摘要翻译:
一个开放量子系统的动力学可以用一个量子操作来描述,一个算子的线性完全正映射。在这里,我给出了一个量子操作的时间反转的紧致表达式,它与经典马尔可夫转移矩阵的时间反转非常相似。由于开放量子动力学是随机的,而不是一般的确定性的,所以时间反转一般不是动力学的反转。相反,系统在正向和反向时间方向上都朝着平衡放松。量子轨道和共轭时间反向轨道的概率与环境中的热交换有关。
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英文标题:
《Quantum Operation Time Reversal》
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作者:
Gavin E. Crooks
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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:Quantum Physics 量子物理学
分类描述:Description coming soon
描述即将到来
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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:
The dynamics of an open quantum system can be described by a quantum operation, a linear, complete positive map of operators. Here, I exhibit a compact expression for the time reversal of a quantum operation, which is closely analogous to the time reversal of a classical Markov transition matrix. Since open quantum dynamics are stochastic, and not, in general, deterministic, the time reversal is not, in general, an inversion of the dynamics. Rather, the system relaxes towards equilibrium in both the forward and reverse time directions. The probability of a quantum trajectory and the conjugate, time reversed trajectory are related by the heat exchanged with the environment.
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PDF链接:
https://arxiv.org/pdf/706.3749