Physics – Quantum Physics
Scientific paper
1999-04-07
Eur.Phys.J.D10:415-422,2000
Physics
Quantum Physics
17 pages, 5 figures, Accepted in EPJ D
Scientific paper
10.1007/s100530050564
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 Peremolov'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.
Pan Shao-Hua
Wang Xiao Guang
Yang Guo-Zhen
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