Temperature of a single chaotic eigenstate
arXiv:1608.01469 · doi:10.1103/PhysRevE.95.042135
Abstract
The onset of thermalization in a closed finite system of randomly interacting bosons, at the level of a single eigenstate, is discussed. The main interest is in the emergence of the Bose-Einstein distribution of single-particle occupation numbers, establishing a global and local criterion for thermalization. We show how to define the temperature of a given eigenstate, provided that it has a chaotic structure in the basis defined by single-particle states. The analytical expression for the eigenstate temperature as a function of the inter-particle interaction and energy is complemented by numerical data.
9 pages 9 figures
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- Temperature as a quantum observable
- Quantum-classical correspondence of strongly chaotic many-body spin models
- Hidden thermal structure in Fock space
- Localized Thermal States
- Eigenstate thermalization and disappearance of quantum many-body scar states in interacting fermion systems
- Internal temperature of quantum chaotic systems at the nanoscale and its detection by a microscopic thermometer
- New equilibrium ensembles for isolated quantum systems
- Metastability, chaos and spectrum tomography for Bose-Hubbard rings and chains