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Abstract
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In this paper, we use a para-Bose operator to construct new kinds of excited para-Bose states.
These states may be considered as appropriate and linear combinations of the para-Bose Fock states.
We prove that these states satisfy a closure relation that is expressed uniquely in terms of the Meijer
G-function. We examine the nonclassical properties of these states, by evaluating para-Bose Fock state
distribution, Mandel’s parameter, second-order coherence function and quadrature squeezing. It results
that the introduced excited para-Bose states show both the nonclassical and semiclassical statistics on
their Fock state distribution. We also show that these states lack second-order coherence, i.e. they are not
full coherent. Interestingly, the non-classicality of these states is controlled by the deformation parameter
and number of excitation, where both parameters might be feasible for fine tuning in the trapped-ion
quantum simulation.
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