Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physica Scripta

Intermediate number coherent state of the quantized radiation field

B. Baseia, Silvio Cesar Garcia Granja, Gil C. Marques

Published Jun 1, 1997• 6 citations
Publisher

Abstract

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.

DOI
10.1088/0031-8949/55/6/012

Related papers

Alternative Strategy to the Binomial State

CELIA M. A. DANTAS, B. Baseia, Vanderlei Salvador Bagnato

We investigate an intermediate state of light field which interpolates between a number state | N ⟩ and a coherent state | α⟩, thus constituting an alternative to the binomial state. Comparison of nonclassical effects emerging from these two scenarios is discussed. Additional discussion concerning photon-number distribution is also considered.

Physica Scripta•Aug 1, 1998•0 citations

INTERMEDIATE NUMBER-SQUEEZED STATE OF THE QUANTIZED RADIATION FIELD

B. Baseia, Andreísa Fabri Lima, A. J. da Silva

Following previous strategies by Stoler et al. which introduced the binomial state and Baseia et al. which introduced the intermediate number phase state, we introduce a new intermediate state of the quantized radiation field, which reduces to the number state and squeezed state in two different limits. This interpolating state exhibits nonclassical effects as sub-Poissonian, antibunching and squeezing, obtained from the corresponding expressions as function of the interpolating parameters.

Modern Physics Letters B•Oct 30, 1995•26 citations

On a new intermediate state of the quantized radiation field

Andreísa Fabri Lima, B. Baseia, Gil C. Marques

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.

Journal of Modern Optics•Apr 1, 1996•14 citations

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

B. Baseia, Andreísa Fabri Lima, Vanderlei Salvador Bagnato

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.

Modern Physics Letters B•Jun 20, 1996•10 citations

A generalized nonclassical state of the radiation field and some of its properties

Pinaki Roy, Barnana Roy

We construct a generalized nonclassical state of the quantized radiation field (which in different limits yields the vacuum state, the number state, the binomial state, the negative binomial state and the coherent state) and examine various nonclassical properties of this state.

Journal of Physics A Mathematical and General•Nov 7, 1997•15 citations

Statistical and phase properties of the binomial states of the electromagnetic field

A. Vidiella-Barranco, José Antonio Roversi

We investigate the nonclassical properties of the single-mode binomial states of the quantized electromagnetic field. We concentrate our analysis on the fact that the binomial states interpolate between the coherent states and the number states, depending on the values of the parameters involved. We discuss their statistical properties, such as squeezing (second and fourth order) and sub-Poissonian character. We show how the transition between those two fundamentally different states occurs, employing quasiprobability distributions in phase space, and we provide, at the same time, an interesting picture for the origin of second-order quadrature squeezing. We also discuss the phase properties of the binomial states using the Hermitian-phase-operator formalism.

Physical Review A•Dec 1, 1994•93 citations
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.
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.
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.
We investigate the nonclassical properties of the single-mode binomial states of the quantized electromagnetic field. We concentrate our analysis on the fact that the binomial states interpolate between the coherent states and the number states, depending on the values of the parameters involved. We discuss their statistical properties, such as squeezing (second and fourth order) and sub-Poissonian character. We show how the transition between those two fundamentally different states occurs, employing quasiprobability distributions in phase space, and we provide, at the same time, an interesting picture for the origin of second-order quadrature squeezing. We also discuss the phase properties of the binomial states using the Hermitian-phase-operator formalism.