Zangara Pablo R, Dente Axel D, Torres-Herrera E J, Pastawski Horacio M, Iucci Aníbal, Santos Lea F
Instituto de Física Enrique Gaviola, CONICET-UNC, Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, 5000 Córdoba, Argentina.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Sep;88(3):032913. doi: 10.1103/PhysRevE.88.032913. Epub 2013 Sep 23.
Numerically, we study the time fluctuations of few-body observables after relaxation in isolated dynamical quantum systems of interacting particles. Our results suggest that they decay exponentially with system size in both regimes, integrable and chaotic. The integrable systems considered are solvable with the Bethe ansatz and have a highly nondegenerate spectrum. This is in contrast with integrable Hamiltonians mappable to noninteracting ones. We show that the coefficient of the exponential decay depends on the level of delocalization of the initial state with respect to the energy shell.
在数值上，我们研究了相互作用粒子的孤立动态量子系统弛豫后少体可观测量的时间涨落。我们的结果表明，在可积和混沌这两种情况下，它们都随系统大小呈指数衰减。所考虑的可积系统可用贝塞耳假设求解，且具有高度非简并的能谱。这与可映射到非相互作用哈密顿量的可积哈密顿量形成对比。我们表明，指数衰减系数取决于初始态相对于能壳的离域化程度。
