Generalized eigenstate typicality in translation-invariant quasifree fermionic models
arXiv:1709.05569 · doi:10.1103/PhysRevB.97.035129
Abstract
We demonstrate a generalized notion of eigenstate thermalization for translation-invariant quasifree fermionic models: the vast majority of eigenstates satisfying a finite number of suitable constraints (e.g. fixed energy and particle number) have the property that their reduced density matrix on small subsystems approximates the corresponding generalized Gibbs ensemble. To this end, we generalize analytic results by Lai and Yang (Phys. Rev. B 91, 081110 (2015)) and illustrate the claim numerically by example of the Jordan-Wigner transform of the XX spin chain.
13 pages, 10 figures. v3: close to published version
References in corpus (34)
- Many-Body Physics with Ultracold Gases
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Area laws for the entanglement entropy - a review
- Many body localization and thermalization in quantum statistical mechanics
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- 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
- Quantum many-body systems out of equilibrium
- The foundations of statistical mechanics from entanglement: Individual states vs. averages
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Canonical Typicality
- Generalized Gibbs ensemble in integrable lattice models
- Quantum mechanical evolution towards thermal equilibrium
- Foundation of Statistical Mechanics under experimentally realistic conditions
- Complete Generalized Gibbs Ensemble in an interacting Theory
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Generalized Thermalization in an Integrable Lattice System
- Effect of Rare Fluctuations on the Thermalization of Isolated Quantum Systems
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Quasilocal charges in integrable lattice systems
- Hard-core bosons on optical superlattices: Dynamics and relaxation in the superfluid and insulating regimes
- Thermalization in Nature and on a Quantum Computer
- Pushing the limits of the eigenstate thermalization hypothesis towards mesoscopic quantum systems
- Eigenstate thermalization hypothesis (ETH) and integrability in quantum spin chains
- Eigenstate thermalization in the two-dimensional transverse field Ising model
- Entanglement Entropy of Eigenstates of Quadratic Fermionic Hamiltonians
- Relaxation and thermalization in the one-dimensional Bose-Hubbard model: A case study for the interaction quantum quench from the atomic limit
- Fluctuation Theorem for Many-Body Pure Quantum States
- Thermalization and canonical typicality in translation-invariant quantum lattice systems
- Entanglement Entropy Scaling Laws and Eigenstate Typicality in Free Fermion Systems
- Relevance of the eigenstate thermalization hypothesis for thermal relaxation
- Necessity of Eigenstate Thermalization
- Eigenstate Gibbs Ensemble in Integrable Quantum Systems
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- Out of Time Ordered Correlators and Entanglement Growth in the Random Field XX Spin Chain
- Bipartite entanglement entropy of the excited states of the free fermions and the harmonic oscillators
- Scaling at the OTOC Wavefront: free versus chaotic models
- Subsystem eigenstate thermalization hypothesis for translation invariant systems
- Breakdown of quantum-classical correspondence and dynamical generation of entanglement
- Operator thermalization vs eigenstate thermalization