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Entanglement and thermodynamics after a quantum quench in integrable systems
Open accessAbstract
Significance: Understanding how statistical ensembles arise from the out-of-equilibrium dynamics of isolated pure systems has been a fascinating question since the early days of quantum mechanics. Recently, it has been proposed that the thermodynamic entropy of the long-time statistical ensemble is the stationary entanglement of a large subsystem in an infinite system. Here, we combine this concept with the quasiparticle picture of the entanglement evolution and integrability-based knowledge of the steady state to obtain exact analytical predictions for the time evolution of the entanglement in arbitrary 1D integrable models. These results explicitly show the transformation between the entanglement and thermodynamic entropy during the time evolution. Thus, entanglement is the natural witness for the generalized microcanonical principle underlying relaxation in integrable models.
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Cites
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Hydrodynamic Diffusion in Integrable Systems
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Metadata
- Authors
- Alba, V., & Calabrese, P.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 2017-07-11
- Volume
- 114
- Issue
- 30
- Pages
- 7947-7951
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2486166576
- Cited by
- 487
- References
- 9
- FWCI
- 22.39
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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