Beam Splitter Entangler for Nonlinear Bosonic Fields¹

S. Abdel-Khalek^{a, b}, K. Berrada^{c, d, e,} *, and C. H. Raymond Ooi^f

^aMathematics Department, Faculty of Science, Sohag University, 82524 Sohag, Egypt

^bMathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia

^cThe Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Miramare-Trieste, Italy

^dLaboratoire de Physique Th´eorique, Facult´e des Sciences,
Université Mohammed V-Agdal, Av. Ibn Battouta, B.P. 1014, Agdal Rabat, Morocco

^eDepartment of Physics, Al-Imam Muhammad Ibn Saud Islamic University, Riyadh, Saudi Arabia

^fDepartment of Physics, University of Malaya, 50603 Kuala Lumpur, Malaysia

kberrada@ictp.it

Received February 13, 2012; published online August 1, 2012

Abstract—Some years ago Katriel and Solomon [1] described applications to the characterization of the pho-
ton statistics of nonideal lasers, nonclassical light, and deformed photon states using f-deformed coherent states.
In this letter, we study the effect of a beam splitter on these nonlinear coherent states. We find that these states
are useful for generating quantum entanglement as the deformation parameter gets farther form the unity and
for strong input field regimes. The results are confirmed through the Werhl entropy.

DOI: 10.1134/S1054660X12090010

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