Multiboson Holstein-Primakoff squeezed states for SU(2) and SU(1,1)
Jacob Katriel, A. I. Solomon, Giacomo Mauro D’Ariano, Mario Rasetti · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1986
We define a new set of squeezed states using group-theoretical methods. The definition is based on the Holstein-Primakoff realization of both SU(2) and SU(1,1). Generalizations of these realizations are presented, connected with the Brandt-Greenberg generalized Bose operators. The new states exhibit interesting squeezing properties, depending in a characteristic way on the dimension of the irreducible unitary representation adopted. We also discuss the asymptotic behavior and present a set of relevant numerical results. Unexpected and interesting scaling behavior appears.