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arXiv 2604.02484quant-ph
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混合量子-经典动力学与驻定热态

Hybrid quantum-classical dynamics with stationary thermal states

Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Centro Atómico Bariloche(国家科学技术研究委员会(CONICET),巴里洛切原子中心);Universidad Tecnológica Nacional (UTN-FRC)(国立技术大学(UTN-FRC))

Adrián A. Budini

AI总结:

研究通过非幺正不可逆机制耦合量子与经典系统,在驻定态下热混合态的形成机制,提出详细平衡条件下的混合Lindblad方程子类,通过实例展示子系统间耦合对热态的影响。

摘要:

量子和经典系统可以通过非幺正时间不可逆机制一致耦合。本文研究了哪些对应的动力学在驻定态下收敛到热混合态,即在canonical ensemble约束下最大化混合排列熵的密度矩阵。引入详细平衡条件,发现特定子类的混合Lindblad方程满足需求。主要理论结果通过具体实例说明,同时展示了子系统间耦合如何影响各自孤立子系统的热态。特别是,高斯热态在增加经典子系统与量子二能级子系统相互作用强度时可能成为双峰分布。

英文摘要:

Quantum and classical systems can consistently be coupled via non-unitary time-irreversible mechanisms. In this paper we characterize which kind of corresponding dynamics converge in the stationary regime to a thermal hybrid state, that is, a density matrix that maximizes the hybrid arrangement entropy under the constraints of a canonical ensemble. Introducing a detailed balance condition, it is found that a specific subclass of hybrid Lindblad equations fulfill the demanded requirement. The main theoretical results are exemplified through a set of specific examples that in addition lighten how the thermal state of each subsystem in isolation is affected by their mutual coupling. In particular, a Gaussian thermal state could become a bimodal distribution when increasing the interaction strength of a classical subsystem with a quantum two-level subsystem.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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