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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Lindblad-Floquet description of finite-time quantum heat engines

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Author(s):
Scopa, Stefano [1] ; Landi, Gabriel T. [2] ; Karevski, Dragi [1]
Total Authors: 3
Affiliation:
[1] Univ Lorraine, CNRS, Lab Phys & Chim Theor, UMR 7019, BP 239, F-54506 Vandoeuvre Les Nancy - France
[2] Univ Sao Paulo, Inst Fis, BR-05314970 Sao Paulo, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Physical Review A; v. 97, n. 6 JUN 20 2018.
Web of Science Citations: 5
Abstract

The operation of autonomous finite-time quantum heat engines relies on the existence of a stable limit cycle in which the dynamics becomes periodic. The two main questions that naturally arise are therefore whether such a limit cycle will eventually be reached and, once it has, what the state of the system is within the limit cycle. In this paper we show that the application of Floquet's theory to Lindblad dynamics offers clear answers to both questions. By moving to a generalized rotating frame, we show that it is possible to identify a single object, the Floquet Liouvillian, which encompasses all operating properties of the engine. First, its spectrum dictates the convergence to a limit cycle. Second, the state within the limit cycle is precisely its zero eigenstate, therefore reducing the problem to that of determining the steady state of a time-independent master equation. To illustrate the usefulness of this theory, we apply it to a harmonic oscillator subject to a time-periodic work protocol and time-periodic dissipation, an open-system generalization of the Ermakov-Lewis theory. The use of this theory to implement a finite-time Carnot engine subject to continuous frequency modulations is also discussed. (AU)

FAPESP's process: 16/08721-7 - Stochastic modeling of non-equilibrium quantum systems
Grantee:Gabriel Teixeira Landi
Support type: Regular Research Grants