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arXiv 2001.07757quant-phcond-mat.stat-mech
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高斯量子映射的非线性Onsager关系

Non-linear Onsager relations for Gaussian quantum maps

Domingos S. P. Salazar, Gabriel T. Landi

摘要:

昂萨格的关系允许一个表达热力学第二定律的基础相关的电流。然而,这些关系通常只在接近平衡时才有效。使用量子相空间制定的第二定律,我们表明,开放的玻色子高斯系统也服从一组Onsager关系,有效的任意远离平衡。然而,这些关系,被发现是由一个更复杂的非线性函数,它减少到通常的二次型接近平衡。这种非线性意味着远离平衡,从系统到浴槽的熵流之间存在根本的不对称性,反之亦然。这在驱动耗散量子光学装置中的应用的后果也进行了讨论。

英文摘要:

Onsager's relations allow one to express the second law of thermodynamics in terms of the underlying associated currents. These relations, however, are usually valid only close to equilibrium. Using a quantum phase space formulation of the second law, we show that open bosonic Gaussian systems also obey a set of Onsager relations, valid arbitrarily far from equilibrium. These relations, however, are found to be given by a more complex non-linear function, which reduces to the usual quadratic form close to equilibrium. This non-linearity implies that far from equilibrium, there exists a fundamental asymmetry between entropy flow from system to bath and vice-versa. The ramifications of this for applications in driven-dissipative quantum optical setups are also discussed.

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