CORRELATED 2-MODE SU(1,1) COHERENT STATES - NONCLASSICAL PROPERTIES

The properties of correlated two-mode SU(1, 1) coherent states are studied. These states are a generalization of the two-mode squeezed vacuum states and are generated by applying the two-mode squeeze operator to a state in which there are initially q photons in one mode, /q, O>, the squeezed vacuum (q = O) obviously being a special case. For these states the photon-number distribution and the nonclassical properties of photon anti-bunching, enhanced phase fluctuations, violations of the Cauchy-Schwarz inequality, two-mode squeezing, and sum squeezing are studied. A Q-function quasi-probability distribution for these states is also presented.