论文标题

连续且时间差异的非马克维亚系统 - 库库相互作用:Liouville空间中的耗散相干量子反馈

Continuous and time-discrete non-Markovian system-reservoir interactions: Dissipative coherent quantum feedback in Liouville space

论文作者

Kästle, Oliver, Finsterhoelzl, Regina, Knorr, Andreas, Carmele, Alexander

论文摘要

基于路径积分的张量网络实现,将指数存储器缩放到多项式效率并实现了时间差异量子存储器,我们研究了同时暴露于两个结构化储层的量子系统。为此,我们采用了一个数值准确的准2D张量网络,该网络结合了对角线和非对角线系统 - 储存相互作用,以及双重内存,以实现连续和离散的延迟效果。作为一个可能的例子,我们研究了离散光子反馈和结构化声音子模式之间的非马克维亚动力学相互作用,从而导致新兴的库间相关性和在最初激发的两级系统中的长期捕获相关性和长期的种群捕获。

Based on tensor network realizations of path integrals reducing exponential memory scaling to polynomial efficiency and a Liouville space implementation of a time-discrete quantum memory, we investigate a quantum system simultaneously exposed to two structured reservoirs. For this purpose, we employ a numerically exact quasi-2D tensor network combining both diagonal and off-diagonal system-reservoir interactions with a twofold memory for continuous and discrete retardation effects. As a possible example, we study the non-Markovian dynamical interplay between discrete photonic feedback and structured acoustic phonon modes, resulting in emerging inter-reservoir correlations and long-living population trapping within an initially-excited two-level system.

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