摘要翻译:
对于一个处于未知纯态的宏观孤立量子系统,在一般平衡和非平衡条件下,任何给定的可观测量的期望值几乎不偏离系综平均值,且概率极高。特别关注系统状态的不可控微观细节。对于弱耦合于大热浴的子系统,正则系综的恢复是在比通常平衡状态下复合体系的微正则描述所隐含的更普遍和现实的假设下进行的。
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英文标题:
《Typicality for Generalized Microcanonical Ensembles》
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作者:
Peter Reimann
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
For a macroscopic, isolated quantum system in an unknown pure state, the expectation value of any given observable is shown to hardly deviate from the ensemble average with extremely high probability under generic equilibrium and nonequilibrium conditions. Special care is devoted to the uncontrollable microscopic details of the system state. For a subsystem weakly coupled to a large heat bath, the canonical ensemble is recovered under much more general and realistic assumptions than those implicit in the usual microcanonical description of the composite system at equilibrium.
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PDF链接:
https://arxiv.org/pdf/710.4214