Bell's inequalities, multiphoton states and phase space distributions

Details Bell's inequalities, multiphoton states and phase space distributions Bell's inequalities, multiphoton states and phase space distributions

1998-06-14

arxiv.org/abs/quant-ph/9806049v1

Phys.Lett. A259 (1999) 421-426

Physics

Quantum Physics

16-pages in revtex with three ps figure included using epsf

Scientific paper

10.1016/S0375-9601(99)00471-5

The connection between quantum optical nonclassicality and the violation of Bell's inequalities is explored. Bell type inequalities for the electromagnetic field are formulated for general states of quantised radiation and their violation is connected to other nonclassical properties of the field. This is achieved by considering states with an arbitrary number of photons and carefully identifying the hermitian operators whose expectation values do not admit any local hidden variable description. We relate the violation of these multi-photon inequalities to properties of phase space distribution functions such as the diagonal coherent state distribution function and the Wigner function. Finally, the family of 4-mode states with Gaussian Wigner distributions is analysed, bringing out in this case the connection of violation of Bell type inequalities with the nonclassical property of squeezing.

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