SQUEEZED STATES - OPERATORS FOR 2 TYPES OF ONE-MODE AND 2-MODE SQUEEZING TRANSFORMATIONS

We find that the exponential operators U=exp[-i(s1Q1P2+s2Q2P1] and W=exp[-i(s1Q1Q2-s2pP1P2)] (where s1 and s2 are real; Pi and Qi are coordinate and momentum operators, respectively; and i=1,2) are two types of generalized squeezing operators responsible for generating two types of one- and two-mode combination squeezed states, respectively. The coordinate and/or momentum representations of U and W are presented, and their normal product forms are first derived in terms of the newly developed technique of integration within an ordered product, which provides us with a direct approach to constructing these new squeezed states. The fluctuations in quadrature phases for these states are analyzed. © 1990 The American Physical Society.