Leggett-Garg Inequalities for Quantum Fluctuating Work.

Leggett-Garg Inequalities for Quantum Fluctuating Work.
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DOI:
10.3390/e20030200
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发表时间:
2018-03-16
期刊:
Entropy (Basel, Switzerland)
影响因子:
--
通讯作者:
Anders J
Anders J
中科院分区:
其他
文献类型:
--
作者:
Miller HJD;Anders J

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莱格特-加格不等式用来检验量子在时间上的相关性是否可以在经典的宏观现实主义框架内解释。我们将此检验应用于热力学,并导出了一组在时间单驱动的量子系统上所做的波动功的统计的Leggett-Garg不等式。在一个驱动的两能级系统中,这些不等式可以被打破,从而证明不存在量子功的一般宏观现实描述。这些违规现象出现在标准的双投影测量方案以及基于弱测量的波动功的其他定义中。我们的研究结果阐明了时间相关性对量子状态下功提取的影响,并强调了量子热力学与经典热力学之间的关键区别。
The Leggett-Garg inequalities serve to test whether or not quantum correlations in time can be explained within a classical macrorealistic framework. We apply this test to thermodynamics and derive a set of Leggett-Garg inequalities for the statistics of fluctuating work done on a quantum system unitarily driven in time. It is shown that these inequalities can be violated in a driven two-level system, thereby demonstrating that there exists no general macrorealistic description of quantum work. These violations are shown to emerge within the standard Two-Projective-Measurement scheme as well as for alternative definitions of fluctuating work that are based on weak measurement. Our results elucidate the influences of temporal correlations on work extraction in the quantum regime and highlight a key difference between quantum and classical thermodynamics.
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