On the SU(1, 1) Phase-space Description of Reduced and Squeezed Quantum Fluctuations
Arkadiusz Orłowski, K. Wódkiewicz · Journal of Modern Optics · 1990
We derive a phase-space description of squeezed fluctuations using the SU(1, 1) generalized coherent states. We introduce the coherent-diagonal representation of quantum states, based on squeezed coherent states. In this representation we derive generalized Fokker-Planck equations for a quasi-distribution in phase-space formed by SU(1, 1) states. We solve this equation for different representations of the SU(1, 1) group involving as examples parameteric amplifiers and two-mode upconvertors.