Weak-coupling limits of the quantum Langevin equation for an oscillator

Aritra Ghosh and Sushanta Dattagupta

Physica A: Statistical Mechanics and its Applications, 2024, vol. 648, issue C

Abstract: The quantum Langevin equation as obtained from the independent-oscillator model describes a strong-coupling situation, devoid of the Born–Markov approximation that is employed in the context of the Gorini–Kossakowski–Sudarshan–Lindblad equation. The question we address is what happens when we implement such ‘Born–Markov’-like approximations at the level of the quantum Langevin equation for a harmonic oscillator which carries a noise term satisfying a fluctuation–dissipation theorem. In this backdrop, we also comment on the rotating-wave approximation.

Keywords: Quantum Langevin equation; Quantum dissipation; Steady state; Born–Markov approximation; Non-Markovian effects; Weak-coupling limit (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:648:y:2024:i:c:s0378437124004357

DOI: 10.1016/j.physa.2024.129926

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