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

DYNAMICS OF THE GENERALIZED JAYNES-CUMMINGS MODEL FOR A TRAPPED ULTRACOLD ION

LUO XUE-LI, Zhifei Zhang, Feng Mang, FANG XI-MING, Kelin Gao, Xiwen Zhu, 中国科学院武汉物理与数学研究所，波谱与原子分子物理国家重点实验室，武汉 430071

Published Jan 1, 1999• 3 citations
Publisher

Abstract

The generalized Jaynes-Cummings model describes the quantum interaction of the vibration of center-of-mass of a trapped ultracold ion and its inner degree of freedom with a quantized radiation field. By calculating the state vectors and corresponding mean values especially those evolving from the initial entangled ion states, we find that the system will present new phase-sensitive and all-quantized dynamical properties under red and blue sideband excitations.

DOI
10.7498/aps.48.218

Related papers

DYNAMICS OF THE GENERALIZED JAYNES CUMMINGS MODEL FOR A TRAPPED ULTRACOLD ION

Ue L

Abstract The generalized Jaynes Cummings model describes the quantum interaction of the vibration of center of mass of a trapped ultracold ion and its inner degree of freedom with a quantized radiation field. By calculating the state vectors and corresponding mean values especially those evolving from the initial entangled ion states, we find that the system will present new phase sensitive and all quantized dynamical properties under red and blue sideband excitations.

Acta Physica Sinica•Jan 1, 1999•0 citations

Jaynes-Cummings Model Dynamics in Two Trapped Ions

Hao‐Sheng Zeng, Le‐Man Kuang, Kelin Gao

We showed that in Lamb-Dicke regime and under rotating wave approximation, the dynamical behavior of two trapped ions interacting with a laser beam resonant to the first red side-band of center-of-mass mode can be described by Jaynes-Cummings Model. An exact analytic solution for this kind of Jaynes-Cummings model is presented. The results showed that quantum collapses and revivals for the occupation of two atoms, and squeezing for vibratic motion of center-of-mass mode existed in both two different types of initial conditions. The maximum momentum squeezing for center-of-mass mode in these two types of conditions are found to be 42.4% and 43.8% respectively. The coherence, in the first type of initial conditions can keeps long times, and in the second type of initial conditions, a concrete form of coherent state is obtained, when the initial average number is very small.

arXiv:quant-ph/0106020•Jun 5, 2001•10 citations

A GENERALIZED JAYNES–CUMMINGS MODEL: NONLINEAR DYNAMICAL SUPERALGEBRA u(1/1) AND SUPERCOHERENT STATES

Mohammed Daoud A, Jamila Douari

The generalization of the Jaynes–Cummings (GJC) Model is proposed. In this model, the electromagnetic radiation is described by a Hamiltonian which generalizes the harmonic oscillator to take into account some nonlinear effects which can occur in the experimental situations. The dynamical superalgebra and supercoherent states of the related model are explicitly constructed. Relevant quantities (total number of particles, energy and atomic inversion) are computed.

arXiv:hep-th/0007167•International Journal of Modern Physics B•May 10, 2003•12 citations

A GENERALIZED JAYNES-CUMMINGS MODEL WITH INTENSITY-DEPENDENT COUPLING

Peng Zhou, 彭金生

Jaynes-Cummings model (JCM) for describing a two-level atom interacting with a single-mode radiation field via the one-photon transition is one of the important theoretical models in quantum optics. Recently, Sukumar et al. have generalized the JCM to

中国科学通报：英文版•Jan 1, 1991•0 citations

Dynamical properties of a trapped two-level ion interacting with a single-mode quantized field in the nonlinear regime

Navid Yazdanpanah, Mohammad Kazem Tavassoly

Following the path of Bužek et al. in [Phys. Rev. A 56 2352 1997], we investigate the full intensity-dependent interaction between a motional two-level ion which is trapped in a f-deformed oscillator (so possessing vibrational modes too) with a single-mode nonlinear quantized field in the Lamb-Dicke limit. After finding the explicit form of the entire ion-field state vector in a general framework, we particularly restrict ourselves to an appropriate nonlinearity function (describing intensity-dependent interaction) corresponding to the center-of-mass motion of a trapped ion which explicitly depends on the Lamb-Dicke parameter as well as another well-known nonlinearity function in the form n. Then, we evaluate the effects of two different initial quantized field states as well as the considered nonlinearity function (via varying the Lamb-Dicke parameter) on a few physical properties of the system. For this purpose, we pay attention to the amount of entanglement, mean number of vibrational quanta (phonons), population inversion of the two-level ion and Q-distribution function. Finally, by comparing our results with the previously considered “linear” one which is pointed in the above Ref., we establish that, by tuning the Lamb-Dicke parameter, one can adjust the mentioned nonclassical properties of the system appropriately.

Journal of Modern Optics•Dec 3, 2014•9 citations

THE QUANTUM STATISTICAL PROPERTIES OF THE JAYNES-CUMMINGS MODEL

GU QIAO, 西北大学物理系

We derive a set of equations characterizing the quantum statistical properties of Jaynes-Cummings model, which may be used to describe overall the dynamical and statistical aspects in the interaction between a two-level atom and a single mode of the radiation field. Both interactions of a two-level atom with a vacuum field and a excited atom with a coherent field, as examples, are discussed in detail. Finally, the practicality of the above-mentionedi theoretical studies is demonstrated.

Acta Physica Sinica•Jan 1, 1989•0 citations
The generalized Jaynes-Cummings model describes the quantum interaction of the vibration of center-of-mass of a trapped ultracold ion and its inner degree of freedom with a quantized radiation field. By calculating the state vectors and corresponding mean values especially those evolving from the initial entangled ion states, we find that the system will present new phase-sensitive and all-quantized dynamical properties under red and blue sideband excitations.
We showed that in Lamb-Dicke regime and under rotating wave approximation, the dynamical behavior of two trapped ions interacting with a laser beam resonant to the first red side-band of center-of-mass mode can be described by Jaynes-Cummings Model. An exact analytic solution for this kind of Jaynes-Cummings model is presented. The results showed that quantum collapses and revivals for the occupation of two atoms, and squeezing for vibratic motion of center-of-mass mode existed in both two different types of initial conditions. The maximum momentum squeezing for center-of-mass mode in these two types of conditions are found to be 42.4% and 43.8% respectively. The coherence, in the first type of initial conditions can keeps long times, and in the second type of initial conditions, a concrete form of coherent state is obtained, when the initial average number is very small.
Following the path of Bužek et al. in [Phys. Rev. A 56 2352 1997], we investigate the full intensity-dependent interaction between a motional two-level ion which is trapped in a f-deformed oscillator (so possessing vibrational modes too) with a single-mode nonlinear quantized field in the Lamb-Dicke limit. After finding the explicit form of the entire ion-field state vector in a general framework, we particularly restrict ourselves to an appropriate nonlinearity function (describing intensity-dependent interaction) corresponding to the center-of-mass motion of a trapped ion which explicitly depends on the Lamb-Dicke parameter as well as another well-known nonlinearity function in the form n. Then, we evaluate the effects of two different initial quantized field states as well as the considered nonlinearity function (via varying the Lamb-Dicke parameter) on a few physical properties of the system. For this purpose, we pay attention to the amount of entanglement, mean number of vibrational quanta (phonons), population inversion of the two-level ion and Q-distribution function. Finally, by comparing our results with the previously considered “linear” one which is pointed in the above Ref., we establish that, by tuning the Lamb-Dicke parameter, one can adjust the mentioned nonclassical properties of the system appropriately.