论文标题

张开的多体量子系统的时间松弛

Temporal relaxation of gapped many-body quantum systems

论文作者

Reimann, Peter, Balz, Ben N., Richter, Jonas, Steinigeweg, Robin

论文摘要

正交动力学(TOD)的典型性是在孤立的多体量子系统中的时间松弛过程的一般特征。在最简单的情况下,基本思想是,瞬态非平衡行为主要受时期系统状态与初始状态平行的组件的控制,而正交组件从开始时如下平衡。主要的重点是在很大程度上没有探索的案例上,即一个能量水平的人口比其他所有能源大得多。重要的例子是在低能量下的多体系统,例如由于量子淬灭。得出了一般的分析预测,发现与各种数值确切的结果进行了很好的比较。

Typicality of the orthogonal dynamics (TOD) is established as a generic feature of temporal relaxation processes in isolated many-body quantum systems. The basic idea in the simplest case is that the transient non-equilibrium behavior is mainly governed by the component of the time-evolved system state parallel to the initial state, while the orthogonal component appears as equilibrated right from the beginning. The main emphasis is laid on the largely unexplored and particularly challenging case that one energy level exhibits a much larger population than all the others. Important examples are gapped many-body systems at low energies, for instance due to a quantum quench. A general analytical prediction is derived and is found to compare very well with various numerically exact results.

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