高温下的随机积态指数平衡良好

arXiv - MATH - Mathematical Physics Pub Date : 2024-09-13 DOI:arxiv-2409.08436

Yichen Huang

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引用次数: 0

摘要

我们证明，除了度量为零的局部哈密顿集之外，在足够高但有限的温度下，从随机乘积态开始，具有压倒性概率期望值的观测值会趋于平衡，从而在足够长的时间内，围绕静止值的波动在系统规模上是指数级小的。

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Random product states at high temperature equilibrate exponentially well

We prove that for all but a measure zero set of local Hamiltonians, starting from random product states at sufficiently high but finite temperature, with overwhelming probability expectation values of observables equilibrate such that at sufficiently long times, fluctuations around the stationary value are exponentially small in the system size.

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arXiv - MATH - Mathematical Physics

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