A non-Markovianity measure based on quantum speed limit

Safae Gaidi, Abdallah Slaoui, Mohammed EL Falaki and Rachid Ahl Laamara

Physica A: Statistical Mechanics and its Applications, 2025, vol. 674, issue C

Abstract: The quantum speed limit sets a fundamental bound on the speed at which quantum states can evolve and is commonly regarded as a manifestation of the time-energy uncertainty relation. In contrast, non-Markovian dynamics arise in open quantum systems when past interactions with the environment influence the system’s evolution. Establishing connections between these two concepts is a key challenge in quantum information science. By leveraging the relationship between non-Markovianity and Bures distance metrics, we propose a novel approach to quantify non-Markovianity through quantum speed limit. This method incorporates the impact of the quantum speed limit time on non-Markovian dynamics. As applications, we analyze the Jaynes–Cummings and damped Jaynes–Cummings models, demonstrating how system-environment interactions shape non-Markovian behavior. Our results reveal that the non-Markovian character of these processes is strongly correlated with a reduction in the quantum speed limit time, signifying a speedup in quantum evolution.

Keywords: Non-Markovianity; Quantum speed limit; Bures distance (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:674:y:2025:i:c:s0378437125003851

DOI: 10.1016/j.physa.2025.130733

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