Localization and the effects of symmetries in the thermalization properties of one-dimensional quantum systems

Lea F. Santos, Marcos Rigol

Research output: Contribution to journalArticle

115 Scopus citations

Abstract

We study how the proximity to an integrable point or to localization as one approaches the atomic limit, as well as the mixing of symmetries in the chaotic domain, may affect the onset of thermalization in finite one-dimensional systems. We consider systems of hard-core bosons at half-filling with nearest-neighbor hopping and interaction, and next-nearest-neighbor interaction. The latter breaks integrability and induces a ground-state superfluid to insulator transition. By full exact diagonalization, we study chaos indicators and few-body observables. We show that when different symmetry sectors are mixed, chaos indicators associated with the eigenvectors, contrary to those related to the eigenvalues, capture the onset of chaos. The results for the complexity of the eigenvectors and for the expectation values of few-body observables confirm the validity of the eigenstate thermalization hypothesis in the chaotic regime, and therefore the occurrence of thermalization. We also study the properties of the off-diagonal matrix elements of few-body observables in relation to the transition from integrability to chaos and from chaos to localization.

Original languageEnglish (US)
Article number031130
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume82
Issue number3
DOIs
StatePublished - Sep 23 2010

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Localization and the effects of symmetries in the thermalization properties of one-dimensional quantum systems'. Together they form a unique fingerprint.

  • Cite this