Geometric Optimization of Nonequilibrium Adiabatic Thermal Machines and Implementation in a Qubit System

Year: 2022

Type: article

Abstract: We adopt a geometric approach to describe the performance of adiabatic quantum machines, operating under slow time-dependent driving and in contact with two 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 nontrivial 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.

Source: PRX Quantum

DOI: 10.1103/prxquantum.3.010326

Authors: Pablo Terrén Alonso, Paolo Abiuso, Martí Perarnau-Llobet, Liliana Arrachea

Institutions: National University of General San Martín, International Center for Advanced Studies, University of Geneva, Institute of Photonic Sciences, Barcelona Institute of Science and Technology

Language: English

Topic: Advanced Thermodynamics and Statistical Mechanics

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,450

Funders: National Science Foundation, Alexander von Humboldt-Stiftung, “la Caixa” Foundation, Centres de Recerca de Catalunya, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Generalitat de Catalunya, Consejo Nacional de Investigaciones Científicas y Técnicas, Fundación Bancaria Caixa d'Estalvis i Pensions de Barcelona, Agència de Gestió d'Ajuts Universitaris i de Recerca, Agencia Nacional de Promoción Científica y Tecnológica, Kavli Institute for Theoretical Physics, University of California, Santa Barbara

OpenAlex ID: W3204728486