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Is there a Floquet Lindbladian?

机译:有浮球林德布莱迪安吗?

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摘要

The stroboscopic evolution of a time-periodically driven isolated quantum system can always be described by an effective time-independent Hamiltonian. Whether this concept can be generalized to open Floquet systems, described by a Markovian Lindblad master equation with a time-periodic generator (Lindbladian), remains an open question. By using a two-level system as a model, we explicitly show the existence of two well-defined parameter regions. In one region the stroboscopic evolution can be described by a Markovian master equation with a time-independent Floquet Lindbladian. In the other it cannot; but here the one-cycle evolution operator can be reproduced with an effective non-Markovian master equation that is homogeneous but nonlocal in time. Interestingly, we find that the boundary between the phases depends on when during the period the evolution is stroboscopically monitored. This reveals the nontrivial role played by the micromotion in the dynamics of open Floquet systems.
机译:时间周期驱动的隔离量子系统的频闪演化始终可以用有效的与时间无关的哈密顿量来描述。这个概念是否可以推广到开放式Floquet系统,由Markovian Lindblad主方程和时间周期发生器(Lindbladian)描述,仍然是一个悬而未决的问题。通过使用两级系统作为模型,我们明确显示了两个定义明确的参数区域的存在。在一个区域中,频闪演化可由具有时间独立性的Floquet Lindbladian的Markovian主方程来描述。另一方面,它不能;但是在这里,可以用有效的非马尔可夫主方程来重现单周期演化算子,该方程是齐次的,但在时间上是非局部的。有趣的是,我们发现相位之间的边界取决于在频闪观测期间的时间。这揭示了微运动在开放式Floquet系统动力学中发挥的重要作用。

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  • 来源
    《Physical review》 |2020年第10期|100301.1-100301.6|共6页
  • 作者单位

    Max-Planck-Institut für Physik komplexer Svsteme Nöthnitzer Straße 38 01187 Dresden Germany Center for Theoretical Physics of Complex Systems IBS Daejeon 305-732 Korea;

    Department of Computer Science OsloMel-Oslo Metropolitan University 0130 Oslo Norway Center for Theoretical Physics of Complex Systems IBS Daejeon 305-732 Korea Department of Control Theory and Systems Dynamics Lobachevsky University Gagarina Avenue 23 Nizhny Novgorod 603950 Russia;

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