量子重置模型的微扰分析
Perturbation Analysis of Quantum Reset Models
摘要：
本文分析了量子重置模型中的Lindblad算符，描述了三体量子系统在随机重置下的有效动力学行为。我们考虑一个链的三个独立的子系统，耦合的哈密顿项。在链的每一端的两个子系统被驱动，彼此独立，由重置Lindbladian，而中心系统是由哈密尔顿驱动。在耦合项的一般假设下，我们证明了扰动复位Lindbladian，解析的耦合常数的存在唯一的稳定状态。我们进一步分析了相应的CPTP马尔可夫半群，描述了接近稳定状态的大倍动力学。我们用对应于实际开放量子系统的具体例子来说明这些结果。
英文摘要：
This paper is devoted to the analysis of Lindblad operators of Quantum Reset Models, describing the effective dynamics of tri-partite quantum systems subject to stochastic resets. We consider a chain of three independent subsystems, coupled by a Hamiltonian term. The two subsystems at each end of the chain are driven, independently from each other, by a reset Lindbladian, while the center system is driven by a Hamiltonian. Under generic assumptions on the coupling term, we prove the existence of a unique steady state for the perturbed reset Lindbladian, analytic in the coupling constant. We further analyze the large times dynamics of the corresponding CPTP Markov semigroup that describes the approach to the steady state. We illustrate these results with concrete exemples corresponding to realistic open quantum systems.
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