Multiboson Holstein-Primakoff Squeezed States for SU(2) and SU(1,1)

Katriel, J. and Solomon, Allan I. and D'Ariano, G. M. and Rasetti, Mario (1986) Multiboson Holstein-Primakoff Squeezed States for SU(2) and SU(1,1). (Preprint)

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Abstract

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 behaviour and present a set of relevant numerical results. Unexpected and interesting scaling behaviour appears.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 06 Jul 2018 08:57
Last Modified: 24 Jul 2018 09:39
URI: http://dair.dias.ie/id/eprint/839

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