Methods in Theoretical Quantum Optics, by Stephen M. Barnett and Paul M. Radmore

Ravinder Rupchand Puri

Harald Weinfurter, D. Hoffmann, W. Maaß +9 more

G. S. Agarwal

Tomasz Linowski, Konrad Schlichtholz, Łukasz Rudnicki

The problem of defining a Hermitian quantum phase operator is nearly as old as quantum mechanics itself. Throughout the years, a number of solutions have been proposed, ranging from abstract operator formalisms to phase-space methods. In this work, we make an explicit connection between two of the most prominent approaches by proving that the probability distribution of phase in the Paul formalism follows exactly from the Pegg-Barnett formalism by combining the latter with the quantum-limited amplifier channel. Our findings suggest that the Paul framework may be viewed as a semiclassical limit of the Pegg-Barnett approach.

Alexei Vladimirovich Chizhov, Alexander A. Gusev, Leonid A. Sevastianov +1 more

We propose a new method for describing phase distributions of nonclassical states in optical systems based on the nonnegative quantum distribution function. A comparison of the proposed method with other known methods such as the Pegg-Barnett and operational ones is given.

T. Coudreau, Claude Fabre, Serge Reynaud