Phase-difference operator

Luis Aina, Alfredo; Sánchez Soto, Luis Lorenzo

Phase-difference operator

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Official URL

http://dx.doi.org/10.1103/PhysRevA.48.4702

Publication date

1993

Authors

Luis Aina, Alfredo

Sánchez Soto, Luis Lorenzo

Publisher

American Physical Society

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URI

https://hdl.handle.net/20.500.14352/59792

Citation

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Abstract

We introduce a unitary operator representing the exponential of the phase difference between two modes of the electromagnetic field. The eigenvalue spectrum has a discrete character that is fully analyzed. We relate this operator with a suitable polar decomposition of the Stokes parameters of the field, obtaining a natural classical limit. The cases of weakly and highly excited states are considered, discussing to what extent it is possible to talk about the phase for a single-mode field. This operator is applied to some interesting two-mode fields.

Description

© 1993 The American Physical Society. The authors would like to thank Professor A. Galindo and Professor R. Tanas for a critical reading of the manuscript and useful comments. They are grateful as well to Professor J.F. Carinena for helpful and enlightening discussions of some rather technical points. Finally, they benefited from the continuous interest and advice of Professor E. Bernabeu.