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Open AccessArticle

Spin Isoenergetic Process and the Lindblad Equation

by 1, 2 and 1,2,3,4,*
1
Physics Division, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China
2
Department of Physical Engineering, Mie University, Mie 514-8507, Japan
3
Institute of Physics, Kazan Federal University, 420008 Kazan, Russia
4
ESIEA, 9 Rue Vesale, 75005 Paris, France
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(5), 503; https://doi.org/10.3390/e21050503
Received: 21 March 2019 / Revised: 3 May 2019 / Accepted: 6 May 2019 / Published: 17 May 2019
(This article belongs to the Special Issue Entropy and Non-Equilibrium Statistical Mechanics)
A general comment is made on the existence of various baths in quantum thermodynamics, and a brief explanation is presented about the concept of weak invariants. Then, the isoenergetic process is studied for a spin in a magnetic field that slowly varies in time. In the Markovian approximation, the corresponding Lindbladian operators are constructed without recourse to detailed information about the coupling of the subsystem with the environment called the energy bath. The entropy production rate under the resulting Lindblad equation is shown to be positive. The leading-order expressions of the power output and work done along the isoenergetic process are obtained. View Full-Text
Keywords: quantum thermodynamics of spin; weak invariants; isoenergetic process; Lindblad equation quantum thermodynamics of spin; weak invariants; isoenergetic process; Lindblad equation
MDPI and ACS Style

Ou, C.; Yokoi, Y.; Abe, S. Spin Isoenergetic Process and the Lindblad Equation. Entropy 2019, 21, 503. https://doi.org/10.3390/e21050503

AMA Style

Ou C, Yokoi Y, Abe S. Spin Isoenergetic Process and the Lindblad Equation. Entropy. 2019; 21(5):503. https://doi.org/10.3390/e21050503

Chicago/Turabian Style

Ou, Congjie; Yokoi, Yuho; Abe, Sumiyoshi. 2019. "Spin Isoenergetic Process and the Lindblad Equation" Entropy 21, no. 5: 503. https://doi.org/10.3390/e21050503

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