A novel scheme for modelling dissipation or thermalization in open quantum systems
- URL: http://arxiv.org/abs/2404.10286v2
- Date: Fri, 15 Nov 2024 15:52:40 GMT
- Title: A novel scheme for modelling dissipation or thermalization in open quantum systems
- Authors: Fardin Kheirandish, Elmira Bolandhemmat, Narges Cheraghpour, Ronak Moradi, Servieh Ahmadian,
- Abstract summary: We introduce a novel method for investigating dissipation (gain) and thermalization in an open quantum system.
To demonstrate the efficiency and significance of the method, we apply it to some ubiquitous open quantum systems.
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- Abstract: In this letter, we introduce a novel method for investigating dissipation (gain) and thermalization in an open quantum system. In this method, the quantum system is coupled linearly with a copy of itself or with another system described by a finite number of bosonic operators. The time-dependent coupling functions play a fundamental role in this scheme. To demonstrate the efficiency and significance of the method, we apply it to some ubiquitous open quantum systems. Firstly, we investigate a quantum oscillator in the presence of a thermal bath at the inverse temperature $\beta$, obtaining the reduced density matrix, the Husimi distribution function, and the quantum heat distribution function accurately. The results are consistent with existing literature by appropriate choices for the time-dependent coupling function. To illustrate the generalizability of this method to systems interacting with multiple thermal baths, we study the interaction of a quantum oscillator with two thermal baths at different temperatures and obtain compatible results. Subsequently, we analyze a two-level atom with energy or phase dissipation and derive the spontaneous emission and the pure dephasing processes consistently using the new method. Finally, we investigate the Markovianity in a dissipative two-level system.
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