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arXiv quant-ph/0511225quant-phcond-mat.stat-mech
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纠缠态的统计力学基础:单个态与平均值

The foundations of statistical mechanics from entanglement: Individual states vs. averages

Sandu Popescu, Anthony J. Short, Andreas Winter

摘要:

我们考虑另一种方法的基础统计力学,其中主观随机性,整体平均或时间平均是不需要的。相反,宇宙(即系统与足够大的环境)处于受全局约束的量子纯态,热化是系统与环境之间纠缠的结果。我们制定并证明了“一般正则原理”,它指出,该系统将热化的几乎所有纯态的宇宙,并提供严格的定量界限使用利维引理。

英文摘要:

We consider an alternative approach to the foundations of statistical mechanics, in which subjective randomness, ensemble-averaging or time-averaging are not required. Instead, the universe (i.e. the system together with a sufficiently large environment) is in a quantum pure state subject to a global constraint, and thermalisation results from entanglement between system and environment. We formulate and prove a "General Canonical Principle", which states that the system will be thermalised for almost all pure states of the universe, and provide rigorous quantitative bounds using Levy's Lemma.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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