https://doi.org/10.1007/s100530050274
Quasidistributions for noncommuting cosine and sine operators
1
Laboratory of Quantum Optics, Faculty of Natural Sciences,
Palacký University, Třída Svobody 26,
771 46 Olomouc, Czech Republic
2
Joint Laboratory of Optics, Palacký University
and Physical Institute of Czech Academy of Sciences,
Třída 17. listopadu 50, 772 07 Olomouc, Czech Republic
Received:
17
February
1998
Revised:
17
July
1998
Accepted:
13
November
1998
Published online: 15 March 1999
A similarity between the photon annihilation and creation operators and the Susskind-Glogower exponential phase operators motivates the introduction and study of quasidistributions of the cosine and sine of phase. These quasidistributions are related to the standard and antistandard orderings of trigonometric phase operators and to the normal, antinormal, and symmetrical orderings of the exponential phase operators. The symmetrical ordering is connected to an optical ideal tomography of the appropriate quasidistribution from the rotated Susskind-Glogower cosine operator.
PACS: 42.50.Dv – Nonclassical field states; squeezed, antibunched, and sub-Poissonian states; operational definitions of the phase of the field; phase measurements
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999
