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

Quantum Effects in the Interaction of an Anharmonic Oscillator with Binomial and Squeezed Coherent Fields

Amitabh Joshi, Ravinder Rupchand Puri

Published Mar 1, 1991• 1 citation
Publisher

Abstract

We show that a single mode of an electromagnetic field in the binomial state or in the squeezed coherent state, propagating in a non-absorbing nonlinear medium modelled as an anharmonic oscillator, gives rise to interesting quantum effects such as collapses and revivals in the energy exchange between the field and the medium. Analytic expressions are obtained for the energy exchange variable. We have exploited the characteristics of the binomial state which provides a means of systematic study of the collapses and revivals with variation in the field statistics from Poissonian to sub-Poissonian. Effects of variation in initial squeezing in the field are also included.

DOI
10.1080/09500349114552721

Related papers

SQUEEZING AND OTHER NON-CLASSICAL FEATURES IN k-PHOTON ANHARMONIC OSCILLATOR IN BINOMIAL AND NEGATIVE BINOMIAL STATES OF THE FIELD

Amitabh Joshi, S. V. Lawande

A systematic study of squeezing obtained from k-photon anharmonic oscillator (with interaction hamiltonian of the form (a†)kak, k ≥ 2) interacting with light whose statistics can be varied from sub-Poissonian to poissonian via binomial state of field and super-Poissonian to poissonian via negative binomial state of field is presented. We predict that for all values of k there is a tendency increase in squeezing with increased sub-Poissonian character of the field while the reverse is true with super-Poissonian field. We also present non-classical behavior of the first order coherence function explicitly for k = 2 case (i.e., for two-photon anharmonic oscillator model used for a Kerr-like medium) with variation in the statistics of the input light.

Modern Physics Letters B•Jan 20, 1990•2 citations

Effects of the Binomial Field Distribution on Collapse and Revival Phenomena in the Jaynes-Cummings Model

Amitabh Joshi, Ravinder Rupchand Puri

The dynamical properties of a two-level atom interacting with a single non-decaying mode of an electromagnetic field in a binomial state are studied. The statistical aspects of the field, such as intensity-intensity correlation and squeezing, are also investigated. The binomial state reduces to a pure number state and a pure coherent state in different limits. Hence it enables us to study how the sinusoidal Rabi oscillations in a pure number state develop to give rise to the phenomenon of collapse and revival which has been studied extensively in the coherent-state field. In addition, the binomial state exhibits squeezing for certain values of parameters, but it is not a minimum-uncertainty-product state.

Journal of Modern Optics•Nov 1, 1987•66 citations

Interaction of squeezed light with a Kerr medium

Arup Banerjee

The author considers interaction of squeezed light with a non-linear Kerr medium modelled as an anharmonic oscillator. Evolution of quantum fluctuations in the field amplitude and the first-order coherence function have been studied for both the sub-Poissonian and super-Poissonian statistics. Further, the author has also investigated the effect of the squeezing parameter of the initial state. The results for the first-order coherence function are obtained analytically.

Quantum Optics Journal of the European Optical Society Part B•Feb 1, 1993•5 citations

Collapse and revival phenomenon in the evolution of a resonant field in a Kerr-like medium

G. S. Agarwal, Ravinder Rupchand Puri

A quantum theory of the propagation of a single-mode resonant field through a Kerr-like medium is given. Numerical studies show the existence of the quantum collapses and revivals in the otherwise periodic exchange of energy between the field and the atomic oscillator. Approximate analytical methods are developed to explain the numerical results for the case of weak nonlinearity of the Kerr medium. For large nonlinearity, the correspondence with the Jaynes-Cummings model is discussed.

Physical Review A•Mar 1, 1989•140 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

Effects of the Binomial Field Distribution on Collapse and Revival Phenomena in a Three-level Atom

M. E. Goggin, M. P. Sharma, A. Gavrielides

The photon field dynamics of a single non-decaying mode of a quantized electromagnetic field in a binomial state interacting with a three-level system is studied non-perturbatively. It is found that the phenomenon of collapse and revival is not only sensitive to the initial photon statistics, but also to photon density, coupling constants and detunings.

Journal of Modern Optics•Jan 1, 1990•8 citations
We show that a single mode of an electromagnetic field in the binomial state or in the squeezed coherent state, propagating in a non-absorbing nonlinear medium modelled as an anharmonic oscillator, gives rise to interesting quantum effects such as collapses and revivals in the energy exchange between the field and the medium. Analytic expressions are obtained for the energy exchange variable. We have exploited the characteristics of the binomial state which provides a means of systematic study of the collapses and revivals with variation in the field statistics from Poissonian to sub-Poissonian. Effects of variation in initial squeezing in the field are also included.
A systematic study of squeezing obtained from k-photon anharmonic oscillator (with interaction hamiltonian of the form (a†)kak, k ≥ 2) interacting with light whose statistics can be varied from sub-Poissonian to poissonian via binomial state of field and super-Poissonian to poissonian via negative binomial state of field is presented. We predict that for all values of k there is a tendency increase in squeezing with increased sub-Poissonian character of the field while the reverse is true with super-Poissonian field. We also present non-classical behavior of the first order coherence function explicitly for k = 2 case (i.e., for two-photon anharmonic oscillator model used for a Kerr-like medium) with variation in the statistics of the input light.
The dynamical properties of a two-level atom interacting with a single non-decaying mode of an electromagnetic field in a binomial state are studied. The statistical aspects of the field, such as intensity-intensity correlation and squeezing, are also investigated. The binomial state reduces to a pure number state and a pure coherent state in different limits. Hence it enables us to study how the sinusoidal Rabi oscillations in a pure number state develop to give rise to the phenomenon of collapse and revival which has been studied extensively in the coherent-state field. In addition, the binomial state exhibits squeezing for certain values of parameters, but it is not a minimum-uncertainty-product state.
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.