A new definition and generalization of squeezed states

Jacob Katriel, A. I. Solomon, Giacomo Mauro D’Ariano +1 more

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.

G. S. Agarwal, R. Simon

A. D. Jannussis, Vasileios Bartzis

Natalia Korolkova, R. Loudon

The impact of the operator-valued commutator on the nonclassical properties of continuous polarization variables is discussed. The definition of polarization squeezing is clarified to exclude those squeezed states which do not contain any new physics beyond quadrature squeezing. We present a consistent derivation of the general nonseparability criterion for the continuous variables with the operator-valued commutator and apply it to the polarization variables.

Natalia Korolkova, R. Loudon

The impact of the operator-valued commutator on nonclassical properties of continuous polarization variables is discussed. The definition of polarization squeezing is clarified to exclude those squeezed states which do not contain any new physics beyond quadrature squeezing. We present a consistent derivation of the general nonseparability criterion for the continuous variables with the operator-valued commutator, and apply it to the polarization variables.

Julien Becker, N. Debergh, Franciszek Hugon Szafraniec