Fluctuations in the delocalization level of eigenstates and thermalization

被引：1

作者：

Santos, Lea F. ^{[1
]}

Rigol, Marcos ^{[2
]}

机构：

[1] Yeshiva Univ, Dept Phys, New York, NY 10016 USA

[2] Georgetown Univ, Dept Phys, Washington, DC 20057 USA

来源：

PHYSICA SCRIPTA | 2012年 / T151卷

基金：

美国国家科学基金会;

关键词：

FINITE FERMI SYSTEMS; NUCLEAR SHELL-MODEL; RANDOM-MATRIX MODEL; QUANTUM-SYSTEMS; CONSERVATIVE-SYSTEMS; PARTICLE-SYSTEMS; ERGODIC THEOREM; H-THEOREM; CHAOS; MECHANICS;

D O I：

10.1088/0031-8949/2012/T151/014033

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：5

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