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Spin Isoenergetic Process and the Lindblad Equation

1, 2 and 1,2,3,4,*
Physics Division, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China
Department of Physical Engineering, Mie University, Mie 514-8507, Japan
Institute of Physics, Kazan Federal University, 420008 Kazan, Russia
ESIEA, 9 Rue Vesale, 75005 Paris, France
Author to whom correspondence should be addressed.
Entropy 2019, 21(5), 503;
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)
PDF [225 KB, uploaded 20 May 2019]


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
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Ou, C.; Yokoi, Y.; Abe, S. Spin Isoenergetic Process and the Lindblad Equation. Entropy 2019, 21, 503.

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