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

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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 \(f\left( {\hat n} \right)\) of the photon number operator \(\hat n\). 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.

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Authors and Affiliations

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

    Z. Haghshenasfard & M. G. Cottam

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  1. Z. Haghshenasfard
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  2. M. G. Cottam
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Correspondence to Z. Haghshenasfard.

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Haghshenasfard, Z., Cottam, M.G. Collective spontaneous emission from a Bose-Einstein condensate in the framework of a multi-photon q-deformed Dicke model. Eur. Phys. J. D 66, 186 (2012). https://doi.org/10.1140/epjd/e2012-30059-7

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  • DOI: https://doi.org/10.1140/epjd/e2012-30059-7

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