Single-mode squeezed vacuum states as approximate Schr dinger phase cats: relation toSU(1, 1) phase operators
Christopher C. Gerry, Adil Benmoussa, Kimberley M. Bruno · Journal of Optics B Quantum and Semiclassical Optics · 2003
We study the eigenstates of the square of the phase operator for a single-mode field, and show that they are given as superpositions of macroscopically distinguishable phase states, which we call Schrödinger phase cats, the phase states being eigenstates of the phase operator. Those solutions that are also eigenstates of the parity operator with even parity are shown to be very similar to the squeezed vacuum states over a range of relevant parameters. Thus, it is possible to consider some squeezed vacuum states as approximate Schrödinger phase-cat states. We discuss the connections to the phase states of the SU (1, 1) phase operators for various realizations and representations.