Quantum phase superoperator and antinormal ordering of the Susskind-Glogower phase operators

Constantin Brif, Y. Ben-Aryeh

A quantum phase description is developed by the use of the antinormal ordering of Susskind-Glogower phase operators. The theory is studied in the infinite-dimensional Hilbert space and it is closely related to the Pegg-Barnett quantum phase description in the finite-dimensional Hilbert space with a proper limiting procedure. Various applications of the antinormal ordering technique are presented.

Yee Kin Tsui

Jan Peřina

Vlasta Peřinová, A. Lukš, J. Křepelka

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.

Robert L. Fanelli, R. E. Struzynski

Y. Ben-Aryeh

State reduction processes in different types of photodetection experiments are described by using different kinds of ladder operators. A special model of discrete photodetection is developed by the use of superoperators which are based on the Susskind-Glogower raising and lower operators. The possibility to realize experimentally the discrete photodetection scheme in a micromaser is discussed.