on pre-thermal dynamical phase transitions in long-range interacting spin chains
• Correlation Functions of the Quantum Sine-Gordon Model in and out of Equilibrium
• An exact formalism for the quench dynamics of integrable models
• Quantum quenches in the sinh-Gordon model: steady state and one point correlation functions
• The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas
• Nonequilibrium dynamics of one-dimensional hard-core anyons following a quench: Complete relaxation of one-body observables
• From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in $XXZ$ Heisenberg spin chains
• Quantum quenches from excited states in the Ising chain
• Fundamental Asymmetry in Quenches Between Integrable and Nonintegrable Systems
• Correlations and diagonal entropy after quantum quenches in XXZ chains
• Sudden expansion of Mott insulators in one dimension
• Equilibration Properties of Classical Integrable Field Theories
• Quantum quench within the gapless phase of the spin-1/2 Heisenberg XXZ spin-chain
• Correlation functions in the prethermalized regime after a quantum quench of a spin-chain
• Conformal field theory on top of a breathing one-dimensional gas of hard core bosons
• Quantum Quenches in the Luttinger model and its close relatives
• Pre-relaxation in weakly interacting models
• Quantum quenches to the attractive one-dimensional Bose gas: exact results
• Fate of Majorana fermions and Chern numbers after a quantum quench
• Universal scaling of density and momentum distributions in Lieb-Liniger gases
• Sudden Expansion of a One-Dimensional Bose Gas from Power-Law Traps
• Stationary entanglement entropies following an interaction quench in 1D Bose gas
• Quantum quenches and Generalized Gibbs Ensemble in a Bethe Ansatz solvable lattice model of interacting bosons
• Integrability-protected adiabatic reversibility in quantum spin chains
• Hall Response and Edge Current Dynamics in Chern Insulators out of Equilibrium
• Breakdown of Tan's relation in lossy one-dimensional Bose gases
• Truncated Conformal Space Approach for 2D Landau-Ginzburg Theories
• Exact dynamics following an interaction quench in a one-dimensional anyonic gas
• Interaction quench in a Lieb-Liniger model and the KPZ equation with flat initial conditions
• Quasi-local conserved charges and spin transport in spin-$1$ integrable chains
• Generalized hydrodynamics regime from the thermodynamic bootstrap program
• Excited state TBA and renormalized TCSA in the scaling Potts model
• Interaction quench in a trapped one-dimensional Bose gas
• Recursive formulas for the overlaps between Bethe states and product states in XXZ Heisenberg chains
• Approximate light cone effects in a non-relativistic quantum field theory after a local quench
• Exact nonequilibrium dynamics of finite-temperature Tonks-Girardeau gases
• Quasi locality of the GGE in interacting-to-free quenches in relativistic field theories
• Chaos and quantum scars in Bose-Josephson junction coupled to a bosonic mode
• Generalized hydrodynamics: a perspective
• Anomalous low-frequency conductivity in easy-plane XXZ spin chains
• Expansion potentials for exact far-from-equilibrium spreading of particles and energy
• Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
• Entanglement hamiltonian evolution during thermalization in conformal field theory
• Non-equilibrium dynamics of coupled Luttinger liquids
• Non-Equilibrium Steady State generated by a moving defect: the supersonic threshold
• Quantum Shock Waves and Population Inversion in Collisions of Ultracold Atomic Clouds
• Quasi-local charges and the Generalized Gibbs Ensemble in the Lieb-Liniger model
• Test of quantum thermalization in the two-dimensional transverse-field Ising model
• Statistical mechanics of an integrable system
• Studying the Perturbed Wess-Zumino-Novikov-Witten SU(2)k Theory Using the Truncated Conformal Spectrum Approach
• Quantum Quench in a Harmonically Trapped One-Dimensional Bose Gas
• Quench dynamics of one-dimensional bosons in a commensurate periodic potential: A quantum kinetic equation approach
• Many-Body Dynamical Localization in a Kicked Lieb-Liniger Gas
• Relaxation dynamics of two coherently coupled one-dimensional bosonic gases
• Measuring effective temperatures in a generalized Gibbs ensemble
• Quench echo and work statistics in integrable quantum field theories
• Prethermalization at Low Temperature: the Scent of Long-Range Order
• Boundary Conditions and Partition Functions in Higher Spin AdS${}_3$/CFT${}_2$
• Generalized Gibbs Ensemble of 2d CFTs at large central charge in the thermodynamic limit
• Truncated Conformal Space Approach for Perturbed Wess-Zumino-Witten $SU(2{)}_k$ Models
• Entanglement evolution across defects in critical anisotropic Heisenberg chains
• Generalized Gibbs ensemble in a nonintegrable system with an extensive number of local symmetries
• Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains
• Thermalization of a quantum Newton's cradle in a one-dimensional quasicondensate
• Prethermalization from a low-density Holstein-Primakoff expansion
• Quantum quench and thermalization of one-dimensional Fermi gas via phase space hydrodynamics
• Non-equilibrium criticality in quench dynamics of infinite-range spin models
• Quantum quench in the Luttinger model with finite temperature initial state
• Unitary dynamics of strongly-interacting Bose gases with time-dependent variational Monte Carlo in continuous space
• Probing non-thermal density fluctuations in the one-dimensional Bose gas
• On Truncated Generalized Gibbs Ensembles in the Ising Field Theory
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• Thermalization of interacting quasi-one-dimensional systems
• Stationary state after a quench to the Lieb-Liniger from rotating BECs
• Interaction Quench in Nonequilibrium Luttinger Liquids
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• Edge mode dynamics of quenched topological wires
• Generalized thermalization in quantum-chaotic quadratic Hamiltonians
• Linearized regime of the generalized hydrodynamics with diffusion
• Breathing mode in the Bose-Hubbard chain with a harmonic trapping potential
• Probing the local rapidity distribution of a 1D Bose gas
• Quenches from gaussian bosons to Tonks-Girardeau gas: stationary states and effects of a confining potential
• Superluminal moving defects in the Ising spin chain
• Lack of thermalization for integrability-breaking impurities
• Dissipation-driven integrable fermionic systems: from graded Yangians to exact nonequilibrium steady states
• Competing interactions in semiconductor quantum dots
• Noncommutative generalized Gibbs ensemble in isolated integrable quantum systems
• General finite-size effects for zero-entropy states in one-dimensional quantum integrable models
• Recurrence time in the quantum dynamics of the 1D Bose gas
• Dynamical depinning of a Tonks Girardeau gas
• Non-equilibrium aspects of integrable models
• Simulating Zeno physics by quantum quench with superconducting circuits
• Interplay of Solitons and Radiation in One-Dimensional Bose Gases
• Fluctuation Theorems and the Generalised Gibbs Ensemble in Integrable Systems
• Exact dynamics of a one dimensional Bose gas in a periodic time-dependent harmonic trap
• Measuring post-quench entanglement entropy through density correlations
• Entanglement prethermalization in the Tomonaga-Luttinger model
• Stationary ensemble approximations of dynamic quantum states: Optimizing the Generalized Gibbs Ensemble
• Soliton splitting in quenched classical integrable systems
• Geometric squeezing of rotating quantum gases into the lowest Landau level
• Relaxation of phonons in the Lieb-Liniger gas by dynamical refermionization
• The two particle-hole pairs contribution to the dynamic correlation functions of quantum integrable models
• Subspace restricted thermalization in a correlated-hopping model with strong Hilbert space fragmentation characterized by irreducible strings
• A variational method for integrability-breaking Richardson-Gaudin models
• Quench-induced delocalization
• Frequency beating and damping of breathing oscillations of a harmonically trapped one-dimensional quasicondensate
• Quench Dynamics in Two-Dimensional Integrable SUSY Models
• Classical route to ergodicity and scarring in collective quantum systems
• Navier-Stokes equations for nearly integrable quantum gases
• Conserved Quantities from Entanglement Hamiltonian
• Relaxation to Gaussian Generalized Gibbs Ensembles in Quadratic Bosonic Systems in the Thermodynamic Limit
• Generalized thermalization for integrable system under quantum quench
• Prethermalization in coupled one-dimensional quantum gases
• Planar quantum quenches: Computation of exact time-dependent correlation functions at large $N$
• Entanglement Pre-thermalization in an Interaction Quench between Two Harmonic Oscillators
• Prethermalization in the PXP Model under Continuous Quasiperiodic Driving
• Experimental Investigation of a Bipartite Quench in a 1D Bose gas
• Super-Tonks-Girardeau Quench in the Extended Bose-Hubbard Model
• Finite-size effects from higher conservation laws for the one-dimensional Bose gas
• Truncated string state space approach and its application to nonintegrable spin-$\frac{1}{2}$ Heisenberg chain
• Slow relaxation and sensitivity to disorder in trapped lattice fermions after a quench
• Chapman-Enskog theory and crossover between diffusion and superdiffusion for nearly integrable quantum gases
• On computing non-equilibrium dynamics following a quench
• Scale invariant distribution functions in quantum systems with few degrees of freedom
• Return probability of $N$ fermions released from a 1D confining potential
• Diagnostics of Hilbert space fragmentation, freezing transition, and its effects in the family of quantum East models involving varying range of constraints
• Exact results for nonequilibrium dynamics in Wigner phase space
• Generalized Gibbs Ensemble from Eigenstate Entanglement Hamiltonian
• Matrix approach to generalized ensemble theory for nonequilibrium discrete systems
• Entanglement dynamics of a hard-core quantum gas during a Joule expansion
• Momentum Evolution Numerics of an Impurity in a Quantum Quench
• Quantum transitions, ergodicity, and quantum scars in the coupled top model
• Exact results, transient generalized Gibbs ensembles, and analytic approximations for spacetime propagators of massive, real scalar fields in one spatial dimension
• Theoretical study on thermalization in isolated quantum systems