Eigenstate thermalization within isolated spin-chain systems

Abstract

The thermalization phenomenon and many-body quantum statistical properties are studied on the example of several observables in isolated spin-chain systems, both integrable and generic non-integrable ones. While diagonal matrix elements for non-integrable models comply with the eigenstate thermalization hypothesis (ETH), the integrable systems show evident deviations and similarity to properties of noninteracting many-fermion models. The finite-size scaling reveals that the crossover between two regimes is given by a scale closely related to the scattering length. Low-frequency off-diagonal matrix elements related to d.c. transport quantities in a generic system also follow the behavior analogous to the ETH, however unrelated to the one of diagonal elements.

References in corpus (7)

• Thermalization and its mechanism for generic isolated quantum systems
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Breakdown of thermalization in finite one-dimensional systems
• Generalized Thermalization in an Integrable Lattice System
• Heat conduction in low-dimensional quantum magnets
• Dynamics of thermalisation in small Hubbard-model systems
• Spin hydrodynamics in the S = 1/2 anisotropic Heisenberg chain

Cited by in corpus (10)

• Many body localization and thermalization in quantum statistical mechanics
• Off-diagonal matrix elements of local operators in many-body quantum systems
• Eigenstate thermalization hypothesis (ETH) and integrability in quantum spin chains
• Relaxation and thermalization in the one-dimensional Bose-Hubbard model: A case study for the interaction quantum quench from the atomic limit
• Global characteristics of all eigenstates of local many-body Hamiltonians: participation ratio and entanglement entropy
• Spin and energy currents in integrable and nonintegrable spin-1/2 chains: A typicality approach to real-time autocorrelations
• Local and Quasilocal Conserved Quantities in Integrable Systems
• Relevance of the eigenstate thermalization hypothesis for thermal relaxation
• Quantum quenches and many-body localization in the thermodynamic limit
• Temporal decay of Neel order in the one-dimensional Fermi-Hubbard model