Temperature and non-Markovian parameter estimation in quantum Brownian motion

• URL: http://arxiv.org/abs/2504.08529v1
• Date: Fri, 11 Apr 2025 13:41:00 GMT
• Title: Temperature and non-Markovian parameter estimation in quantum Brownian motion
• Authors: João C. P. Porto, Carlos H. S. Vieira, Irismar G. da Paz, Pedro R. Dieguez, Lucas S. Marinho,
• Abstract summary: We investigate a quantum metrological protocol operating in a non-Markovian environment by employing the quantum Brownian motion (QBM) model.<n>To confirm the presence of non-Markovian behavior, we apply two well-established non-Markovianity quantifiers.<n>Our results demonstrate that non-Markovianity and PM correlations can jointly be valuable resources to enhance metrological performance.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate a quantum metrological protocol operating in a non-Markovian environment by employing the quantum Brownian motion (QBM) model, in which the system is linearly coupled to a reservoir of harmonic oscillators. Specifically, we use a position-momentum (PM) correlated Gaussian state as a probe to examine how memory effects influence the evolution of the system's covariance matrix in the weak coupling regime under both high- and low-temperature conditions. To confirm the presence of non-Markovian behavior, we apply two well-established non-Markovianity quantifiers. Furthermore, we estimate both the channel's sample temperature and its non-Markovianity parameter. Our results demonstrate that non-Markovianity and PM correlations can jointly be valuable resources to enhance metrological performance.

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