From single-shot towards general work extraction in a quantum thermodynamic framework

From single-shot towards general work extraction in a quantum thermodynamic framework
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量子热力学框架中从单次到一般功提取

DOI:
10.1088/1367-2630/17/8/085006
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发表时间:
2015
影响因子:
3.3
通讯作者:
Gemmer J
Gemmer J
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Gemmer J

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本文考虑从量子系统到工作存储系统(或权重)的工作提取,遵循Horodecki和Oppenheim(2013 Nat. Commun. 4 2059)。这里开发了一种替代方法,该方法依赖于子空间维度的比较,而不需要引入先前使用的热优化。然后重新导出用于其中权重从(a)单个能级转移到另一个单个能级的过程的最佳单次工作。此外,我们还讨论了系统在提取功后的最终状态,表明系统通常在其热态结束,而有些情况下,系统只是接近它。现在提出的方法允许将单次发射工作概念扩展到涉及多个最终权重水平的工作提取(B)。这里的一个关键结论是,只有当需要特定能量的共振时,情况(a)的单次激发功才是合适的。当希望通过找到特定可用能量或任何更高能量中的权重来识别“功提取”时,需要拓宽单发功概念。作为最后的贡献,我们考虑系统的变换(c)导致一般的权重状态转移。引入转移量使我们能够在热力学框架内制定出所有可能的变换的最低要求。我们表明,选择的自由能差的重量作为转移量之一恢复各种单次拍摄的结果,包括单级转换(a),多个最终的水平转换(B),和最近的结果限制集的多级到多级的重量转移。
This paper considers work extraction from a quantum system to a work storage system (or weight) following Horodecki and Oppenheim (2013 Nat. Commun. 4 2059). An alternative approach is here developed that relies on the comparison of subspace dimensions without a need to introduce thermo-majorization used previously. Optimal single shot work for processes where a weight transfers from (a) a single energy level to another single energy level is then re-derived. In addition we discuss the final state of the system after work extraction and show that the system typically ends in its thermal state, while there are cases where the system is only close to it. The work of formation in the single level transfer setting is also re-derived. The approach presented now allows the extension of the single shot work concept to work extraction (b) involving multiple final levels of the weight. A key conclusion here is that the single shot work for case (a) is appropriate only when a resonance of a particular energy is required. When wishing to identify'work extraction'with finding the weight in a specific available energy or any higher energy a broadening of the single shot work concept is required. As a final contribution we consider transformations of the system that (c) result in general weight state transfers. Introducing a transfer-quantity allows us to formulate minimum requirements for transformations to be at all possible in a thermodynamic framework. We show that choosing the free energy difference of the weight as the transfer-quantity one recovers various single shot results including single level transitions (a), multiple final level transitions (b), and recent results on restricted sets of multi-level to multi-level weight transfers.
涨落状态:热力学转变的概率是多少?
DOI: --
发表时间: 2015
期刊:
影响因子: --
作者:
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通讯作者: Christopher Perry
DOI: --
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影响因子: 16.6
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DOI: --
发表时间: 2012
期刊: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
影响因子: --
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DOI: 10.1103/physrevlett.111.250404
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影响因子: 8.6
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Brandao, Fernando G. S. L.;Horodecki, Michal;Spekkens, Robert W.
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