Interaction quenches in the 1D Bose gas
arXiv:1305.7202 · doi:10.1103/PhysRevB.88.205131
Abstract
The non-equilibrium dynamics of integrable systems are special: there is substantial evidence that after a quantum quench they do not thermalize but their asymptotic steady state can be described by a Generalized Gibbs Ensemble (GGE). Most of the studies on the GGE so far have focused on models that can be mapped to quadratic systems while analytic treatment in non-quadratic systems remained elusive. We obtain results on interaction quenches in a non-quadratic continuum system, the 1D Bose gas described by the integrable Lieb-Liniger model. We compute local correlators for a non-interacting initial state and arbitrary final interactions as well as two-point functions for quenches to the Tonks-Girardeau regime. We show that in the long time limit integrability leads to significant deviations from the predictions of the grand canonical ensemble.
arXiv commentSupersedes arXiv:1204.3889. 4+ pages + Supplementary Material
References in corpus (93)
- Many-Body Physics with Ultracold Gases
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting quantum systems
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- Time-dependence of correlation functions following a quantum quench
- One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
- The foundations of statistical mechanics from entanglement: Individual states vs. averages
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Quantum Inverse Scattering Method and Correlation Functions
- Light-cone-like spreading of correlations in a quantum many-body system
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
- Canonical Typicality
- Quantum Quench in the Transverse Field Ising Chain
- Quantum mechanical evolution towards thermal equilibrium
- Time evolution of local observables after quenching to an integrable model
- Realization of an Excited, Strongly-Correlated Quantum Gas Phase
- Foundation of Statistical Mechanics under experimentally realistic conditions
- The Luttinger model following a sudden interaction switch-on
- Dynamical phase transition in correlated fermionic lattice systems
- Exact relaxation in a class of non-equilibrium quantum lattice systems
- Fermionic transport in a homogeneous Hubbard model: Out-of-equilibrium dynamics with ultracold atoms
- From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
- Dephasing and the steady state in quantum many-particle systems
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Strong and weak thermalization of infinite non-integrable quantum systems
- Generalized Thermalization in an Integrable Lattice System
- Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
- Effect of Rare Fluctuations on the Thermalization of Isolated Quantum Systems
- Reduced Density Matrix after a Quantum Quench
- Strongly correlated fermions after a quantum quench
- Quantum quench dynamics of the Luttinger model
- Quantum quench dynamics of some exactly solvable models in one dimension
- Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
- Generalized Gibbs ensemble prediction of prethermalization plateaus and their relation to nonthermal steady states in integrable systems
- Absence of Thermalization in Nonintegrable Systems
- Typicality for Generalized Microcanonical Ensembles
- Constructing the generalized Gibbs ensemble after a quantum quench
- Effective thermal dynamics following a quantum quench in a spin chain
- Quantum equilibration in finite time
- Quantum Quenches in Integrable Field Theories
- Equilibration of quantum systems and subsystems
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- Nonthermal steady states after an interaction quench in the Falicov-Kimball model
- Dynamical Correlations after a Quantum Quench
- A quantum central limit theorem for non-equilibrium systems: Exact local relaxation of correlated states
- Equilibration of a Tonks-Girardeau gas following a trap release
- Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior
- Thermalization and Quantum Correlations in Exactly Solvable Models
- Relaxation of a one-dimensional Mott insulator after an interaction quench
- Quantum quench dynamics of the sine-Gordon model in some solvable limits
- Infinite-time Average of Local Fields in an Integrable Quantum Field Theory after a Quantum Quench
- Stationary behaviour of observables after a quantum quench in the spin-1/2 Heisenberg XXZ chain
- Generalized TBA and generalized Gibbs
- Dynamics in the Ising field theory after a quantum quench
- Mode coupling induced dissipative and thermal effects at long times after a quantum quench
- Quench dynamics of the interacting Bose gas in one dimension
- Quantum quenches from integrability: the fermionic pairing model
- Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
- Fluctuation-dissipation relations and critical quenches in the transverse field Ising chain
- Initial state dependence of the quench dynamics in integrable quantum systems
- Exact time evolution of space- and time-dependent correlation functions after an interaction quench in the 1D Bose gas
- Correlation functions for a strongly correlated boson system
- Quenches in a quasi-disordered integrable lattice system: Dynamics and statistical description of observables after relaxation
- Expectation Values in the Lieb-Liniger Bose Gas
- 1D Lieb-Liniger Bose Gas as Non-Relativistic Limit of the Sinh-Gordon Model
- Correlations in an expanding gas of hard-core bosons
- Luttinger liquid universality in the time evolution after an interaction quench
- Quench Dynamics in Randomly Generated Extended Quantum Models
- Dynamical free energy and the Loschmidt-echo for a class of quantum quenches in the Heisenberg spin chain
- Three-body correlation functions and recombination rates for bosons in three and one dimensions
- Relaxation, pre-thermalization and diffusion in a noisy Quantum Ising Chain
- Zamolodchikov-Faddeev Algebra and Quantum Quenches in Integrable Field Theories
- Exact three-body local correlations for excited states of the 1D Bose gas
- An exact formalism for the quench dynamics of integrable models
- Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
- Local correlations in the 1D Bose gas from a scaling limit of the XXZ chain
- Correlation functions in the prethermalized regime after a quantum quench of a spin-chain
- Finite-size corrections vs. relaxation after a sudden quench
- Thermalization and dissipation in out of equilibrium quantum systems: A perturbative renormalization group approach
- Exact methods in analysis of nonequilibrium dynamics of integrable models: application to the study of correlation functions in nonequilibrium 1D Bose gas
- Cylindric versions of specialised Macdonald functions and a deformed Verlinde algebra
- Dynamic correlations, fluctuation-dissipation relations, and effective temperatures after a quantum quench of the transverse field Ising chain
- Fermionisation dynamics of a strongly interacting 1D Bose gas after an interaction quench
- Dynamics of pair correlations in the attractive Lieb-Liniger gas
- Quench dynamics of the Tomonaga-Luttinger model with momentum dependent interaction
- Time-evolution and dynamical phase transitions at a critical time in a system of one dimensional bosons after a quantum quench
- Universal Features of the Excitation Spectrum in Generalized Gibbs Distribution Ensemble
- Density ripples in expanding low-dimensional gases as a probe of correlations
Cited by in corpus (102)
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- 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
- Solution for an interaction quench in the Lieb-Liniger Bose gas
- Entanglement dynamics after quantum quenches in generic integrable systems
- The Quench Action
- Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain
- Roadmap on Atomtronics: State of the art and perspective
- 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
- Quench Dynamics in a Model with Tuneable Integrability Breaking
- Eigenstate thermalization hypothesis (ETH) and integrability in quantum spin chains
- Quantum quench in the sine-Gordon model
- Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas
- On Conservation Laws, Relaxation and Pre-relaxation after a Quantum Quench
- Multi-particle bound state formation following a quantum quench to the one-dimensional Bose gas with attractive interactions
- Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
- From Interacting Particles to Equilibrium Statistical Ensembles
- Glimmers of a Quantum KAM Theorem: Insights from Quantum Quenches in One Dimensional Bose Gases
- Thermalization and light cones in a model with weak integrability breaking
- Failure of the GGE hypothesis for integrable models with bound states
- String-charge duality in integrable lattice models
- Quench action approach for releasing the Néel state into the spin-1/2 XXZ chain
- Dynamical free energy and the Loschmidt-echo for a class of quantum quenches in the Heisenberg spin chain
- Thermalisation of a trapped one-dimensional Bose gas via diffusion
- Quantum quenches in the sinh-Gordon model: steady state and one point correlation functions
- Quantum quenches from excited states in the Ising chain
- Quantum quenches in the sine--Gordon model: a semiclassical approach
- Quantum quench within the gapless phase of the spin-1/2 Heisenberg XXZ spin-chain
- Quantum Quenches in the Luttinger model and its close relatives
- Néel-XXZ state overlaps: odd particle numbers and Lieb-Liniger scaling limit
- Pre-relaxation in weakly interacting models
- Quantum quenches to the attractive one-dimensional Bose gas: exact results
- Spectral theory for the q-Boson particle system
- Memory-preserving equilibration after a quantum quench in a 1d critical model
- 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
- Relaxation dynamics of local observables in integrable systems
- Analytical expression for a post-quench time evolution of the one-body density matrix of one-dimensional hard-core bosons
- Quantum quenches and Generalized Gibbs Ensemble in a Bethe Ansatz solvable lattice model of interacting bosons
- Overlaps between eigenstates of the XXZ spin-1/2 chain and a class of simple product states
- Exact dynamics following an interaction quench in a one-dimensional anyonic gas
- Charges and currents in quantum spin chains: late-time dynamics and spontaneous currents
- Interaction quench in a Lieb-Liniger model and the KPZ equation with flat initial conditions
- Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
- Quasi-local conserved charges and spin transport in spin- integrable chains
- Interaction quench in a trapped one-dimensional Bose gas
- Recursive formulas for the overlaps between Bethe states and product states in XXZ Heisenberg chains
- Exact nonequilibrium dynamics of finite-temperature Tonks-Girardeau gases
- Approximate light cone effects in a non-relativistic quantum field theory after a local quench
- Quasi locality of the GGE in interacting-to-free quenches in relativistic field theories
- Quantum quench in long-range field theories
- Exact correlations in the Lieb-Liniger model and detailed balance out-of-equilibrium
- Particle-hole pairs and density-density correlations in the Lieb-Liniger model
- Relaxation dynamics of the Lieb-Liniger gas following an interaction quench: A coordinate Bethe-ansatz analysis
- Edge singularities and quasi-long-range order in non-equilibrium steady states
- Quantum Quench of the trap frequency in the harmonic Calogero model
- Quasi-local charges and the Generalized Gibbs Ensemble in the Lieb-Liniger model
- Quantum Quench in a Harmonically Trapped One-Dimensional Bose Gas
- Many-Body Dynamical Localization in a Kicked Lieb-Liniger Gas
- Quench echo and work statistics in integrable quantum field theories
- Generalized Hydrodynamics of the attractive Non-Linear Schroedinger Equation
- Entanglement prethermalization: Locally thermal but non-locally non-thermal states in a one-dimensional Bose gas
- Universal post-quench coarsening and quantum aging at a quantum critical point
- Quench action and large deviations: work statistics in the one-dimensional Bose gas
- A systematic -expansion of form factor sums for dynamical correlations in the Lieb-Liniger model
- Generalized Gibbs ensemble in a nonintegrable system with an extensive number of local symmetries
- Quantum quench and thermalization of one-dimensional Fermi gas via phase space hydrodynamics
- A coordinate Bethe ansatz approach to the calculation of equilibrium and nonequilibrium correlations of the one-dimensional Bose gas
- Exact out-of-equilibrium steady states in the semiclassical limit of the interacting Bose gas
- On Truncated Generalized Gibbs Ensembles in the Ising Field Theory
- Stationary state after a quench to the Lieb-Liniger from rotating BECs
- Quantum Quench in the Infinitely Repulsive Hubbard Model: the Stationary State
- Equilibration and GGE for hard wall boundary conditions
- Generalized thermalization in quantum-chaotic quadratic Hamiltonians
- Equilibration and GGE in interacting-to-free Quantum Quenches in dimensions d>1
- Quenches from gaussian bosons to Tonks-Girardeau gas: stationary states and effects of a confining potential
- Large-N ground state of the Lieb-Liniger model and Yang-Mills theory on a two-sphere
- Integrability breaking in the one dimensional Bose gas: Atomic losses and energy loss
- Quantum Quench in Non-relativistic Fermionic Field Theory: Harmonic traps and 2d String Theory
- Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model
- General finite-size effects for zero-entropy states in one-dimensional quantum integrable models
- Quantum quench dynamics of the attractive one-dimensional Bose gas via the coordinate Bethe ansatz
- Suppression and Control of Pre-thermalization in Multi-component Fermi Gases Following a Quantum Quench
- Interplay of Solitons and Radiation in One-Dimensional Bose Gases
- Quantum Revivals in Conformal Field Theories in Higher Dimensions
- Exact results of dynamical structure factor of Lieb-Liniger model
- Quench between a Mott insulator and a Lieb-Liniger liquid
- Relaxation of Shannon entropy for trapped interacting bosons with dipolar interactions
- Entanglement entropy in inhomogeneous quenches in AdS/CFT
- Generalized thermalization for integrable system under quantum quench
- Exact spectral function of the Tonks-Girardeau gas at finite temperature
- Finite temperature single-particle Green's function in the Lieb-Liniger model
- On computing non-equilibrium dynamics following a quench
- Theoretical study on thermalization in isolated quantum systems