Operator formalism for the Wigner phase distribution

Details Operator formalism for the Wigner phase distribution Operator formalism for the Wigner phase distribution

2010-09-21

arxiv.org/abs/1009.4030v1

Journal of Modern Optics, 58: 9, 761 - 765, 18 April 2011

Physics

Quantum Physics

5 pages

Scientific paper

10.1080/09500340.2011.569859

The probability distribution for finding a state of the radiation field in a particular phase is described by a multitude of theoretical formalisms; the phase-sensitivity of the Wigner quasi-probability distribution being one of them. We construct a hermitian phase operator for this Wigner phase. We show that this operator is complete and also elucidate a set of complete but non-orthogonal states that seems to be naturally associated with such an operator. Further we show that our operator satisfies a weak equivalence relation with the Pegg-Barnett operator, thus showing that the essential phase information furnished by both formalisms are the same. It is also shown that this operator gives results which are in correct agreement with the expected uniform phase distribution of a Fock state.

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