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Modern Physics Letters B

ON THE GENERATION OF INTERMEDIATE NUMBER SQUEEZED STATE OF THE QUANTIZED RADIATION FIELD

B. Baseia, Andreísa Fabri Lima, Vanderlei Salvador Bagnato

Published Jun 20, 1996• 10 citations
Publisher

Abstract

Recently, a new state of the quantized radiation field — the intermediate number squeezed state (INSS) — has been introduced in the literature: it interpolates between the number state |n> and the squeezed state |z, α>=Ŝ(z)|α>, and exhibits interesting nonclassical properties as antibunching, sub-Poissonian statistics and squeezing. Here we introduce a slight modification in the previous definition allowing us a proposal to generate the INSS. Nonclassical properties using a new set of parameters are also studied.

DOI
10.1142/s0217984996000742

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Recently, a new state of the quantized radiation field — the intermediate number squeezed state (INSS) — has been introduced in the literature: it interpolates between the number state |n> and the squeezed state |z, α>=Ŝ(z)|α>, and exhibits interesting nonclassical properties as antibunching, sub-Poissonian statistics and squeezing. Here we introduce a slight modification in the previous definition allowing us a proposal to generate the INSS. Nonclassical properties using a new set of parameters are also studied.
In a recent paper we introduced the intermediate number-phase state (INPS) of the quantized radiation field, which interpolates between the number state |n> and the phase state |θ >. Various non-classical properties of the light field in this state (sub-Poissonian statistics, antibunching and squeezing effects) were investigated. Here, looking for a criterion characterizing the INPS as a “good” interpolating state, we investigate the influence of the interpolating parameters upon the variances and uncertainty relation involving the number and phase operators in this state.
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.
Squeezed Displaced Number States of the light were introduced in the recent literature. They exhibit various nonclassical properties as sub-Poissonian statistics, squeezing and oscillations in the photon-numer distribution. Here we investigate other properties of these fields, as waiting-time and photoelectron-counting distributions. We considerably simplify previous calculations in the literature while showing that these states constitute a unified approach for number, coherent, and squeezed states.