Dipartimento di Matematica e Fisica and Interdisciplinary Laboratories for Advanced Materials Physics, Università Cattolica, Via Musei 41, 25121 Brescia, Italy.
Istituto Nazionale di Fisica Nucleare, Sezione di Pavia, Via Bassi 6, 27100 Pavia, Italy.
Phys Rev E. 2019 Jan;99(1-1):012115. doi: 10.1103/PhysRevE.99.012115.
We address the question of the relevance of thermalization and scrambling to the increase of correlations in the quench dynamics of an isolated system with a finite number of interacting bosons. Specifically, we study how, in the process of thermalization, the correlations between occupation numbers increase in time, resulting in the emergence of the Bose-Einstein distribution. Despite the exponential increase of the number of principal components of the wave function, we show, both analytically and numerically, that the two-point correlation function before saturation increases quadratically in time according to perturbation theory. In contrast, we find that the out-of-time-order correlator increases algebraically and not exponentially in time after the perturbative regime and before the saturation. Our results can be confirmed experimentally in traps with interacting bosons and they may be relevant to the problem of black hole scrambling.
我们研究了热化和混叠对有限相互作用玻色子孤立系统淬火动力学中相关性增加的相关性。具体来说，我们研究了在热化过程中，占据数之间的相关性如何随时间增加，导致玻色-爱因斯坦分布的出现。尽管波函数的主分量的数量呈指数增长，但我们通过分析和数值方法表明，根据微扰理论，两点相关函数在饱和之前随时间呈二次增加。相比之下，我们发现，在外时相关函数在微扰区之后和饱和之前，随时间呈代数而不是指数增加。我们的结果可以在具有相互作用玻色子的陷阱中得到实验验证，并且它们可能与黑洞混叠问题有关。
