Phase-space approach to cavity field dynamics in a squeezed thermal reservoir
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910970932101120 |
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| author | Mattos, E. P. Vidiella-Barranco, A. |
| author_facet | Mattos, E. P. Vidiella-Barranco, A. |
| contents | Quantum systems, such as a single-mode cavity field coupled to a thermal bath, typically experience destructive effects due to interactions with their noisy environment. When the bath combines both thermal fluctuations and a nonclassical feature like quadrature squeezing, forming a squeezed thermal reservoir, the system's behaviour can change substantially. In this work, we study the evolution of the cavity field in this generalized environment using an alternative phase-space approach based on the Glauber-Sudarshan $P$-function. We derive a compact analytical expression for the time-dependent $P$-function for arbitrary initial cavity field states and demonstrate its utility through specific examples. Additionally, we obtain analytical expressions, as a function of time, for some statistical properties of the cavity field, as well as for the nonclassical depth, $τ_m$, a nonclassicality measure calculated directly from the $P$-function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18763 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase-space approach to cavity field dynamics in a squeezed thermal reservoir Mattos, E. P. Vidiella-Barranco, A. Quantum Physics Statistical Mechanics Optics Quantum systems, such as a single-mode cavity field coupled to a thermal bath, typically experience destructive effects due to interactions with their noisy environment. When the bath combines both thermal fluctuations and a nonclassical feature like quadrature squeezing, forming a squeezed thermal reservoir, the system's behaviour can change substantially. In this work, we study the evolution of the cavity field in this generalized environment using an alternative phase-space approach based on the Glauber-Sudarshan $P$-function. We derive a compact analytical expression for the time-dependent $P$-function for arbitrary initial cavity field states and demonstrate its utility through specific examples. Additionally, we obtain analytical expressions, as a function of time, for some statistical properties of the cavity field, as well as for the nonclassical depth, $τ_m$, a nonclassicality measure calculated directly from the $P$-function. |
| title | Phase-space approach to cavity field dynamics in a squeezed thermal reservoir |
| topic | Quantum Physics Statistical Mechanics Optics |
| url | https://arxiv.org/abs/2504.18763 |