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arXiv quant-ph/0311157quant-ph
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量子热机、第二定律和麦克斯韦守护进程

Quantum Heat Engines, the Second Law and Maxwell's Daemon

Tien D. Kieu

摘要:

介绍了一类量子热机,它由最简单的量子力学系统--双能量本征态系统组成,在循环的不同阶段分别经历量子绝热过程和与热浴的能量交换.有了这类热机和在量子水平上对热传递和功的一些解释,我们就能够澄清热力学第二定律的一些重要方面。特别是,热源比散热器热是不够的,但在通过发动机提取任何功之前,在较热的热源和较冷的散热器之间必须有最小的温差。这个最小温差的大小取决于所涉及的量子引擎的能隙。我们的新量子热机也提供了一种实用的方法,作为Szilard发动机的替代品,在物理上实现麦克斯韦的守护进程。受拉比振荡的启发和激励,我们进一步引入了一些修改的量子热机与单模腔,以,同时尊重第二定律,提取更多的工作,从热浴比否则可能在热平衡。上述结果也可推广到无限多个能级的量子热机,包括一维简谐振子和一维无限方阱。

英文摘要:

We introduce a class of quantum heat engines which consists of two-energy-eigenstate systems, the simplest of quantum mechanical systems, undergoing quantum adiabatic processes and energy exchanges with heat baths, respectively, at different stages of a cycle. Armed with this class of heat engines and some interpretation of heat transferred and work performed at the quantum level, we are able to clarify some important aspects of the second law of thermodynamics. In particular, it is not sufficient to have the heat source hotter than the sink, but there must be a minimum temperature difference between the hotter source and the cooler sink before any work can be extracted through the engines. The size of this minimum temperature difference is dictated by that of the energy gaps of the quantum engines involved. Our new quantum heat engines also offer a practical way, as an alternative to Szilard's engine, to physically realise Maxwell's daemon. Inspired and motivated by the Rabi oscillations, we further introduce some modifications to the quantum heat engines with single-mode cavities in order to, while respecting the second law, extract more work from the heat baths than is otherwise possible in thermal equilibria. Some of the results above are also generalisable to quantum heat engines of an infinite number of energy levels including 1-D simple harmonic oscillators and 1-D infinite square wells.

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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