The Mpemba effect in quantum oscillating and two-level systems
- URL: http://arxiv.org/abs/2412.03943v1
- Date: Thu, 05 Dec 2024 07:45:31 GMT
- Title: The Mpemba effect in quantum oscillating and two-level systems
- Authors: Fardin Kheirandish, Narges Cheraghpour, Adam Moradian,
- Abstract summary: Empemba effect (ME) is investigated in the context of ubiquitous quantum oscillating and two-level systems.
It is shown that the ME effect occurs, and the potential for its realization and experimental observation is discussed.
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- Abstract: 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 $|N\ra$ intersect with coherent states $|\alpha\ra$, with this intersection occurring earlier for smaller values of $N$. Additionally, thermal states intersect with coherent states for specific values of $|\alpha|$, 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.
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