论文标题

量子猫状态的平衡

Equilibration of quantum cat states

论文作者

Jin, Tony

论文摘要

我们研究了最初以猫状态制备的分离的千古量子系统的平衡性能,即状态的宏观量子叠加。我们的主要结果包括表明,即使在平均值中起作用,但仍存在着在稳态波动的强度下可见的初始量子相干的残余。我们以沿XXX自旋链获得的数值结果备份分析,沿着沿着Z轴的Z轴随机场在沿着沿着沿着千古的状态中获得,并与该理论找到了良好的定性和定量一致性。我们还提出并讨论一个框架,在该框架中,可以从一般统计集合中计算平衡量,而不依赖于初始状态的显微镜细节,类似于特征态热假说。

We study the equilibration properties of isolated ergodic quantum systems initially prepared in a cat state, i.e a macroscopic quantum superposition of states. Our main result consists in showing that, even though decoherence is at work in the mean, there exists a remnant of the initial quantum coherences visible in the strength of the fluctuations of the steady state. We back-up our analysis with numerical results obtained on the XXX spin chain with a random field along the z-axis in the ergodic regime and find good qualitative and quantitative agreement with the theory. We also present and discuss a framework where equilibrium quantities can be computed from general statistical ensembles without relying on microscopic details about the initial state, akin to the eigenstate thermalization hypothesis.

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