标题： 相互作用玻色子热化过程中的关联出现 显示英文标题

标题： Emergence of correlations in the process of thermalization of interacting bosons

摘要： 我们探讨了热化在孤立系统中具有有限数量相互作用玻色子的淬火动力学中相关性增加中的相关性问题。 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，从而导致玻色-爱因斯坦分布的出现。 我们通过分析和数值计算表明，在饱和之前，两点相关函数随时间二次增加。 这种时间依赖性与最近在参考文献\cite{BIS18}中发现并解释的波函数主成分数量的指数增长相矛盾。 我们还证明，非时序相关函数（OTOC）随时间代数增长，而不是如许多出版物所预测的指数增长。 我们的结果可以在含有相互作用玻色子的陷阱中进行实验验证，也可能与黑洞混乱问题相关。 显示英文摘要

摘要： We address the question of the relevance of thermalization 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. We show, both analytically and numerically, that before saturation the two-point correlation function increases quadratically in time. This time dependence is at variance with the exponential increase of the number of principal components of the wave function, recently discovered and explained in Ref.\cite{BIS18}. We also demonstrate that the out-of-time-order correlator (OTOC) increases algebraically in time but not exponentially as predicted in many publications. Our results, that can be confirmed experimentally in traps with interacting bosons, may be also relevant to the problem of black hole scrambling.