Even and odd nonlinear charge coherent states and their nonclassical properties

Physics – Quantum Physics

Scientific paper

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33 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:quant-ph/0306130 and arXiv:quant-ph/0503076

Scientific paper

The (over)completeness of even and odd nonlinear charge coherent states is proved and their generation explored. They are demonstrated to be generalized entangled nonlinear coherent states. A $D$-algebra realization of the SU$_f$(1,1) generators is given in terms of them. They are shown to exhibit SU$_f$(1,1) squeezing and two-mode $f$-antibunching for some particular types of $f$-nonlinearity, but neither one-mode nor two-mode $f$-squeezing.

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