SU(1,1) coherent states interacting with a four-photon medium
Christopher C. Gerry, Charles Johnson · Physical Review A · 1989
We study the time evolution of SU(1,1) coherent states in an exactly solvable model of a single-mode quantized electromagnetic field in a four-photon medium that has previously been shown to give squeezed states from ordinary coherent states. If the SU(1,1) coherent state initially exhibits squeezing in the ${X}_{1}$ quadrature, the squeezing is revoked. We also show that for certain choices of phase in the initial state, enhanced squeezing may appear in the ${X}_{2}$ quadrature. Numerical results are also presented for the case when the model is not exactly solvable.