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

Author

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  • Ghosh, Aritra
  • Dattagupta, Sushanta

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.

Suggested Citation

  • Ghosh, Aritra & Dattagupta, Sushanta, 2024. "Weak-coupling limits of the quantum Langevin equation for an oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 648(C).
    • Handle: RePEc:eee:phsmap:v:648:y:2024:i:c:s0378437124004357
    DOI: 10.1016/j.physa.2024.129926
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