The DOI matches its Crossref record; 34 of the 34 references it cites were found in a registry or an index.
Exact Relaxation in a Class of Nonequilibrium Quantum Lattice Systems
Open accessAbstract
A reasonable physical intuition in the study of interacting quantum systems says that, independent of the initial state, the system will tend to equilibrate. In this work we introduce an experimentally accessible setting where relaxation to a steady state is exact, namely, for the Bose-Hubbard model quenched from a Mott quantum phase to the free strong superfluid regime. We rigorously prove that the evolving state locally relaxes to a steady state with maximum entropy constrained by second moments--thus maximizing the entanglement. Remarkably, for this to be true, no time average is necessary. Our argument includes a central limit theorem and exploits the finite speed of information transfer. We also show that for all periodic initial configurations (charge density waves) the system relaxes locally, and identify experimentally accessible signatures in optical lattices as well as implications for the foundations of statistical mechanics.
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Cites
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Cited by
Colloquium : Area laws for the entanglement entropy
Eisert, J., Cramer, M., & Plenio, M. B. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.277 · Cited by 2,873
Self-citationColloquium: Nonequilibrium dynamics of closed interacting quantum systems
Polkovnikov, A., Sengupta, K., Silva, A., & Vengalattore, M. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.863 · Cited by 2,562
From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
D'Alessio, L., Kafri, Y., Polkovnikov, A., & Rigol, M. (2016) · Advances in Physics · doi:10.1080/00018732.2016.1198134 · Cited by 2,330
Quantum many-body systems out of equilibrium
Eisert, J., Friesdorf, M., & Gogolin, C. (2015) · Nature Physics · doi:10.1038/nphys3215 · Cited by 1,255
Self-citationTrotzky, S., Chen, Y.-A., Flesch, A., McCulloch, I. P., Schollwöck, U., Eisert, J., & Bloch, I. (2012) · Nature Physics · doi:10.1038/nphys2232 · Cited by 1,058
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Metadata
- Authors
- Cramer, M., Dawson, C. M., Eisert, J., & Osborne, T. J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-01-24
- Volume
- 100
- Issue
- 3
- Pages
- 030602-030602
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2066867649
- Cited by
- 462
- References
- 34
- FWCI
- 19.92
- Type
- journal article
- Language
- en
- Open access
- green
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- Cramer, M., Dawson, C. M., Eisert, J., & Osborne, T. J. (2008). Exact Relaxation in a Class of Nonequilibrium Quantum Lattice Systems. Physical Review Letters. https://doi.org/10.1103/physrevlett.100.030602
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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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