Multiboson Holstein-Primakoff squeezed states for SU (2) and SU (1, 1)

Oct 15, 1986
6 pages
Published in:
  • Phys.Rev.D 34 (1986) 2332-2338

Citations per year

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Abstract: (APS)
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.
  • 03.65.Fd
  • 02.20.+b