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

Acta Physica Sinica

STATISTICAL PROPERTIES OF SU(1,1)COHERENT STATES OF LIGHT AND ITS INFLUENCE N DYNAMICAL BEHAVIORS OF THE ATOM

Eng J

Published Jan 1, 1994• 0 citations
OpenAlex

Abstract

Abstract In this paper, we study the properties of two kinds of SU(1.1) coherent statesof light with Bargman index k=1/4 andk=3/4 and show that they posses diffe-rent quantum statistical properties. The atomic dynamical behavior in a two-photonJaynes-Cummings model with initial SU(1,1) coherent state field are discussed. Weshow that the time evolution of atomic inversion displays peculiar periodic oscilla-tion and pulse which are very different from coherent states of light.

Related papers

STATISTICAL PROPERTIES OF SU(1,1) COHERENT STATES OF LIGHT AND ITS INFLUENCE ON DYNAMICAL BEHAVIORS OF THE ATOM

LU HONG, PENG JIN-SHENG, (1)激光技术国家重点实验室,华中师范大学物理系,湖南常德师范专科学校物理系; (2)激光技术国家重点实验室,华中师范大学物理系,中国高等科学技术中心(世界实验室)

In this paper, we study the properties of two kinds of SU(1,1) coherent states of light with Bargman index k=1/4 and k=3/4 and show that they posses different quantum statistical properties. The atomic dynamical behavior in a two-photon Jaynes-Cummings model with initial SU(1,1)coherent state field are discussed. We show that the time evolution of atomic inversion displays peculiar periodic oscillation and pulse which are very different from coherent states of light.

Acta Physica Sinica•Jan 1, 1994•0 citations

DYNAMICS OF TWO-MODE SU(1,1) COHERENT STATES INTERACTING WITH THE V-TYPE THREE-LEVEL ATOM

Peng Jia

In this paper, we in vestigate the influence of the interaction between correla-ted two-mode SU(1,1) coherent states and a V type three-level atom on the ato-mic dynamic behavior, and discuss the time evolution of the quantum statistical pro-perties of two-mode field. The Rabi oscillations show complete different character~3 compared with initial two-mode squeezed vacuum states or SU(2) coherent states.

Acta Physica Sinica•Jan 1, 1995•0 citations

STATISTICAL PROPERTIES OF SUPERPOSITION OF ODD AND EVEN SU(1,1) COHERENT STATES

LU HONG, Guo Guang-Can, (1)广东佛山科学技术学院应用物理与通信工程系,佛山 528000;中国科学技术大学物理系和非线性科学中心,合肥 230026; (2)中国科学技术大学物理系和非线性科学中心,合肥 230026

We study the statistical properties in the superpositions of SU(1,1) coherent states |ζ,k〉and |ζ,k〉. The even SU(1,1) coherent state (|ζ,1/4〉) and odd SU(1,1) coherent state (|ζ,3/4〉) correspond to squeezed vacuum state and squeezed one photon number state, respectively. It is shown that the superposed states can exhibit much stronger squeezing and antibunching for the suitable phase of ζ and the relative phase in superposition. We also propose a method of generating such superposed states.

Acta Physica Sinica•Jan 1, 1999•1 citation

The quantum dynamics of two-mode SU(1,1) coherent state interacting with a four-level atom

Xie Fang-sen

The state function of the two-mode SU(1,1) coherent states field interacting with a four-level atom is derived by means of quantum theory.It is studied that the two-mode intensity correlation function,the Cauchy-Schwartz inequality and the second-order coherence properties for each mode of the light field in the system of the two-mode SU(1,1) coherent states field interacting with four-level atom.It is discussed that the influence of the coupling coefficient between the light field and atom and the initial intensity of the light field on file quantum dynamics of the light field.The results of the studies indicate that the statistic properties of the photon depend on the initial state of the system,the correlation of the two-mode of light is both positive and non-classical,the photon anti-bunching of the first mode appear at all time,and the photon bunching and anti-bunching of the second mode appear alternately.

Jiguang zazhi•Jan 1, 2009•0 citations

Dynamics of a two-mode two-photon Jaynes–Cummings model interacting with correlated SU(1, 1) coherent states

Christopher C. Gerry, Ronald F. Welch

We study the quantum dynamics of a two-mode two-photon Jaynes–Cummings model of a two-level atom interacting with the correlated two-mode SU(1, 1) coherent states. The collapse and revival patterns in this case are noted to be quite different from those in the case of uncorrelated coherent states and correlated pair-coherent states. As an example of the time evolution of the field statistics we show that violation of the Cauchy–Schwartz inequality by the initial field states may be nullified. We also discuss the evolution of the variance of the two-mode field quadrature operator.

Journal of the Optical Society of America B•Feb 1, 1992•36 citations

INFLUENCE OF SUPERPOSITION OF COHERENT STATES OF LIGHT ON THE EVOLUTION OF THE FIELD ENTROPY AND ENTANGLEMENT IN THE INTENSITY-DEPENDENT JCM

A.‐S. F. Obada, H. A. Hessian

We investigate the influence of superposition of coherent states of light on population inversion and the evolution of the field entropy for two-level atoms in the framework of the Jaynes–Cummings model. We compare the behavior of the system in the case of having a coherent superposition state and a statistical mixture of coherent states as an initial field. Our results show that the superposition of coherent states plays an important role in the evolution of the field entropy in the intensity-dependent Jaynes–Cummings model (JCM).

Modern Physics Letters B•Dec 20, 2002•15 citations
Abstract In this paper, we study the properties of two kinds of SU(1.1) coherent statesof light with Bargman index k=1/4 andk=3/4 and show that they posses diffe-rent quantum statistical properties. The atomic dynamical behavior in a two-photonJaynes-Cummings model with initial SU(1,1) coherent state field are discussed. Weshow that the time evolution of atomic inversion displays peculiar periodic oscilla-tion and pulse which are very different from coherent states of light.
We study the statistical properties in the superpositions of SU(1,1) coherent states |ζ,k〉and |ζ,k〉. The even SU(1,1) coherent state (|ζ,1/4〉) and odd SU(1,1) coherent state (|ζ,3/4〉) correspond to squeezed vacuum state and squeezed one photon number state, respectively. It is shown that the superposed states can exhibit much stronger squeezing and antibunching for the suitable phase of ζ and the relative phase in superposition. We also propose a method of generating such superposed states.
The state function of the two-mode SU(1,1) coherent states field interacting with a four-level atom is derived by means of quantum theory.It is studied that the two-mode intensity correlation function,the Cauchy-Schwartz inequality and the second-order coherence properties for each mode of the light field in the system of the two-mode SU(1,1) coherent states field interacting with four-level atom.It is discussed that the influence of the coupling coefficient between the light field and atom and the initial intensity of the light field on file quantum dynamics of the light field.The results of the studies indicate that the statistic properties of the photon depend on the initial state of the system,the correlation of the two-mode of light is both positive and non-classical,the photon anti-bunching of the first mode appear at all time,and the photon bunching and anti-bunching of the second mode appear alternately.
We study the quantum dynamics of a two-mode two-photon Jaynes–Cummings model of a two-level atom interacting with the correlated two-mode SU(1, 1) coherent states. The collapse and revival patterns in this case are noted to be quite different from those in the case of uncorrelated coherent states and correlated pair-coherent states. As an example of the time evolution of the field statistics we show that violation of the Cauchy–Schwartz inequality by the initial field states may be nullified. We also discuss the evolution of the variance of the two-mode field quadrature operator.
We investigate the influence of superposition of coherent states of light on population inversion and the evolution of the field entropy for two-level atoms in the framework of the Jaynes–Cummings model. We compare the behavior of the system in the case of having a coherent superposition state and a statistical mixture of coherent states as an initial field. Our results show that the superposition of coherent states plays an important role in the evolution of the field entropy in the intensity-dependent Jaynes–Cummings model (JCM).