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IOSR Journal of Applied Physics

Nonclassical Properties of Even and Odd Semi-Coherent States

H. H. Salah

Published Mar 1, 2017• 0 citations
Publisher

Abstract

Even and odd semi-coherent states have been introduced.Some of the nonclasscial properties of the states are studied in terms of the quadrature squeezing as well as sub-Poissonian photon statistics.The Husimi-Kano Q-function and the phase distribution in the framework of Pegg and Barnett formalism, are also discussed.
DOI
10.9790/4861-0901035967

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Semi-coherent states (semi-CSs) were previously introduced and their nonclassical properties studied. In this paper, we first propose a general formalism for the construction of ‘nonlinear semi-CSs’ as an extension of semi-CSs and then their explicit form in the number state basis is generally deduced. Next, as some physical appearances of the formalism, after choosing two well-known nonlinearity functions, nonclassical features and quantum statistical properties of the associated states are studied by evaluating quadrature squeezing, higher order squeezing and the Mandel parameter, as well as their phase properties and number and phase squeezing of the introduced states. Finally, the results are compared with the properties of semi-CSs.