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Cited by 368

The DOI matches its Crossref record; 48 of the 48 references it cites were found in a registry or an index.

Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization

Open access
Santos, Lea F., Rigol, Marcos·2010·Physical Review E
DOI 10.1103/physreve.81.036206
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Abstract

By means of full exact diagonalization, we study level statistics and the structure of the eigenvectors of one-dimensional gapless bosonic and fermionic systems across the transition from integrability to quantum chaos. These systems are integrable in the presence of only nearest-neighbor terms, whereas the addition of next-nearest-neighbor hopping and interaction may lead to the onset of chaos. We show that the strength of the next-nearest-neighbor terms required to observe clear signatures of nonintegrability is inversely proportional to the system size. Interestingly, the transition to chaos is also seen to depend on particle statistics, with bosons responding first to the integrability breaking terms. In addition, we discuss the use of delocalization measures as main indicators for the crossover from integrability to chaos and the consequent viability of quantum thermalization in isolated systems.

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Metadata

Authors
Santos, L. F., & Rigol, M.
Venue
Physical Review E
Publisher
American Physical Society (APS)
Published
2010-03-05
Volume
81
Issue
3
Pages
036206-036206
ISSN
  • 1539-3755 (ISSN-L)
  • 1550-2376
DOI
10.1103/physreve.81.036206
OpenAlex
W2000628151
Cited by
368
References
48
FWCI
8.79
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization. https://app.cochat.ai/papers/10.1103/physreve.81.036206
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Santos, L. F., & Rigol, M. (2010). Onset of quantum chaos in one-dimensional bosonic and fermionic systems and its relation to thermalization. Physical Review E. https://doi.org/10.1103/physreve.81.036206

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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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