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arXiv · 2502.17891

Non-Markovian effects on the steady state properties of a damped harmonic oscillator

Faisal Farooq·Irfan Ahmad Dar·Muzaffar Qadir Lone
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Abstract

We analyze the steady-state characteristics of a damped harmonic oscillator (system) in presence of a non-Markovian bath characterized by Lorentzian spectral density. Although Markovian baths presume memoryless dynamics, the introduction of complex temporal connections by a non-Markovian environment radically modifies the dynamics of the system and its steady-state behaviour. We obtain the steady-state Green's functions and correlation functions of the system using the Schwinger-Keldysh formalism. In both rotating and non-rotating wave approximation, we analyzed various emergent properties like effective temperature and distribution function. We also explore the impact of dissipation and non-Markovian bath on the quantum Zeno and anti-Zeno effects. We show that a transition between Zeno to anti-Zeno effect can be tuned by bath spectral width and the strength of dissipation.

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Faisal Farooq, Irfan Ahmad Dar, Muzaffar Qadir Lone. 2025-02-25. Non-Markovian effects on the steady state properties of a damped harmonic oscillator. https://arxiv.org/abs/2502.17891

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