Conditional displacement operator for traveling fields

Details Conditional displacement operator for traveling fields Conditional displacement operator for traveling fields

2007-07-05

arxiv.org/abs/0707.0770v1

Physics

Quantum Physics

Scientific paper

10.1016/j.optcom.2008.01.056

We show that the conditional displacement operator $\hat{U}_{CD}=\exp [\hat{b}^{\dagger}\hat{b}(\beta \hat{a}^{\dagger}-\beta ^{\ast}\hat{a})]$ acting upon an arbitrary state of traveling waves can be well approximated by the action of a Kerr medium placed between two beam splitters whose respective second ports are fed by highly excited coherent states. Applications to the generation of nonclassical states and measurement of Wigner function of arbitrary states are also considered.

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