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arXiv 2102.11657quant-phcond-mat.stat-mech
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双自旋量子奥托发动机:绝热性与不可逆性的捷径

Finite-time two-spin quantum Otto engines: shortcuts to adiabaticity vs. irreversibility

Barış Çakmak

摘要:

本文提出了一个在横向外磁场中双自旋$1/2$各向异性XY模型中的量子Otto循环.我们首先表征的参数制度,工作介质作为一个引擎在绝热制度。然后,我们考虑有限的时间行为的发动机和不利用捷径绝热(STA)技术。STA方案保证系统的动态遵循绝热路径,代价是引入外部控制。在绝热效率一定但工质参数不同的情况下,我们比较了非绝热和STA发动机的性能。我们观察到,对于某些参数制度,不可逆性,作为衡量的效率滞后,由于有限时间驱动是如此之低,非绝热发动机的性能非常接近绝热发动机,离开STA发动机只略好于非绝热的。这表明,通过设计工作介质哈密顿量,可以避免处理外部控制协议的困难。

英文摘要:

We propose a quantum Otto cycle in a two spin-$1/2$ anisotropic XY model in a transverse external magnetic field. We first characterize the parameter regime that the working medium operates as an engine in the adiabatic regime. Then, we consider finite-time behavior of the engine with and without utilizing a shortcut to adiabaticity (STA) technique. STA schemes guarantee that the dynamics of a system follows the adiabatic path, at the expense of introducing an external control. We compare the performance of the non-adiabatic and STA engines for a fixed adiabatic efficiency but different parameters of the working medium. We observe that, for certain parameter regimes, the irreversibility, as measured by the efficiency lags, due to finite-time driving is so low that non-adiabatic engine performs quite close to the adiabatic engine, leaving the STA engine only marginally better than the non-adiabatic one. This suggests that by designing the working medium Hamiltonian one may spare the difficulty of dealing with an external control protocol.

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