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Physica A Statistical Mechanics and its Applications

Generalized superposition of two squeezed states: generation and statistical properties

Yuri Alexandrovish Barbosa, Gil C. Marques, B. Baseia

Published Jun 1, 2000• 20 citations
Publisher
DOI
10.1016/s0378-4371(99)00476-8

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In this paper, the quantum statistical properties of a class of superposed q-deformed generalized coherent states |ψ>=a|β>+beiφ|βeiδ> are studied. The results show that the superposition of q-deformed coherent generalized states generally exhibits squeezing and anti-bunching effects. The change of the phase difference between two generalized coherent states, the phase difference between two superposition coefficients, and both the amplitude and phase of the inner product of two generalized coherent states play important roles in squeezing effect and anti-bunching effect.
In this paper, the quantum statistical properties of the superposition state,a｜ β〉+beiφ｜mβeiδ〉,which involves two arbitrary coh erent states, are investigated. The results show that this kind of super-positio n states generally exhibits squeezing effect or anti-bunching effect. The quantu m effects of the superposed state depend on β2 and the amplitude coe fficient m, as well as the changes of the phase difference between two coherent states δ, and the phase difference between two superposition coefficients φ al so plays an important role in squeezing or anti-bunching effects.