Maximum simultaneous squeezing and antibunching in superposed coherent states

Hari Prakash and Pankaj Kumar

Physica A: Statistical Mechanics and its Applications, 2004, vol. 341, issue C, 201-207

Abstract: Maximum simultaneous squeezing and antibunching in the superposition states, |ψ〉=Z1|α〉+Z2|β〉, of two coherent states |α〉 and |β〉, where Z1,Z2,α,β are complex numbers, is studied for the case |α+β|⪢|α−β|. We show that the maximum squeezing for the operator Xθ=X1cosθ+X2sinθ, where Hermitian operator X1,2 are defined by X1+iX2=a, the annihilation operator and θ is the argument of (α+β), with the minimum value 0.11077 of 〈ψ|(ΔXθ)2|ψ〉 and maximum antibunching with the minimum value −0.55692 of Mandel's Q parameter occur for an infinite combinations with α−β=1.59912exp[±i(π/2)+iθ], θ=arg(α+β) and Z1/Z2=exp(α∗β−αβ∗) and with |α+β|⪢|α−β|.

Keywords: Quantum features of light; Coherent state; Squeezing; Sub-Poissonian photon statistics; Displacement operator; Phase shift operator (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:341:y:2004:i:c:p:201-207

DOI: 10.1016/j.physa.2004.04.119

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