Phase-difference operator
Author(s) -
Alfredo Luis,
L. L. Sánchez-Soto
Publication year - 1993
Publication title -
physical review a
Language(s) - English
Resource type - Journals
eISSN - 1094-1622
pISSN - 1050-2947
DOI - 10.1103/physreva.48.4702
Subject(s) - physics , operator (biology) , eigenvalues and eigenvectors , field (mathematics) , unitary state , electromagnetic field , limit (mathematics) , unitary operator , displacement operator , quantum mechanics , exponential function , spectrum (functional analysis) , phase (matter) , mode (computer interface) , mathematical physics , mathematical analysis , pure mathematics , quasinormal operator , finite rank operator , hilbert space , mathematics , repressor , transcription factor , gene , biochemistry , chemistry , banach space , political science , computer science , law , operating system
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
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