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arXiv 2003.11845quant-phcond-mat.mes-hall
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超越局部和全局方法,实现局部散热

Going beyond Local and Global approaches for localized thermal dissipation

Donato Farina, Giulio De Filippis, Vittorio Cataudella, Marco Polini, Vittorio Giovannetti

摘要:

确定哪一个主方程更适合描述多体开放量子系统并不是一件小事,近年来在马尔可夫耗散的背景下引发了局域与全局的争论。我们在这里对待一个范例的情况下,该系统是由两个相互作用的谐振子A和B,只有A与热浴相互作用-收集其他谐振子-我们研究的平衡过程中的系统最初在基态浴有限的温度。我们表明,完全正的版本的Redfield方程获得使用粗粒度和适当的时间依赖性凸混合的本地和全球解决方案,产生最准确的半群近似的整个精确的系统动力学,即在短时间尺度和长时间尺度,优于本地和全球的方法。

英文摘要:

Identifying which master equation is preferable for the description of a multipartite open quantum system is not trivial and has led in the recent years to the local vs. global debate in the context of Markovian dissipation. We treat here a paradigmatic scenario in which the system is composed of two interacting harmonic oscillators A and B, with only A interacting with a thermal bath - collection of other harmonic oscillators - and we study the equilibration process of the system initially in the ground state with the bath finite temperature. We show that the completely positive version of the Redfield equation obtained using coarse-grain and an appropriate time-dependent convex mixture of the local and global solutions give rise to the most accurate semigroup approximations of the whole exact system dynamics, i.e. both at short and at long time scales, outperforming the local and global approaches.

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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