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Truncated Coherent States and Photon-Addition

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Abstract

A class of states of the electromagnetic field involving superpositions of all the excited states above a specified low energy eigenstate of the electromagnetic field is introduced. These states and the photon-added coherent states are shown to be the limiting cases of a generalized photon-added coherent state. This new class of states is nonclassical, non-Gaussian and has equal uncertainties in the field quadratures. For suitable choices of parameters, these uncertainties are very close to those of the coherent states. Nevertheless, these states exhibit sub-Poissonian photon number distribution, which is a nonclassical feature. Under suitable approximations, these states become the generalized Bernoulli states of the field. Nonclassicality of these states is quantified using their entanglement potential.

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  1. Materials Physics Division, Indira Gandhi Centre for Atomic Research, Kalpakkam, 603 102, India

    S. Sivakumar

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Sivakumar, S. Truncated Coherent States and Photon-Addition. Int J Theor Phys 53, 1697–1709 (2014). https://doi.org/10.1007/s10773-013-1967-7

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