https://doi.org/10.1007/s100530050564
Nonclassical properties and algebraic characteristics of negative binomial states in quantized radiation fields
CCAST (World Laboratory),
P.O. Box 8730, Beijing 100080, P.R. China
and
Laboratory of Optical Physics, Institute of Physics,
Chinese Academy of Sciences, Beijing 100080, P.R. China
Received:
8
May
1999
Revised:
8
November
1999
Published online: 15 June 2000
We study the nonclassical properties and algebraic characteristics of the negative binomial states introduced by Barnett recently. The ladder operator formalism and displacement operator formalism of the negative binomial states are found and the algebra involved turns out to be the SU(1,1) Lie algebra via the generalized Holstein-Primarkoff realization. These states are essentially Perelomov's SU(1,1) coherent states. We reveal their connection with the geometric states and find that they are excited geometric states. As intermediate states, they interpolate between the number states and geometric states. We also point out that they can be recognized as the nonlinear coherent states. Their nonclassical properties, such as sub-Poissonian distribution and squeezing effect are discussed. The quasiprobability distributions in phase space, namely the Q and Wigner functions, are studied in detail. We also propose two methods of generation of the negative binomial states.
PACS: 42.50.Dv – Nonclassical field states; squeezed, antibunched, and sub-Poissonian states; operational definitions of the phase of the field; phase measurements / 32.80.Pj – Optical cooling of atoms; trapping
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
