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
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.
Key words: Quantum Optics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2012