Eur. Phys. J. D (2012) 66: 186
https://doi.org/10.1140/epjd/e2012-30059-7

Regular Article

Collective spontaneous emission from a Bose-Einstein condensate in the framework of a multi-photon q-deformed Dicke model

Department of Physics and Astronomy, University of Western Ontario, London, N6A 3K7 Ontario, Canada

^a e-mail: zhaghshe@uwo.ca

Received: 24 January 2012
Received in final form: 1 May 2012
Published online: 20 July 2012

Abstract

Investigations are made for the collective spontaneous emission of a Bose-Einstein condensate consisting of N two-level atoms when s atoms are initially excited in a multi-photon q-deformed Dicke model. The model is based on the generalized deformed oscillator algebra in which the field radiation operators are deformed by an operator-valued function f(n̂) of the photon number operator n̂. The time evolution of the expectation value of the atomic inversion is calculated for s = 1, s = 2 and s = 3. When s = 3 its spectra are characterized by nonequidistant eigenvalues, and the phenomenon of the quantum collapse and revival is demonstrated. In particular, the influences of photon multiplicity and q-deformation on the spontaneous emission of the system are discussed. The results show that the nonlinearities due to the photon multiplicity and q-deformation may lead to the inhibition of collective spontaneous emission.