Statistical properties for a class of nonlinear squeezed states
Department of Physics, Faculty of Education, Suez Canal University, Al-Arish, Egypt
Corresponding author: a email@example.com
Revised: 20 February 2006
Published online: 29 November 2006
In the present paper a class of nonlinear squeezed vacuum and first order excited squeezed states are introduced. Under conditions on the non-linearity function, the first order excited squeezed states are realizations of the SU(1,1) group. However, when the condition of the nonlinear function being unitary is removed, these states are defined as eigenstates of certain operators. Some of the properties of these states are investigated for the case of trapped ions. The normalized second-order correlation function, the phase properties, the quasiprobability distribution function and the position distribution of the nonlinear squeezed vacuum and first order excited squeezed states are discussed.
PACS: 42.50.-p – Quantum optics / 42.50.Dv – Nonclassical states of the electromagnetic field, including entangled photon states; quantum state engineering and measurements
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006