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Quantum Optics Journal of the European Optical Society Part B

Phase properties of displaced number states

R. Tanaś, B. K. Murzakhmetov, Tserensodnom Gantsog, Alexei Vladimirovich Chizhov

Published Feb 1, 1992• 43 citations
Publisher

Abstract

Phase properties of the displaced number states are studied. Exact analytical formulae describing phase distributions based on different phase approaches are obtained and illustrated graphically. It is shown that the Pegg-Barnett phase distribution P( theta ) and the phase distribution P w ( theta ) associated with the Wigner function are very close to each other, while the phase distribution P Q ( theta ) associated with the Q function carries less phase information. The results have clear interpretation in terms of the area of overlap in phase space.

DOI
10.1088/0954-8998/4/1/001

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Phase properties of the displaced number states are studied. Exact analytical formulae describing phase distributions based on different phase approaches are obtained and illustrated graphically. It is shown that the Pegg-Barnett phase distribution P( theta ) and the phase distribution P w ( theta ) associated with the Wigner function are very close to each other, while the phase distribution P Q ( theta ) associated with the Q function carries less phase information. The results have clear interpretation in terms of the area of overlap in phase space.
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