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Phys. Rev. A 48, 4702–4708 (1993)

Phase-difference operator

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A. Luis and L. L. Sánchez-Soto
Departamento de Optica, Facultad de Ciencias Físicas, Universidad Complutense, 28040 Madrid, Spain

Received 15 March 1993; published in the issue dated December 1993

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.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.48.4702
DOI:
10.1103/PhysRevA.48.4702
PACS:
42.50.Dv, 03.65.-w

See Also

Comment: D. T. Pegg and John A. Vaccaro, Comment on ‘‘Phase-difference operator’’, Phys. Rev. A 51, 859 (1995).

Reply: A. Luis and L. L. Sánchez-Soto, Reply to ‘‘Comment on ‘Phase-difference operator’ ’’, Phys. Rev. A 51, 861 (1995).