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

Journal of Modern Optics

Superposition of displaced number states and interference effects

CELIA M. A. DANTAS, José Rildo de Oliveira Queiroz, B. Baseia

Published May 1, 1998• 11 citations
Publisher

Abstract

We introduce a new state of light field by superposing two displaced number states having a phase difference between them in the phase space. The influence of this phase upon its various non-classical properties is investigated, including a discussion on the generation of this state, which contains as particular cases important states studied in the literature.

DOI
10.1080/09500349808230899

Related papers

Properties of displaced number states

F. A. M. de Oliveira, M. S. Kim, P. L. Knight +1 more

Recent developments in quantum optics have led to new proposals to generate number states of the electromagnetic field using conditioned measurement techniques or the properties of atom-field interactions in microwave cavities in the micromaser. The number-state field prepared in such a way may be transformed by the action of a displacement operator; for the microwave micromaser state this could be implemented by the action of a classical current that drives the cavity field. We evaluate some properties of such displaced number states, especially their description in phase space. The photon number distribution is shown to display unusual oscillations, which are interpreted as interference in phase space, analogous to Franck-Condon oscillations in molecular spectra. The possibility of detecting these oscillations is discussed, through the photodetection counting statistics of the displaced number states. We show that the displaced-number-state quantum features are relatively robust when dissipation of the field energy is included.

Physical Review A•Mar 1, 1990•334 citations

Generalized Superposition of Two Coherent States and Interference Effects

Regiane Ragi, B. Baseia, Vanderlei Salvador Bagnato

We introduce a generalized superposition of two coherent states to investigate interference effects between them and their influences upon nonclassical effects. The role played by the involved parameters on each nonclassical effect is shown, including a proposal for generating this state and its application. The present scheme constitutes an unified approach, including various important states studied in the literature.

International Journal of Modern Physics B•Jun 10, 1998•11 citations

EVEN AND ODD DISPLACED NUMBER STATE

Guilherme Colherinhas, Paulo S. Melo, CELIA M. A. DANTAS +1 more

In this paper we will study the statistical properties of a generalized superposition of two displaced number states of the form, [Formula: see text] with a phase difference of φ between them. A particular case of this state is obtained when we consider n1=n2=n and α1=-α2=α, which we will call even and odd displaced number state. It will be shown that they are the generalization of the even and odd coherent states. The generation of this states, based on the dispersive interaction with a two-level atom, will also be discussed.

Modern Physics Letters B•Nov 20, 2005•1 citation

Quantum Superpositions of Binomial States of Light

A. Vidiella-Barranco, José Antonio Roversi

We introduce new kinds of states of electromagnetic field, which are quantum superpositions of binomial states. They not only exhibit remarkable non-classical properties but can also interpolate between the ‘Schrödinger cat’ type of states and the number states in a particularly interesting way. We basically discuss some of their main statistical properties, as well as schemes for their generation. We also employ quasiprobability distributions in phase space.

Journal of Modern Optics•Dec 1, 1995•16 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

Quantum Theory of Interference Effects Produced by Independent Light Beams

L. Mandeļ

The conditions are examined under which interference effects should be observable in the superposition of two light beams derived from independent sources. The quantum-mechanical description of these effects differs from the classical description principally in that it is necessarily based on expectation values of the light intensity at one or more space-time points. It is shown that pure states of the radiation field which are not energy states give rise to interference effects, but in that case the two beams cannot meaningfully be described as statistically independent. For a realistic description mixed states have to be introduced, when the expectation value of the intensity gives no indication of interference effects. On the other hand, the intensity correlation at two space-time points is a periodic function of the separation of the points and indicates the presence of transient interference effects. The effects become readily observable only when the average photon occupation number of each cell of phase space is appreciably greater than 1, and this explains why laser beams were needed for the experimental observations. It is pointed out that, even in these experiments, each photon may be regarded as interfering only with itself.

Physical Review•Apr 6, 1964•54 citations
We introduce a new state of light field by superposing two displaced number states having a phase difference between them in the phase space. The influence of this phase upon its various non-classical properties is investigated, including a discussion on the generation of this state, which contains as particular cases important states studied in the literature.
Recent developments in quantum optics have led to new proposals to generate number states of the electromagnetic field using conditioned measurement techniques or the properties of atom-field interactions in microwave cavities in the micromaser. The number-state field prepared in such a way may be transformed by the action of a displacement operator; for the microwave micromaser state this could be implemented by the action of a classical current that drives the cavity field. We evaluate some properties of such displaced number states, especially their description in phase space. The photon number distribution is shown to display unusual oscillations, which are interpreted as interference in phase space, analogous to Franck-Condon oscillations in molecular spectra. The possibility of detecting these oscillations is discussed, through the photodetection counting statistics of the displaced number states. We show that the displaced-number-state quantum features are relatively robust when dissipation of the field energy is included.
In this paper we will study the statistical properties of a generalized superposition of two displaced number states of the form, [Formula: see text] with a phase difference of φ between them. A particular case of this state is obtained when we consider n1=n2=n and α1=-α2=α, which we will call even and odd displaced number state. It will be shown that they are the generalization of the even and odd coherent states. The generation of this states, based on the dispersive interaction with a two-level atom, will also be 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.
The conditions are examined under which interference effects should be observable in the superposition of two light beams derived from independent sources. The quantum-mechanical description of these effects differs from the classical description principally in that it is necessarily based on expectation values of the light intensity at one or more space-time points. It is shown that pure states of the radiation field which are not energy states give rise to interference effects, but in that case the two beams cannot meaningfully be described as statistically independent. For a realistic description mixed states have to be introduced, when the expectation value of the intensity gives no indication of interference effects. On the other hand, the intensity correlation at two space-time points is a periodic function of the separation of the points and indicates the presence of transient interference effects. The effects become readily observable only when the average photon occupation number of each cell of phase space is appreciably greater than 1, and this explains why laser beams were needed for the experimental observations. It is pointed out that, even in these experiments, each photon may be regarded as interfering only with itself.