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arXiv 2007.00042quant-ph
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具有初始相干性的量子功统计

Quantum work statistics with initial coherence

María García Díaz, Giacomo Guarnieri, Mauro Paternostro

摘要:

两点测量法计算系统的热力学功时,要求系统初始处于平衡状态。其中,Margenau-Hill方案扩展了以前的方法,允许非平衡初始状态。我们建立了一个定量的比较两个计划中存在的系统的初始状态的相干性的量,量化的$l_1$-相干性措施。我们表明,两个第一时刻的工作,方差的工作和平均熵产生的两个计划之间的差异,可以铸造在这样的初始相干性。此外,我们还证明了在Margenau-Hill框架下平均熵产生可以取负值.

英文摘要:

The Two Point Measurement scheme for computing the thermodynamic work performed on a system requires it to be initially in equilibrium. The Margenau-Hill scheme, among others, extends the previous approach to allow for a non-equilibrium initial state. We establish a quantitative comparison between both schemes in terms of the amount of coherence present in the initial state of the system, as quantified by the $l_1$-coherence measure. We show that the difference between the two first moments of work, the variances of work and the average entropy production obtained in both schemes can be cast in terms of such initial coherence. Moreover, we prove that the average entropy production can take negative values in the Margenau-Hill framework.

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