Geometric squeezing of su(2) and su(1,1) observables - Hubert de Guise

I will discuss squeezing properties of su(2) and su(1,1) intelligent states. It will be seen how squeezing of appropriate observables can be automatically achieved if the correct intelligent state (of su(2) or su(1,1) ) can be prepared. This preparation can be done ˇ°geometricallyˇ± using group transformations and without recourse to a non-linear medium. A qualitative analysis, based on Wigner- and Q-functions will be presented to gain insight into the results. Whether or not these states can be experimentally prepared is an open question.