Quantifying spectral signatures of non-Markovianity beyond the Born-Redfield master equation

• URL: http://arxiv.org/abs/2405.01722v2
• Date: Tue, 11 Jun 2024 17:23:58 GMT
• Title: Quantifying spectral signatures of non-Markovianity beyond the Born-Redfield master equation
• Authors: A. Keefe, N. Agarwal, A. Kamal,
• Abstract summary: Memory or time-non-local effects in open quantum dynamics pose theoretical as well as practical challenges. We propose a spectroscopic measure of non-Markovianity which can detect persistent non-Markovianity in the system steady state.
• Score: 0.40964539027092917
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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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