https://doi.org/10.1140/epjb/s10051-024-00681-9
Topical Review - Statistical and Nonlinear Physics
Quantum Ising heat engines: a mean field study
1
Department of Physics, Presidency University, 700073, Kolkata, India
2
Saha Institute of Nuclear Physics, 700064, Kolkata, India
a
muktish.physics@presiuniv.ac.in
Received:
21
September
2023
Accepted:
20
March
2024
Published online:
10
April
2024
We have studied the efficiencies of both classical and quantum heat engines using an Ising model as working fluid and the mean field equation for its non-equilibrium dynamics, formulated earlier (Acharyya et al. J Phys A Math Gen 27:1533, 1994; Acharyya and Chakrabarti Phys Rev B 52:6550, 1995) to study the dynamical hysteresis and the dynamical phase transitions in the quantum Ising ferromagnets. We studied numerically the Ising magnet’s nonintegrable coupled nonlinear first order differential equations of motion for a four stroke heat engine and compared the efficiencies in both classical and quantum limits using the quasi-static approximation. In both the pure classical and pure quantum cases, the numerically calculated efficiencies are much less than the corresponding Carnot values. Our analytical formulations of the efficiencies (both in pure classical as well as in pure quantum Ising heat engines) are found to agree well with the numerical estimates. Such formulations also indicate increased efficiency for the mixed case of a transverse field driven Ising engine in presence of nonzero longitudinal field. We also numerically checked and found that the efficiency of such a (mixed) quantum Ising heat engine can indeed have much higher efficiency for appropriate values of the transverse and longitudinal fields.
Dedicated to the loving memory of Prof. Amit Dutta, Indian Institute of Technology, Kanpur.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
