Nonlinear Onsager relations for Gaussian quantum maps

Author(s)

Salazar, Domingos S. P. ^[1] ; Landi, Gabriel T. ^[2]

Affiliation

^[1] Univ Fed Rural Pernambuco, Unidade Educ Distancia & Tecnol, BR-52171900 Recife, PE - Brazil

^[2] Univ Sao Paulo, Inst Fis, BR-05314970 Sao Paulo, SP - Brazil

• Document type: Journal article
• Source: PHYSICAL REVIEW RESEARCH; v. 2, n. 3 JUL 16 2020.
• Web of Science Citations: 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 nonlinear function, which reduces to the usual quadratic form close to equilibrium. This nonlinearity implies that in Gaussian models far from equilibrium, there exists a fundamental asymmetry between entropy flow from the system to the bath and vice versa. The ramifications of this for applications in driven-dissipative quantum optical setups are also discussed. (AU)

• FAPESP's process: 17/50304-7 - Entropy production in non-equilibrium quantum processes: from foundations to quantum technologies
• Grantee: Gabriel Teixeira Landi
• Support Opportunities: Regular Research Grants
• FAPESP's process: 17/07973-5 - Thermodynamics and information technologies with continuous variable quantum systems
• Grantee: Gabriel Teixeira Landi
• Support Opportunities: Regular Research Grants
• FAPESP's process: 18/12813-0 - Quantum thermodynamics of bosonic systems
• Grantee: Gabriel Teixeira Landi
• Support Opportunities: Regular Research Grants