Geometric optimization of non-equilibrium adiabatic thermal machines and implementation in a qubit system

• URL: http://arxiv.org/abs/2109.12648v3
• Date: Tue, 21 Dec 2021 21:21:12 GMT
• Title: Geometric optimization of non-equilibrium adiabatic thermal machines and implementation in a qubit system
• Authors: Pablo Terren Alonso, Paolo Abiuso, Marti Perarnau-Llobet, Liliana Arrachea
• Abstract summary: We show that the problem of optimizing the power generation of a heat engine and the efficiency of both the heat engine and the refrigerator operational modes is reduced to an isoperimetric problem with non-trivial underlying metrics and curvature. We illustrate this procedure in a qubit coupled to two reservoirs operating as a thermal machine by means of an adiabatic protocol.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We adopt a geometric approach to describe the performance of adiabatic quantum machines, operating under slow time-dependent driving and in contact to two or more reservoirs with a temperature bias during all the cycle. We show that the problem of optimizing the power generation of a heat engine and the efficiency of both the heat engine and refrigerator operational modes is reduced to an isoperimetric problem with non-trivial underlying metrics and curvature. This corresponds to the maximization of the ratio between the area enclosed by a closed curve and its corresponding length. We illustrate this procedure in a qubit coupled to two reservoirs operating as a thermal machine by means of an adiabatic protocol.

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