在Born-Redfield主方程之外量化非马尔可夫性的谱特征

IF 5.1 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Quantum Pub Date : 2025-09-24 DOI:10.22331/q-2025-09-24-1863
A. Keefe, N. Agarwal, A. Kamal
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引用次数: 0

摘要

开放量子动力学中的记忆或时间非局部效应在理解和控制噪声量子系统方面提出了理论和实践上的挑战。虽然在开发非马尔可夫动力学诊断方面已经有了全面和一致的努力,但所有现有的测量方法都依赖于时域测量,这通常是缓慢和昂贵的,因为它们需要在广泛的背景下平均几次运行来解决小的瞬态特征,并且随着系统规模和复杂性的增加而扩大。在这项工作中,我们提出了一种非马尔可夫性的光谱测量方法,可以检测系统稳态中的持续非马尔可夫性。除了在实验上可行之外,所提出的测量方法还具有直接的信息理论解释:大的值表示进行马尔可夫近似时每单位带宽的信息损失。同样,我们推导出一个频域量子主方程(FD-QME),它超越了标准的Born-Redfield描述,并保留了约简系统状态的全部内存。使用FD-QME和提出的测量方法,我们能够可靠地诊断和量化几种系统环境设置中的非马尔可夫性,包括那些具有环境相关性和延迟效应的系统环境设置。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Quantifying spectral signatures of non-Markovianity beyond the Born-Redfield master equation
Memory or time-non-local effects in open quantum dynamics pose theoretical as well as practical challenges in the understanding and control of noisy quantum systems. While there has been a comprehensive and concerted effort towards developing diagnostics for non-Markovian dynamics, all existing measures rely on time-domain measurements which are typically slow and expensive as they require averaging several runs to resolve small transient features on a broad background, and scale unfavorably with system size and complexity. In this work, we propose a spectroscopic measure of non-Markovianity which can detect persistent non-Markovianity in the system steady state. In addition to being experimentally viable, the proposed measure has a direct information theoretic interpretation: a large value indicates the information loss per unit bandwidth of making the Markov approximation. In the same vein, we derive a frequency-domain quantum master equation (FD-QME) that goes beyond the standard Born-Redfield description and retains the full memory of the state of the reduced system. Using the FD-QME and the proposed measure, we are able to reliably diagnose and quantify non-Markovianity in several system-environment settings including those with environmental correlations and retardation effects.
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来源期刊
Quantum
Quantum Physics and Astronomy-Physics and Astronomy (miscellaneous)
CiteScore
9.20
自引率
10.90%
发文量
241
审稿时长
16 weeks
期刊介绍: Quantum is an open-access peer-reviewed journal for quantum science and related fields. Quantum is non-profit and community-run: an effort by researchers and for researchers to make science more open and publishing more transparent and efficient.
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