2-MODE INTELLIGENT SU(1,1) STATES

Using the two-mode realization of the su(1,1) Lie algebra, we define new states that equalize the su(1,1) uncertainty relation. We refer to these as two-mode intelligent SU(1,1) states. Due to strong correlations between modes, these states exhibit nonclassical properties such as sub-Poissonian statistics, violations of the Cauchy-Schwarz inequality, squeezing in the superposition of the modes, and sum squeezing. We also study the phase distributions of the states and propose a mechanism by which they may be generated. © 1995 The American Physical Society.