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

Physical Review A

Jaynes-Cummings model with a para-Bose oscillator

J. Črnugelj, M. Martinis, Vesna Mikuta-Martinis

Published Oct 1, 1994• 4 citations
Publisher

Abstract

We study the time evolution of the atomic population inversion 〈${\mathrm{\ensuremath{\sigma}}}_{3}$(t)〉 of a Jaynes-Cummings model with an intensity-dependent coupling which is described by a para-Bose oscillator of the Calogero-Vasiliev type. We show that both the time and the shape of the revival signal are sensitive to the order of the para-Bose oscillator and the value of the average number of cavity photons.

DOI
10.1103/physreva.50.3545

Related papers

Jaynes-Cummings model with intensity-dependent coupling interacting with Holstein-Primakoff SU(1,1) coherent state

Vladimír Bužek

We show that in the Jaynes-Cummings model with the intensity-dependent coupling interacting with the Holstein-Primakoff SU(1,1) coherent state the revivals of the radiation squeezing are strictly periodical for any value of initial squeezing. The expression for the atomic population inversion exhibiting the exact periodicity of the population revivals is obtained.

Physical Review A•Mar 1, 1989•160 citations

Properties of the population inversion of two-level atomic mixed-state in the multiphoton anti-Jaynes-Cummings model

Dong Zhang

When single mode coherent light field interacts with two-level atomic mixed-state,the properties of the atomic population inversion is studied by means of the multi-photon anti-Jaynes-Cummings model.The influence for the parameters of average photon number of the coherent light field,transition photon number and mixing extent of the atomic initial state on the atomic population inversion has been discussed.The results show that the collapse and revival phenomena of periodicity will also appear in the two-level atomic population inversion.With the increasing of the average photon number of the coherent light field and the transition photon number,the revival period and attenuation time of collapse will change.With the increase of the average photon number of the coherent light field,the oscillation frequency of the atomic population inversion increases correspondingly.The revival period and attenuation time of collapse will not change,but the oscillation amplitude of the atomic population inversion will be increase as the decreasing of mixing extent of the atomic initial state.

Journal of Atomic and Molecular Physics•Jan 1, 2011•0 citations

Evolution of Population Inversion Controlled by the Time-Dependent Coupling: an Inverse Problem

Sunsheng Yang, Yang Ya-Ping, Chen Hong

We propose an inverse idea of controlling the evolution of the population inversion by a time-dependent coupling between the cavity field and a two-level system described through the Jaynes–Cummings model. We demonstrate the detailed procedure by obtaining the population evolution taking the non-sinusoidal form, which is different from the previous sinusoidal Rabi oscillation as the cavity field frequency and coupling parameters are constant during the interaction time.

Chinese Physics Letters•Apr 28, 2006•5 citations

Generalized Jaynes-Cummings Model with Intensity-Dependent and Non-resonant Coupling

A N F Aleixo, A. B. Balantekin, Ribeiro, M. A. Candido

We study the intensity-dependent and nonresonant Jaynes-Cummings Hamiltonian when the field is described by an arbitrary shape-invariant system. We determine the eigenstates, eigenvalues, time evolution matrix and the population inversion matrix factor.

arXiv:quant-ph/0005046•May 12, 2000•1 citation

Quantum properties of atom in time-dependent and intensity-dependent coupling Jaynes-Cummings model

Hong‐Guang Piao

The properties of the atomic dynamical behavior in the time-dependent and intensity-dependent Jaynes-Cummings model are investigated. The effect of different pulse widths and cavity field intensity on the inversion of atomic population are discussed.

Chinese journal of atomic and molecular physics•Jan 1, 2005•0 citations

Single dressed-atom laser: lasing out of a driven Jaynes-Cummings system

Young-Tak Chough, Jung Bog Kim, Kyungwon An

A variant Jaynes-Cummings model (JCM) where the two-state atom coupled to the cavity mode is driven by a strong external field reveals many interesting behaviors. On resonance, a large scale oscillatory behavior of the mean cavity photon number is predicted. It varies sinusoidally with the amplitude of 2(/spl epsi//g)/sup 2/, centered at the same value, where /spl epsi/ is the (real) driving field amplitude and g the vacuum Rabi frequency. The period of the oscillation was found to be exactly twice the "revival time" of the atomic inversion, i.e., T/sub 0/=(4/spl pi//g)(/spl epsi//g). Furthermore, the oscillation then shows another kind of "collapse-and-revival" type behavior as time proceeds. It is very similar to that of the atomic inversion, but the size of oscillation and the time scales are fundamentally different. The "revival" time of the oscillation, for instance, is found to be exactly one half of the so-called "fractional revival" time of the atomic inversion. Our current interest is directed to the radiative behavior of the driven JCM in a more general situation where dissipation as well as detuning is introduced.

Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR)•Jan 20, 2003•0 citations
We study the time evolution of the atomic population inversion 〈\ensuremathσ3{\mathrm{\ensuremath{\sigma}}}_{3}\ensuremathσ3​(t)〉 of a Jaynes-Cummings model with an intensity-dependent coupling which is described by a para-Bose oscillator of the Calogero-Vasiliev type. We show that both the time and the shape of the revival signal are sensitive to the order of the para-Bose oscillator and the value of the average number of cavity photons.
When single mode coherent light field interacts with two-level atomic mixed-state,the properties of the atomic population inversion is studied by means of the multi-photon anti-Jaynes-Cummings model.The influence for the parameters of average photon number of the coherent light field,transition photon number and mixing extent of the atomic initial state on the atomic population inversion has been discussed.The results show that the collapse and revival phenomena of periodicity will also appear in the two-level atomic population inversion.With the increasing of the average photon number of the coherent light field and the transition photon number,the revival period and attenuation time of collapse will change.With the increase of the average photon number of the coherent light field,the oscillation frequency of the atomic population inversion increases correspondingly.The revival period and attenuation time of collapse will not change,but the oscillation amplitude of the atomic population inversion will be increase as the decreasing of mixing extent of the atomic initial state.
A variant Jaynes-Cummings model (JCM) where the two-state atom coupled to the cavity mode is driven by a strong external field reveals many interesting behaviors. On resonance, a large scale oscillatory behavior of the mean cavity photon number is predicted. It varies sinusoidally with the amplitude of 2(/spl epsi//g)/sup 2/, centered at the same value, where /spl epsi/ is the (real) driving field amplitude and g the vacuum Rabi frequency. The period of the oscillation was found to be exactly twice the "revival time" of the atomic inversion, i.e., T/sub 0/=(4/spl pi//g)(/spl epsi//g). Furthermore, the oscillation then shows another kind of "collapse-and-revival" type behavior as time proceeds. It is very similar to that of the atomic inversion, but the size of oscillation and the time scales are fundamentally different. The "revival" time of the oscillation, for instance, is found to be exactly one half of the so-called "fractional revival" time of the atomic inversion. Our current interest is directed to the radiative behavior of the driven JCM in a more general situation where dissipation as well as detuning is introduced.