2011/10/20 by Lea F. Santos, L. F. Santos, F. Borgonovi +1
Physics and Astronomy · #Opinion Dynamics and Social Influence #Quantum chaos and dynamical systems #Quantum many-body systems #cond-mat.dis-nn #cond-mat.mes-hall #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physrevlett.108.094102
published as Phys. Rev. Lett., 108 (2012) 094102 · 5 pages, 5 figures
arxiv created 2011/10/20 · openalex publication_date 2012/03/01 · arxiv updated 2012/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the transition to chaos and the emergence of statistical relaxation in isolated dynamical quantum systems of interacting particles. Our approach is based on the concept of delocalization of the eigenstates in the energy shell, controlled by the Gaussian form of the strength function. We show that, although the fluctuations of the energy levels in integrable and nonintegrable systems are different, the global properties of the eigenstates are quite similar, provided the interaction between particles exceeds some critical value. In this case, the statistical relaxation of the systems is comparable, irrespective of whether or not they are integrable. The numerical data for the quench dynamics manifest excellent agreement with analytical predictions of the theory developed for systems of two-body interactions with a completely random character.