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Absence of Thermalization in Nonintegrable Systems

Open access
Gogolin, Christian, Müller, Markus P., Eisert, Jens·2011·Physical Review Letters

Abstract

We establish a link between unitary relaxation dynamics after a quench in closed many-body systems and the entanglement in the energy eigenbasis. We find that even if reduced states equilibrate, they can have memory on the initial conditions even in certain models that are far from integrable. We show that in such situations the equilibrium states are still described by a maximum entropy or generalized Gibbs ensemble, regardless of whether a model is integrable or not, thereby contributing to a recent debate. In addition, we discuss individual aspects of the thermalization process, comment on the role of Anderson localization, and collect and compare different notions of integrability.

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Metadata

Authors
Gogolin, C., Müller, M. P., & Eisert, J.
Venue
Physical Review Letters
Published
2011-01-24
Volume
106
Issue
4
Pages
040401-040401
ISSN
  • 0031-9007 (ISSN-L)
  • 1079-7114
OpenAlex
W2077346744
Cited by
270
References
4
FWCI
17.38
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Absence of Thermalization in Nonintegrable Systems. https://app.cochat.ai/papers/10.1103/physrevlett.106.040401
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Gogolin, C., Müller, M. P., & Eisert, J. (2011). Absence of Thermalization in Nonintegrable Systems. Physical Review Letters. https://doi.org/10.1103/physrevlett.106.040401

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.