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 language||English (US)|
|State||Published - Nov 2012|
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics
- Mathematical Physics
- Condensed Matter Physics