Thermodynamics of discrete-charge quantum circuits

Utreras-Díaz, C.A. and Laroze, D. (2015) Thermodynamics of discrete-charge quantum circuits. Physica B: Condensed Matter, 476, pp. 77-81. (doi: 10.1016/j.physb.2015.07.017)

Abstract

We study a dilute gas made of quantum circuits with discrete charge, interacting with a thermal reservoir at absolute temperature T, using Boltzmann statistics. This system is described by a quantum Hamiltonian that explicitly includes the effect of the discrete nature of the electric charge within a circuit approach. The eigenfunctions can be expressed as solutions of the Mathieu equation, and the energy spectrum is related to its characteristic values. We also make a comparative numerical study of the thermal properties, between the quantum case with discrete charge, and the so-called semiclassical approximation.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Laroze, Dr David
• Authors: Utreras-Díaz, C.A., and Laroze, D.
• College/School: College of Science and Engineering > School of Physics and Astronomy
• Journal Name: Physica B: Condensed Matter
• Publisher: Elsevier B.V.
• ISSN: 0921-4526
• ISSN (Online): 1873-2135
• Published Online: 18 July 2015
• Copyright Holders: Copyright © 2015 Elsevier B.V.
• First Published: First published in Physica B: Condensed Matter 476:77-81
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher.