Archivio Istituzionale della RicercaWe 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.
Multiboson Holstein-Primakoff squeezed states for SU(2) and SU(1,1) / J., Katriel; A. I., Solomon; G., D’Ariano; Rasetti, Mario. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - 34:8(1986), pp. 2332-2338. [10.1103/PhysRevD.34.2332]
Multiboson Holstein-Primakoff squeezed states for SU(2) and SU(1,1)
RASETTI, Mario
1986
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 behavior and present a set of relevant numerical results. Unexpected and interesting scaling behavior appears.
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https://hdl.handle.net/11583/1847091
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