具有时间延迟的连续相干量子反馈:张量网络解决方案

IF 11.6 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Physical Review X Pub Date : 2024-09-09 DOI:10.1103/physrevx.14.031043
Kseniia Vodenkova, Hannes Pichler
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引用次数: 0

摘要

在本文中,我们开发了一种新方法来解决涉及与具有时间延迟特征的相干量子反馈回路耦合的量子光学系统的问题。我们的方法基于此类非马尔可夫问题与等效马尔可夫驱动耗散量子多体问题的精确映射。在这项工作中,我们展示了所产生的马尔可夫量子多体问题可以用张量网络方法精确、高效地求解(数值),求解的一系列范例包括在几个远点耦合到波导的驱动量子系统。我们特别指出,我们的方法可以解决迄今为止无法解决的问题,包括具有任意长时间延迟和延迟线中任意数量激励的问题。我们获得了所有这些状态下的全实时动态和稳态的解。最后,在我们研究结果的激励下,我们开发了一种新颖的平均场方法,它允许我们以半解析的方式求解,并且我们确定了这种近似方法与我们的张量网络结果非常一致的参数区。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

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Continuous Coherent Quantum Feedback with Time Delays: Tensor Network Solution
In this paper, we develop a novel method to solve problems involving quantum optical systems coupled to coherent quantum feedback loops featuring time delays. Our method is based on exact mappings of such non-Markovian problems to equivalent Markovian driven dissipative quantum many-body problems. In this work, we show that the resulting Markovian quantum many-body problems can be solved (numerically) exactly and efficiently using tensor network methods for a series of paradigmatic examples, consisting of driven quantum systems coupled to waveguides at several distant points. In particular, we show that our method allows solving problems in so far inaccessible regimes, including problems with arbitrary long time delays and arbitrary numbers of excitations in the delay lines. We obtain solutions for the full real-time dynamics as well as the steady state in all these regimes. Finally, motivated by our results, we develop a novel mean-field approach, which allows us to find the solution semianalytically, and we identify parameter regimes where this approximation is in excellent agreement with our tensor network results.
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来源期刊
Physical Review X
Physical Review X PHYSICS, MULTIDISCIPLINARY-
CiteScore
24.60
自引率
1.60%
发文量
197
审稿时长
3 months
期刊介绍: Physical Review X (PRX) stands as an exclusively online, fully open-access journal, emphasizing innovation, quality, and enduring impact in the scientific content it disseminates. Devoted to showcasing a curated selection of papers from pure, applied, and interdisciplinary physics, PRX aims to feature work with the potential to shape current and future research while leaving a lasting and profound impact in their respective fields. Encompassing the entire spectrum of physics subject areas, PRX places a special focus on groundbreaking interdisciplinary research with broad-reaching influence.
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