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arXiv 2206.14751quant-ph
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具有单量子位浴的强耦合量子Otto循环

Strongly coupled quantum Otto cycle with single qubit bath

Sagnik Chakraborty, Arpan Das, Dariusz Chruściński

摘要:

我们讨论了一个封闭的两个量子比特的量子演化模型,其中联合哈密顿量是这样选择的,其中一个量子比特作为浴和热化的另一个量子比特作为系统。导出了系统的精确主方程。有趣的是,对于特定的参数选择,主方程采用具有常系数的Gorini-Kossakowski-Lindblad-Sudarshan(GKLS)形式,表示单个量子比特系统的泵浦和阻尼。在此基础上,我们构造了一个连接到单个量子位浴的奥托循环,并研究了它的热力学性质。我们的分析超越了传统的弱耦合的情况下,并说明了有限浴,包括非马尔可夫性的影响。我们发现封闭形式的表达式的效率(性能系数),功率(冷却功率)的热机制度(制冷机制度)的联合哈密顿量的不同修改。

英文摘要:

We discuss a model of a closed quantum evolution of two-qubits where the joint Hamiltonian is so chosen that one of the qubits acts as a bath and thermalize the other qubit which is acting as the system. The corresponding exact master equation for the system is derived. Interestingly, for a specific choice of parameters the master equation takes the Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) form with constant coefficients, representing pumping and damping of a single qubit system. Based on this model we construct an Otto cycle connected to a single qubit bath and study its thermodynamic properties. Our analysis goes beyond the conventional weak coupling scenario and illustrates the effects of finite bath including non-Markovianity. We find closed form expressions for efficiency (coefficient of performance), power (cooling power) for heat engine regime (refrigerator regime) for different modifications of the joint Hamiltonian.

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