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arXiv 1707.09591quant-phcond-mat.stat-mech
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量子相干性对功统计的影响

Effects of Quantum Coherence on Work Statistics

Bao-Ming Xu, Jian Zou, Li-Sha Guo, Xiang-Mu Kong

摘要:

在传统的量子热力学两点测量方案中,量子相干性被第一次测量破坏。但是我们知道,相干性在量子热力学过程中确实起着重要的作用,如何描述量子相干过程的功统计仍然是一个悬而未决的问题。本文利用全计数统计方法研究了量子相干性对工作统计的影响。首先,我们给出了一个一般性的讨论,并表明,对于一个量子相干过程,工作统计是非常不同的两点测量方案,具体地说,平均功增加或减少,工作涨落可以通过量子相干性,这强烈地依赖于相对相位,能级结构和外部协议。然后,我们具体考虑了一维淬火横向伊辛模型,证明了量子相干性对铁磁区的功统计比顺磁区的功统计有更显著的影响,从而说明由于量子相干性的存在,即使在高温下,功统计也能表现出临界现象.

英文摘要:

In the conventional two-point measurement scheme of quantum thermodynamics, quantum coherence is destroyed by the first measurement. But as we know the coherence really plays an important role in the quantum thermodynamics process, and how to describe the work statistics for a quantum coherent process is still an open question. In this paper, we use the full counting statistics method to investigate the effects of quantum coherence on work statistics. First, we give a general discussion and show that for a quantum coherent process, work statistics is very different from that of the two-point measurement scheme, specifically the average work is increased or decreased and the work fluctuation can be decreased by quantum coherence, which strongly depends on the relative phase, the energy level structure and the external protocol. Then, we concretely consider a quenched 1-D transverse Ising model, and show that quantum coherence has a more significant influence on work statistics in the ferromagnetism regime compared with that in the paramagnetism regime, so that due to the presence of quantum coherence the work statistics can exhibit the critical phenonmenon even at high temperature.

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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