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 Physics A Mathematical and General

The revival-collapse phenomenon in the quadrature squeezing and in the Wigner function of the single- mode field interacting with the two two-level atoms

Faisal A. A. El-Orany

Published Mar 15, 2006• 14 citations
Publisher

Abstract

In this paper we consider a quantized single-mode field interacting with two two-level atoms. For the radiation field of this system we investigate the occurrence of the revival-collapse phenomenon in the evolution of the Wigner ( W ) function at the phase-space origin and of the quadrature squeezing. We show under certain conditions that the higher-order quadrature squeezing and the W function can provide complete information on the total atomic inversion. Moreover, we develop the notion of the geometric atomic inversion and show that it can be connected by the W function and the quadrature squeezing.

DOI
10.1088/0305-4470/39/13/017

Related papers

Revival-collapse phenomenon in the quadrature squeezing of the multiphoton Jaynes-Cummings model with the binomial states

Faisal A. A. El-Orany

In this paper we study the interaction between two-level atom and quantized single-mode field, namely, Jaynes-Cummings model (JCM). The field and the atom are initially prepared in the binomial state and the excited atomic state, respectively. For this system we prove that the revival-collapse phenomenon exhibited in the atomic inversion of the standard JCM can be numerically (naturally) manifested in the evolution of the squeezing factor of the three-photon (standard) JCM provided that the initial photon-number distribution of the radiation has a smooth envelope.

arXiv:0704.2347•Annalen der Physik•May 14, 2008•3 citations

The revival–collapse phenomenon in the quadrature field components of the two-mode multiphoton Jaynes–Cummings model

Faisal A. A. El-Orany

In this paper we consider a system consisting of a two-level atom in an excited state interacting with two modes of a radiation field prepared initially in l -photon coherent states. This system is described by a two-mode multiphoton (i.e., k 1 , k 2 ) Jaynes–Cummings model (JCM). For this system we investigate the occurrence of the revival–collapse phenomenon (RCP) in the evolution of the single-mode, two-mode, sum and difference quadrature squeezing. We show that there is a class of states for which all these types of squeezing exhibit RCP similar to that involved in the corresponding atomic inversion. Also we show numerically that the single-mode squeezing of the first mode for ( k 1 , k 2 ) = (3,1) provides RCP similar to that of the atomic inversion of the case ( k 1 , k 2 ) = (1,1); however, sum and difference squeezing give partial information on that case. Moreover, we show that single-mode, two-mode and sum squeezing for the case ( k 1 , k 2 ) = (2,2) provides information on the atomic inversion of the single-mode two-photon JCM. We derive the rescaled squeezing factors giving accurate information on the atomic inversion for all cases. The consequences of these results are that the homodyne and heterodyne detectors can be used to detect the RCP for the two-mode JCM.

arXiv:0908.1819•Journal of Optics B Quantum and Semiclassical Optics•Sep 30, 2005•6 citations

Revival‐collapse phenomenon in the quadrature squeezing of the multiphoton Jaynes‐Cummings model with the binomial states

Faisal A. A. El-Orany

Abstract In this paper we study the interaction between a two‐level atom and a quantized single‐mode field, namely, the Jaynes‐Cummings model (JCM). The field and the atom are initially prepared in the binomial state and the excited atomic state, respectively. For this system we prove that the revival‐collapse phenomenon exhibited in the atomic inversion of the standard JCM can be numerically (naturally) manifested in the evolution of the squeezing factor of the three‐photon (standard) JCM provided that the initial photon‐number distribution of the radiation field has a smooth envelope.

Annalen der Physik•Jun 5, 2008•0 citations

Revival-collapse phenomenon in the quadrature squeezing of the multiphoton intensity-dependent Jaynes–Cummings model

Faisal A. A. El-Orany

For multiphoton intensity-dependent Jaynes-Cummings model (JCM), which is described by two-level atom interacting with a radiation field, we prove that there is a relationship between the atomic inversion and the quadrature squeezing. We give the required condition to obtain best information from this relation. Also we show that this relation is only sensitive to large values of the detuning parameter. Furthermore, we discuss briefly such relation for the off-resonance standard JCM.

arXiv:0909.0311•Journal of Modern Optics•Jun 12, 2006•9 citations

Revival-collapse phenomenon in the quadrature squeezing of the multiphoton intensity-dependent Jaynes-Cummings model

Faisal A. A. El-Orany

For multiphoton intensity-dependent Jaynes-Cummings model (JCM), which is described by two-level atom interacting with a radiation field, we prove that there is a relationship between the atomic inversion and the quadrature squeezing. We give the required condition to obtain best information from this relation. Also we show that this relation is only sensitive to large values of the detuning parameter. Furthermore, we discuss briefly such relation for the off-resonance standard JCM. PACS numbers: 42.50.Dv, 32.80.-t, 42.50.-p. I.

•Jan 1, 2009•8 citations

CONTROL OF COLLAPSE-REVIVAL PHENOMENON USING A TIME VARYING SQUEEZED FIELD

K. V. PRIYESH, R. B. Thayyullathil

We have investigated the interaction of two level atom with time varying quadrature squeezed light field. Jaynes-Cummings model is used for solving the atom radiation interaction. Time evolution of the system for different squeezing parameter and phase have been studied. There are no well-defined revivals in population inversion when the squeezed phase is π and the squeezing parameter is greater than 0.5. Using a time varying frequency for the light field, it is found that the randomness of the population inversion and the collapse revival phenomena can be controlled. Frequency modulation of the field can thus be used as a tool for manipulating the squeezed light atom interaction.

Journal of Nonlinear Optical Physics & Materials•Jun 1, 2011•1 citation
In this paper we consider a quantized single-mode field interacting with two two-level atoms. For the radiation field of this system we investigate the occurrence of the revival-collapse phenomenon in the evolution of the Wigner ( W ) function at the phase-space origin and of the quadrature squeezing. We show under certain conditions that the higher-order quadrature squeezing and the W function can provide complete information on the total atomic inversion. Moreover, we develop the notion of the geometric atomic inversion and show that it can be connected by the W function and the quadrature squeezing.
In this paper we study the interaction between two-level atom and quantized single-mode field, namely, Jaynes-Cummings model (JCM). The field and the atom are initially prepared in the binomial state and the excited atomic state, respectively. For this system we prove that the revival-collapse phenomenon exhibited in the atomic inversion of the standard JCM can be numerically (naturally) manifested in the evolution of the squeezing factor of the three-photon (standard) JCM provided that the initial photon-number distribution of the radiation has a smooth envelope.
In this paper we consider a system consisting of a two-level atom in an excited state interacting with two modes of a radiation field prepared initially in l -photon coherent states. This system is described by a two-mode multiphoton (i.e., k 1 , k 2 ) Jaynes–Cummings model (JCM). For this system we investigate the occurrence of the revival–collapse phenomenon (RCP) in the evolution of the single-mode, two-mode, sum and difference quadrature squeezing. We show that there is a class of states for which all these types of squeezing exhibit RCP similar to that involved in the corresponding atomic inversion. Also we show numerically that the single-mode squeezing of the first mode for ( k 1 , k 2 ) = (3,1) provides RCP similar to that of the atomic inversion of the case ( k 1 , k 2 ) = (1,1); however, sum and difference squeezing give partial information on that case. Moreover, we show that single-mode, two-mode and sum squeezing for the case ( k 1 , k 2 ) = (2,2) provides information on the atomic inversion of the single-mode two-photon JCM. We derive the rescaled squeezing factors giving accurate information on the atomic inversion for all cases. The consequences of these results are that the homodyne and heterodyne detectors can be used to detect the RCP for the two-mode JCM.
Abstract In this paper we study the interaction between a two‐level atom and a quantized single‐mode field, namely, the Jaynes‐Cummings model (JCM). The field and the atom are initially prepared in the binomial state and the excited atomic state, respectively. For this system we prove that the revival‐collapse phenomenon exhibited in the atomic inversion of the standard JCM can be numerically (naturally) manifested in the evolution of the squeezing factor of the three‐photon (standard) JCM provided that the initial photon‐number distribution of the radiation field has a smooth envelope.
For multiphoton intensity-dependent Jaynes-Cummings model (JCM), which is described by two-level atom interacting with a radiation field, we prove that there is a relationship between the atomic inversion and the quadrature squeezing. We give the required condition to obtain best information from this relation. Also we show that this relation is only sensitive to large values of the detuning parameter. Furthermore, we discuss briefly such relation for the off-resonance standard JCM. PACS numbers: 42.50.Dv, 32.80.-t, 42.50.-p. I.
We have investigated the interaction of two level atom with time varying quadrature squeezed light field. Jaynes-Cummings model is used for solving the atom radiation interaction. Time evolution of the system for different squeezing parameter and phase have been studied. There are no well-defined revivals in population inversion when the squeezed phase is π and the squeezing parameter is greater than 0.5. Using a time varying frequency for the light field, it is found that the randomness of the population inversion and the collapse revival phenomena can be controlled. Frequency modulation of the field can thus be used as a tool for manipulating the squeezed light atom interaction.