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Abstract
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Othman and Yevick [Int. J. Theor. Phys. 57, 2293 (2018)] introduced a new class of states defined as “near” coherent states attached to
the simple harmonic oscillator. Such states can be expressed as superposition of a standard coherent state and a derivative state, which
are neither completely quantum nor completely classical. Here, we introduce photon-added (-depleted) near coherent states [PA(D)NCS]
through “m” times application of creation (annihilation) operators â†(â) to the near coherent state. A general analysis of nonclassical properties
of the PA(D)NCS, such as sub-Poissonian statistics and squeezing effect, is given analytically and numerically in the context of the
conventional quantum optics. We also derive the Wigner distribution function of the PA(D)NCS over phase space which may bear negative
values, which is a good indication of their nonclassical properties. Finally, an experimental procedure for generating the PA(D)NCSs is
established.
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