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Abstract
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We define generalized cat states as linear superpositions of the semi-coherent states. They can be
considered as superpositions of two distinguishable components of the Schrodinger cat states. We study
the statistical properties of the introduced states in detail. The physical properties of these states,
like the sub-Poissonian statistics and normal-order as well as amplitude-squared squeezing effect, are
discussed analytically. Moreover, we find some interesting properties of their optical tomogram derived
in terms of the exponential function. Finally, we suggest a new theoretical framework for preparing
generalized cat states.
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