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| Natura: | Preprint |
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2024
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| Accesso online: | https://arxiv.org/abs/2412.03943 |
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| _version_ | 1866918133181186048 |
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| author | Kheirandish, Fardin Cheraghpour, Narges Moradian, Adam |
| author_facet | Kheirandish, Fardin Cheraghpour, Narges Moradian, Adam |
| contents | The Empemba effect (ME) is investigated in the context of ubiquitous quantum oscillating and two-level systems (TLS) using a novel approach (DOI 10.1088/1402-4896/ad97f1). Exact reduced density matrices for various initial states are derived. The temporal behavior of the trace distance for these initial states is calculated analytically and presented. For a dissipative quantum oscillating system, it is demonstrated that number states $|N\rangle$ intersect with coherent states $|α\rangle$, with this intersection occurring earlier for smaller values of $N$. Additionally, thermal states intersect with coherent states for specific values of $|α|$, leading to the occurrence of the ME in these two scenarios. A weaker version of the ME is also observed for thermal and number states. In the case of a quantum TLS, it is shown that the ME effect occurs, and the potential for its realization and experimental observation is discussed, with reference to the Jaynes-Cummings model (JCM) involving a decaying time-dependent coupling function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03943 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Mpemba effect in quantum oscillating and two-level systems Kheirandish, Fardin Cheraghpour, Narges Moradian, Adam Quantum Physics The Empemba effect (ME) is investigated in the context of ubiquitous quantum oscillating and two-level systems (TLS) using a novel approach (DOI 10.1088/1402-4896/ad97f1). Exact reduced density matrices for various initial states are derived. The temporal behavior of the trace distance for these initial states is calculated analytically and presented. For a dissipative quantum oscillating system, it is demonstrated that number states $|N\rangle$ intersect with coherent states $|α\rangle$, with this intersection occurring earlier for smaller values of $N$. Additionally, thermal states intersect with coherent states for specific values of $|α|$, leading to the occurrence of the ME in these two scenarios. A weaker version of the ME is also observed for thermal and number states. In the case of a quantum TLS, it is shown that the ME effect occurs, and the potential for its realization and experimental observation is discussed, with reference to the Jaynes-Cummings model (JCM) involving a decaying time-dependent coupling function. |
| title | The Mpemba effect in quantum oscillating and two-level systems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2412.03943 |