Fluctuations in the delocalization level of eigenstates and thermalization

Lea F. Santos, Marcos Rigol

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Using full exact diagonalization, we study the transition to chaos in one-dimensional gapless bosonic and fermionic systems. We show that the strength of the integrability-breaking term required for the emergence of a Wigner-Dyson distribution and for reduced fluctuations of delocalization measures decreases with system size. We discuss how these results relate to the onset of thermalization in isolated quantum many-body systems.

Original languageEnglish (US)
Article number014033
JournalPhysica Scripta
Issue numberT151
StatePublished - Nov 2012

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Condensed Matter Physics


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