Non-Markovian effects on the steady state properties of a damped harmonic oscillator
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915171633463296 |
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| author | Farooq, Faisal Dar, Irfan Ahmad Lone, Muzaffar Qadir |
| author_facet | Farooq, Faisal Dar, Irfan Ahmad Lone, Muzaffar Qadir |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_17891 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-Markovian effects on the steady state properties of a damped harmonic oscillator Farooq, Faisal Dar, Irfan Ahmad Lone, Muzaffar Qadir Quantum Physics Other Condensed Matter 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. |
| title | Non-Markovian effects on the steady state properties of a damped harmonic oscillator |
| topic | Quantum Physics Other Condensed Matter |
| url | https://arxiv.org/abs/2502.17891 |