Non-linear Onsager relations for Gaussian quantum maps

• URL: http://arxiv.org/abs/2001.07757v1
• Date: Tue, 21 Jan 2020 20:03:55 GMT
• Title: Non-linear Onsager relations for Gaussian quantum maps
• Authors: Domingos S. P. Salazar and Gabriel T. Landi
• Abstract summary: Onsager's relations allow one to express the second law of thermodynamics in terms of the underlying associated currents. We show that open bosonic Gaussian systems also obey a set of Onsager relations, valid arbitrarily far from equilibrium.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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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