Work

Geometric Optimisation of Quantum Thermodynamic Processes

Year: 2020

Type: article

Abstract: Differential geometry offers a powerful framework for optimising and characterising finite-time thermodynamic processes, both classical and quantum. Here, we start by a pedagogical introduction to the notion of thermodynamic length. We review and connect different frameworks where it emerges in the quantum regime: adiabatically driven closed systems, time-dependent Lindblad master equations, and discrete processes. A geometric lower bound on entropy production in finite-time is then presented, which represents a quantum generalisation of the original classical bound. Following this, we review and develop some general principles for the optimisation of thermodynamic processes in the linear-response regime. These include constant speed of control variation according to the thermodynamic metric, absence of quantum coherence, and optimality of small cycles around the point of maximal ratio between heat capacity and relaxation time for Carnot engines.

Source: Entropy

DOI: 10.3390/e22101076

Authors: Paolo Abiuso, Harry J. D. Miller, Martí Perarnau-Llobet, Matteo Scandi

Institutions: Institute of Photonic Sciences, Barcelona Institute of Science and Technology, University of Manchester, University of Geneva

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: $1,690