Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
arXiv:1405.0172 · doi:10.1103/PhysRevLett.113.117202
Abstract
We study quenches in integrable spin-1/2 chains in which we evolve the ground state of the antiferromagnetic Ising model with the anisotropic Heisenberg Hamiltonian. For this nontrivially interacting situation, an application of the first-principles-based quench action method allows us to give an exact description of the postquench steady state in the thermodynamic limit. We show that a generalized Gibbs ensemble, implemented using all known local conserved charges, fails to reproduce the exact quench action steady state and to correctly predict postquench equilibrium expectation values of physical observables. This is supported by numerical linked-cluster calculations within the diagonal ensemble in the thermodynamic limit.
14 pages, 3 figures, including supplementary material [from v3: figures updated and corrected, author added]
References in corpus (18)
- Thermalization and its mechanism for generic isolated quantum systems
- Quantum Quench in the Transverse Field Ising Chain
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Dephasing and the steady state in quantum many-particle systems
- Strong and weak thermalization of infinite non-integrable quantum systems
- Generalized Thermalization in an Integrable Lattice System
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Effective thermal dynamics following a quantum quench in a spin chain
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- Relaxation of antiferromagnetic order in spin-1/2 chains following a quantum quench
- Numerical Linked-Cluster Approach to Quantum Lattice Models
- Long time dynamics following a quench in an integrable quantum spin chain: local versus non-local operators and effective thermal behavior
- Generalized TBA and generalized Gibbs
- Numerical Linked-Cluster Algorithms. I. Spin systems on square, triangular, and kagome lattices
- Quantum relaxation after a quench in systems with boundaries
- Relaxation dynamics in the gapped XXZ spin-1/2 chain
- Initial state dependence of the quench dynamics in integrable quantum systems. II. Thermal states
- Initial state dependence of the quench dynamics in integrable quantum systems. III. Chaotic states
Cited by in corpus (91)
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- "Light-cone" dynamics after quantum quenches in spin chains
- What is an integrable quench?
- Ergodicity Breaking Transition in Finite Disordered Spin Chains
- Generalized Gibbs Ensembles for Quantum Field Theories
- Eigenstate thermalization hypothesis (ETH) and integrability in quantum spin chains
- Quantum quench in the sine-Gordon model
- From Interacting Particles to Equilibrium Statistical Ensembles
- Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
- Thermalization and light cones in a model with weak integrability breaking
- Quench action approach for releasing the Néel state into the spin-1/2 XXZ chain
- Stationary states in a free fermionic chain from the Quench Action Method
- From the Quantum Transfer Matrix to the Quench Action: The Loschmidt echo in Heisenberg spin chains
- Correlations and diagonal entropy after quantum quenches in XXZ chains
- On the theory of quantum quenches in near-critical systems
- Nonequilibrium Full Counting Statistics and Symmetry-Resolved Entanglement from Space-Time Duality
- Pre-relaxation in weakly interacting models
- Local and Quasilocal Conserved Quantities in Integrable Systems
- Failure of the Generalized Eigenstate Thermalization Hypothesis in integrable models with multiple particle species
- Exact solution for the quench dynamics of a nested integrable system
- Quantum quenches and Generalized Gibbs Ensemble in a Bethe Ansatz solvable lattice model of interacting bosons
- Analytical expression for a post-quench time evolution of the one-body density matrix of one-dimensional hard-core bosons
- Perturbative approach to weakly driven many-particle systems in the presence of approximate conservation laws
- Quantum quenches and many-body localization in the thermodynamic limit
- Combining Dynamical Quantum Typicality and Numerical Linked Cluster Expansions
- Charges and currents in quantum spin chains: late-time dynamics and spontaneous currents
- Generalized Deep Thermalization for Free Fermions
- Interaction quench in a trapped one-dimensional Bose gas
- 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
- Non-equilibrium quantum relaxation across a localization-delocalization transition
- Thermalization without eigenstate thermalization hypothesis after a quantum quench
- Quasilocal charges and progress towards the complete GGE for field theories with non-diagonal scattering
- Quantum simulation of thermodynamics in an integrated quantum photonic processor
- Prethermalization from a low-density Holstein-Primakoff expansion
- Generalized hydrodynamics, quasiparticle diffusion, and anomalous local relaxation in random integrable spin chains
- Quantum quench in the attractive regime of the sine-Gordon model
- Non-monotonic response and light-cone freezing in gapless-to-(partially) gapped quantum quenches of fermionic systems
- Spectral properties of one-dimensional Fermi systems after an interaction quench
- Quantum quenches in the thermodynamic limit. II. Initial ground states
- Quantum Quench in the Infinitely Repulsive Hubbard Model: the Stationary State
- Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
- Proof of absence of local conserved quantities in the mixed-field Ising chain
- Real-Time Evolution in the Hubbard Model with Infinite Repulsion
- On exact overlaps for symmetric spin chains
- Integrable quenches in the Hubbard model
- Exact asymptotics of the current in boundary dissipated quantum chains in large external fields
- Solution of the BEC to BCS Quench in One Dimension
- Numerical linked cluster expansions for quantum quenches in one dimensional lattices
- Thermodynamics of two-dimensional spin models with bimodal random-bond disorder
- Temporal decay of Neel order in the one-dimensional Fermi-Hubbard model
- Generalized thermalization in quantum-chaotic quadratic Hamiltonians
- Thermalization of non-Fermi-liquid electron-phonon systems: Hydrodynamic relaxation of the Yukawa-Sachdev-Ye-Kitaev model
- Quantum quench dynamics in the transverse-field Ising model: A numerical expansion in linked rectangular clusters
- Integrability breaking in the one dimensional Bose gas: Atomic losses and energy loss
- Numerical linked cluster expansions for inhomogeneous systems
- General finite-size effects for zero-entropy states in one-dimensional quantum integrable models
- Global Quenches after Localised Perturbations
- Full Counting Statistics of Charge in Quenched Quantum Gases
- Normal weak eigenstate thermalization
- Thermalization away from Integrability and the Role of Operator Off-Diagonal Elements
- Entanglement witnesses in the XY chain: Thermal equilibrium and postquench nonequilibrium states
- Approximating the long time average of the density operator: Diagonal ensemble
- Generalized eigenstate typicality in translation-invariant quasifree fermionic models
- All Local Conserved Quantities of the One-Dimensional Hubbard Model
- Transport and entanglement across integrable impurities from Generalized Hydrodynamics
- All local conserved quantities of the XXZ model
- Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles
- Power-law decay of correlations after a global quench in the massive XXZ chain
- Integrable Crosscap States: From Spin Chains to 1D Bose Gas
- Generalized Gibbs Ensemble and string-charge relations in nested Bethe Ansatz
- Towards a Non-equilibrium Bethe ansatz for the Kondo Model
- Entanglement Pre-thermalization in an Interaction Quench between Two Harmonic Oscillators
- Generalized hydrodynamics of integrable quantum circuits
- Relaxation dynamics of integrable field theories after a global quantum quench
- Dynamical fermionization in one-dimensional spinor gases at finite temperature
- Many-body localization and delocalization dynamics in the thermodynamic limit
- Key Observable for Linear Thermalization
- Entanglement Propagation in Integrable Heisenberg Chains from a New Lens
- Small quenches and thermalization
- Nonlocality as the source of purely quantum dynamics of BCS superconductors
- L-based numerical linked cluster expansion for square lattice models
- Quantum dynamics of Gaudin magnets
- Anomalous charge transport in the sine-Gordon model
- Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement
- Entanglement of Stationary States in the Presence of Unstable Quasiparticles
- Thermodynamic symmetry resolved entanglement entropies in integrable systems
- Effects of intertube dipole-dipole interactions in nearly integrable one-dimensional Dy gases
- Theoretical study on thermalization in isolated quantum systems
- Generalized Gibbs Ensemble from Eigenstate Entanglement Hamiltonian