Quantum Interference in the Kirkwood-Rihaczek representation

Abstract

We discuss the Kirkwood-Rihaczek phase space distribution and analyze a whole new class of quasi-distributions connected with this function. All these functions have the correct marginals. We construct a coherent state representation of such functions, discuss which operator ordering corresponds to the Kirkwood-Rihaczek distribution and their generalizations, and show how such states are connected to squeezed states. Quantum interference in the Kirkwood-Rihaczek representation is discussed.

10 pages, 7 figures

References in corpus (2)

• Direct measurement of the Wigner function by photon counting
• Hydrogen atom in phase space. The Kirkwood-Rihaczek representation

Cited by in corpus (7)

• Observing Dirac's classical phase space analog to the quantum state
• Nonclassical Properties of Coherent States
• Superposition of two nonlinear coherent states $\frac{\pi }{2}$ out of phase and their nonclassical properties
• Wigner function and Schroedinger equation in phase space representation
• Nonclassicality of Thermal Radiation
• Direct Measurement of Kirkwood-Rihaczek distribution for spatial properties of coherent light beam
• Talbot effect in cylindrical waveguides