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Journal of Modern Optics

Generation and Properties of Superpositions of Displaced Fock States

H. M. Moya-Cessa

Published Aug 1, 1995• 50 citations
Publisher

Abstract

We study the statistical properties of superpositions of displaced Fock states. We find that for the superposition of the form ¦ψ1〉 = 1/√2(¦α, n〉 + ¦α, k〉) the direction of the displacement (α positive or negative) plays an important role; also, if n = 1 and k = 0 a strong sub-Poissonian character is found for α ≥ 0. We also analyse the ways in which superpositions of displaced Fock states may be generated.

DOI
10.1080/09500349514551521

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We study the statistical properties of superpositions of displaced Fock states. We find that for the superposition of the form ¦ψ1〉 = 1/√2(¦α, n〉 + ¦α, k〉) the direction of the displacement (α positive or negative) plays an important role; also, if n = 1 and k = 0 a strong sub-Poissonian character is found for α ≥ 0. We also analyse the ways in which superpositions of displaced Fock states may be generated.
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The s-parametrized characteristic function for the superposition of squeezed displaced Fock states (SDFSs) is given. The s-parametrized distribution functions for the superposition of SDFSs are investigated. Various moments are calculated by using this characteristic function. The Glauber second-order coherence function is calculated. The squeezing properties of the superposition of SDFSs are studied. Analytical and numerical results for the quadrature component distributions for the superposition of a pair of SDFSs are presented. A generation scheme is discussed.