驱动耗散量子系统中的强马尔可夫耗散

IF 1.3 3区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
Takashi Mori
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引用次数: 0

摘要

描述耗散下马尔可夫量子动力学的Lindblad方程通常是在弱系统池耦合假设下导出的。强系统池耦合常常导致非马尔可夫演化。奇异耦合极限被称为一个例外:它产生一个具有任意耗散强度的林德布莱德方程。然而,奇异耦合极限要求浴体的高温极限,因此系统最终处于平凡的无限温度状态,这在量子控制的背景下是不可取的。本文通过考虑奇异驱动极限,将奇异耦合极限与快速周期驱动相结合,推导出任意强度系统-系统耦合的马尔可夫林德布拉德方程。与标准的奇异耦合极限相反,耗散和周期驱动之间的相互作用导致非平凡稳态。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Strong Markov Dissipation in Driven-Dissipative Quantum Systems

The Lindblad equation, which describes Markovian quantum dynamics under dissipation, is usually derived under the weak system-bath coupling assumption. Strong system-bath coupling often leads to non-Markov evolution. The singular-coupling limit is known as an exception: it yields a Lindblad equation with an arbitrary strength of dissipation. However, the singular-coupling limit requires high-temperature limit of the bath, and hence the system ends up in a trivial infinite-temperature state, which is not desirable in the context of quantum control. In this work, it is shown that we can derive a Markovian Lindblad equation for an arbitrary strength of the system-bath coupling by considering a new scaling limit that is called the singular-driving limit, which combines the singular-coupling limit and fast periodic driving. In contrast to the standard singular-coupling limit, an interplay between dissipation and periodic driving results in a nontrivial steady state.

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来源期刊
Journal of Statistical Physics
Journal of Statistical Physics 物理-物理:数学物理
CiteScore
3.10
自引率
12.50%
发文量
152
审稿时长
3-6 weeks
期刊介绍: The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.
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