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Some Statistical Properties of a Non-linear Entangled Pair Coherent State |
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PP: 9-15 |
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Author(s) |
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A. S. -F. Obada,
E. M. Khalil,
M. A. El-Deberky,
S. Sanad,
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Abstract |
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A new type of a non-linear entangled pair coherent state is introduced. Under a certain choice of the non-linear functions
the solution of the recurrence relation is obtained. Phenomenon of squeezing and the Poissonian distribution are examined. It is shown
that the eigenvalue of the photon number sum (the q-parameter) is responsible for some of nonclassical phenomenon. Furthermore, the
quasi-probability distribution functions (theWigner and Q-functions) are discussed. For theWigner function the nonclassical behaviour
is only displayed for odd values of the q-parameter in a restricted subspace. Finally the phase distribution in the framework of Pegg and
Barnett formalism is considered. |
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