S U (3) Squeezing: quantum and semiclassical evolutions

Abstract

In this thesis we describe a squeezing for SU(3) systems and compare squeezing in the phase space in the semiclassical approximation with squeezing obtained by the full quantum mechanical calculation. We show that the equations of motion in phase space for SU(3) Wigner function are given in terms of the Poisson bracket plus quantum correction terms which depend on the inverse dimension of the system. In the semiclassical approximation, for large values of the SU(3) representation label , we can ignore the quantum correction terms and use the truncated Liouville equation; squeezing in SU(3) systems is well described by this truncated Liouville equation. Finally, we find some scaling behaviors associated with squeezing in SU(3) and compare these with the corresponding SU(2) calculations.