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arXiv · 1309.3100

On nonlinear coherent states properties for electron-phonon dynamics

Isiaka Aremua·Mahouton Norbert Hounkonnou·Ezinvi Baloïtcha
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Abstract

This work addresses a construction of a dual pair of nonlinear coherent states (NCS) in the context of changes of bases in the underlying Hilbert space for a model pertaining to the condensed matter physics, which obeys a $f$-deformed Heisenberg algebra. The existence and properties of reproducing kernel in the NCS Hilbert space are studied and discussed; the probability density and its dynamics in the basis of constructed coherent states are provided. A Glauber-Sudarshan $P$-representation of the density matrix and relevant issues related to the reproducing kernel properties are presented. Moreover, a NCS quantization of classical phase space observables is performed and illustrated in a concrete example of $q$-deformed coherent states. Finally, an exposition of quantum optical properties is given.

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Isiaka Aremua, Mahouton Norbert Hounkonnou, Ezinvi Baloïtcha. 2013-09-12. On nonlinear coherent states properties for electron-phonon dynamics. https://arxiv.org/abs/1309.3100

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