Eur. Phys. J. D 39, 453-457 (2006)
https://doi.org/10.1140/epjd/e2006-00114-3

Quantum phase transition in the generalized single-mode superradiant model

¹ Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing, 312000, P.R. China
² Institute of Theoretical Physics, Shanxi University, Taiyuan, 030006, P.R. China
³ Department of mathematics, Shaoxing College of Arts and Sciences, Shaoxing, 312000, P.R. China

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Received: 29 October 2005
Revised: 4 March 2006
Published online: 18 May 2006

Abstract

In this paper we reveal a zero-temperature quantum phase transition for the single-mode superradiant model with the form A² from the normal to superradiant phase by mean of the Holstein-Primakoff transformation. In the thermodynamic limit, in which the numbers of atoms becomes infinite, the ground state energy and corresponding wavefunctions of both the normal and superradiant phases are obtained and therefore the scaling behavior near the critical transition point is derived.