Markovian master equations for quantum thermal machines : Local versus global approach
Hofer, Patrick P. LU
; Perarnau-Llobet, Martí
; Miranda, L. David M.
; Haack, Géraldine
; Silva, Ralph
; Brask, Jonatan Bohr
and Brunner, Nicolas
(2017)
In New Journal of Physics
19(12).
- Abstract
The study of quantum thermal machines, and more generally of open quantum systems, often relies on master equations. Two approaches are mainly followed. On the one hand, there is the widely used, but often criticized, local approach, where machine sub-systems locally couple to thermal baths. On the other hand, in the more established global approach, thermal baths couple to global degrees of freedom of the machine. There has been debate as to which of these two conceptually different approaches should be used in situations out of thermal equilibrium. Here we compare the local and global approaches against an exact solution for a particular class of thermal machines. We consider thermodynamically relevant observables, such as heat... (More)
The study of quantum thermal machines, and more generally of open quantum systems, often relies on master equations. Two approaches are mainly followed. On the one hand, there is the widely used, but often criticized, local approach, where machine sub-systems locally couple to thermal baths. On the other hand, in the more established global approach, thermal baths couple to global degrees of freedom of the machine. There has been debate as to which of these two conceptually different approaches should be used in situations out of thermal equilibrium. Here we compare the local and global approaches against an exact solution for a particular class of thermal machines. We consider thermodynamically relevant observables, such as heat currents, as well as the quantum state of the machine. Our results show that the use of a local master equation is generally well justified. In particular, for weak inter-system coupling, the local approach agrees with the exact solution, whereas the global approach fails for non-equilibrium situations. For intermediate coupling, the local and the global approach both agree with the exact solution and for strong coupling, the global approach is preferable. These results are backed by detailed derivations of the regimes of validity for the respective approaches.
(Less)
- author
- Hofer, Patrick P.
LU
; Perarnau-Llobet, Martí
; Miranda, L. David M.
; Haack, Géraldine
; Silva, Ralph
; Brask, Jonatan Bohr
and Brunner, Nicolas
- publishing date
- 2017-12-01
- type
- Contribution to journal
- publication status
- published
- keywords
- exact numerics, heat engine, Markovian master equations, quantum thermodynamics
- in
- New Journal of Physics
- volume
- 19
- issue
- 12
- article number
- 123037
- publisher
- IOP Publishing
- external identifiers
-
- scopus:85039792665
- ISSN
- 1367-2630
- DOI
- 10.1088/1367-2630/aa964f
- language
- English
- LU publication?
- no
- id
- e9d8586a-dd8e-4898-bc92-f5873596ab7f
- date added to LUP
- 2019-03-11 16:53:55
- date last changed
- 2022-04-25 21:52:58
@article{e9d8586a-dd8e-4898-bc92-f5873596ab7f,
abstract = {{<p>The study of quantum thermal machines, and more generally of open quantum systems, often relies on master equations. Two approaches are mainly followed. On the one hand, there is the widely used, but often criticized, local approach, where machine sub-systems locally couple to thermal baths. On the other hand, in the more established global approach, thermal baths couple to global degrees of freedom of the machine. There has been debate as to which of these two conceptually different approaches should be used in situations out of thermal equilibrium. Here we compare the local and global approaches against an exact solution for a particular class of thermal machines. We consider thermodynamically relevant observables, such as heat currents, as well as the quantum state of the machine. Our results show that the use of a local master equation is generally well justified. In particular, for weak inter-system coupling, the local approach agrees with the exact solution, whereas the global approach fails for non-equilibrium situations. For intermediate coupling, the local and the global approach both agree with the exact solution and for strong coupling, the global approach is preferable. These results are backed by detailed derivations of the regimes of validity for the respective approaches.</p>}},
author = {{Hofer, Patrick P. and Perarnau-Llobet, Martí and Miranda, L. David M. and Haack, Géraldine and Silva, Ralph and Brask, Jonatan Bohr and Brunner, Nicolas}},
issn = {{1367-2630}},
keywords = {{exact numerics; heat engine; Markovian master equations; quantum thermodynamics}},
language = {{eng}},
month = {{12}},
number = {{12}},
publisher = {{IOP Publishing}},
series = {{New Journal of Physics}},
title = {{Markovian master equations for quantum thermal machines : Local versus global approach}},
url = {{http://dx.doi.org/10.1088/1367-2630/aa964f}},
doi = {{10.1088/1367-2630/aa964f}},
volume = {{19}},
year = {{2017}},
}