Quantum chaos and thermalization in gapped systems

Marcos Rigol, Lea F. Santos

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82 Scopus citations

Abstract

We investigate the onset of thermalization and quantum chaos in finite one-dimensional gapped systems of hard-core bosons. Integrability in these systems is broken by next-nearest-neighbor repulsive interactions, which also generate a superfluid to insulator transition. By employing full exact diagonalization, we study chaos indicators and few-body observables. We show that with increasing system size, chaotic behavior is seen over a broader range of parameters and, in particular, deeper into the insulating phase. Concomitantly, we observe that, as the system size increases, the eigenstate thermalization hypothesis extends its range of validity inside the insulating phase and is accompanied by the thermalization of the system.

Original languageEnglish (US)
Article number011604
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume82
Issue number1
DOIs
StatePublished - Jul 9 2010

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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