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

• URL: http://arxiv.org/abs/2404.01285v2
• Date: Tue, 16 Jul 2024 17:51:26 GMT
• Title: Weak-coupling limits of the quantum Langevin equation for an oscillator
• Authors: Aritra Ghosh, Sushanta Dattagupta,
• Abstract summary: We show what happens when we implement 'Born-Markov'-like approximations at the level of the quantum Langevin equation. In this backdrop, we also comment on the rotating-wave approximation.
• Score: 7.872846260392537
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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