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 |
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Divisions: | School of Theoretical Physics > Preprints |
Date Deposited: | 06 Jul 2018 08:57 |
Last Modified: | 15 Dec 2022 09:34 |
URI: | https://dair.dias.ie/id/eprint/839 |
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