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 (48)
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
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- What is an integrable quench?
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- 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
- Pre-relaxation in weakly interacting models
- Failure of the Generalized Eigenstate Thermalization Hypothesis in integrable models with multiple particle species
- Local and Quasilocal Conserved Quantities in Integrable Systems
- Exact solution for the quench dynamics of a nested integrable system
- 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
- 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
- Charges and currents in quantum spin chains: late-time dynamics and spontaneous currents
- Interaction quench in a trapped one-dimensional Bose gas
- Quasi locality of the GGE in interacting-to-free quenches in relativistic field theories
- Approximate light cone effects in a non-relativistic quantum field theory after a local quench
- 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
- Prethermalization from a low-density Holstein-Primakoff expansion
- 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
- Exact asymptotics of the current in boundary dissipated quantum chains in large external fields
- Thermodynamics of two-dimensional spin models with bimodal random-bond disorder
- Numerical linked cluster expansions for quantum quenches in one dimensional lattices
- Temporal decay of Neel order in the one-dimensional Fermi-Hubbard model
- General finite-size effects for zero-entropy states in one-dimensional quantum integrable models
- Thermalization away from Integrability and the Role of Operator Off-Diagonal Elements
- Generalized eigenstate typicality in translation-invariant quasifree fermionic models
- Towards a Non-equilibrium Bethe ansatz for the Kondo Model
- Entanglement Pre-thermalization in an Interaction Quench between Two Harmonic Oscillators
- Small quenches and thermalization
- Effective temperature from fluctuation-dissipation theorem in systems with bipartite eigenmode entanglement