Eigenstate thermalization within isolated spin-chain systems
arXiv:1208.6143 · doi:10.1103/PhysRevE.87.012118
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.
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Cited by in corpus (10)
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- Off-diagonal matrix elements of local operators in many-body quantum systems
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- 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