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Physica Scripta

Alternative Strategy to the Binomial State

CELIA M. A. DANTAS, B. Baseia, Vanderlei Salvador Bagnato

Published Aug 1, 1998• 0 citations
Publisher

Abstract

We investigate an intermediate state of light field which interpolates between a number state | N ⟩ and a coherent state | α⟩, thus constituting an alternative to the binomial state. Comparison of nonclassical effects emerging from these two scenarios is discussed. Additional discussion concerning photon-number distribution is also considered.

DOI
10.1088/0031-8949/58/2/008

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Modern Physics Letters B•Jan 10, 1997•0 citations
We investigate an intermediate state of light field which interpolates between a number state | N ⟩ and a coherent state | α⟩, thus constituting an alternative to the binomial state. Comparison of nonclassical effects emerging from these two scenarios is discussed. Additional discussion concerning photon-number distribution is also considered.
We introduce an intermediate state of the light field which is alternative to the binomial state introduced by Stoler et al., thus interpolating bet seen the number state \\n > and the coherent state \\alpha >. A comparison between their properties shows that the amount of nonclassical effects obtained in the present state can be greater than that obtained in the binomial state, depending on the values of the interpolating parameters and the excitations n and <(n)over bar (alpha)>. Quantum coherence effect exhibited by the present state is also discussed.
Recently, we introduced a new version of the Jaynes–Cummings model in which the interaction Hamiltonian is independent of the excitation number, or field intensity. Exact solution for this model was found allowing the study of nonclassical effects exhibited by the atom and the field, the latter initially in a coherent state. Here, we extend this study to the case of a field initially in the binomial state to investigate those nonclassical effects, as population trapping and sub-Poissonian statistics as function of the interpolating parameters of this state. The previous results are obtained from the present treatment, in the limit of a coherent state allowed by the binomial state.