# Generation of discrete superpositions of coherent states in the anharmonic oscillator model

Authors
Type
Published Article
Publication Date
Nov 03, 2011
Submission Date
Nov 03, 2011
Identifiers
DOI: 10.1088/0954-8998/2/3/006
Source
arXiv
The problem of generating discrete superpositions of coherent states in the process of light propagation through a nonlinear Kerr medium, which is modelled by the anharmonic oscillator, is discussed. It is shown that under an appropriate choice of the length (time) of the medium the superpositions with both even and odd numbers of coherent states can appear. Analytical formulae for such superpositions with a few components are given explicitly. General rules governing the process of generating discrete superpositions of coherent states are also given. The maximum number of well distinguished states that can be obtained for a given number of initial photons is estimated. The quasiprobability distribution $Q(\alpha,\alpha^*,t)$ representing the superposition states is illustrated graphically, showing regular structures when the component states are well separated.