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

理论物理通讯:英文版

Series Solution of a Trapped Ultracold Ion in a Raman—Type Configuration

FENGMang, ZHUXi-Wen

Published Jan 1, 2001• 0 citations
OpenAlex

Abstract

The Raman interaction ofa trapped ultracold ion with two traveling wave lasers is studied analytically by series expansion technique without the need of rotating wave approximation and the limitations of both the Lamb-Dicke limit and the weak excitation regime. As an example, a scheme for the preparation of Schrodinger-cat states in such a process is proposed beyond the weak excitation regime.

Related papers

Series Solution of a Trapped Ultracold Ion in a Raman-Type Configuration

Feng Mang, Xiwen Zhu, Kelin Gao +1 more

The Raman interaction of a trapped ultracold ion with two traveling wave lasers is studied analytically by series expansion technique without the need of rotating wave approximation and the limitations of both the Lamb–Dicke limit and the weak excitation regime. As an example, a scheme for the preparation of Schrödinger-cat states in such a process is proposed beyond the weak excitation regime.

Communications in Theoretical Physics•Aug 15, 2001•0 citations

Continued fraction solution to the Raman interaction of a trapped ultracold ion with two travelling wave lasers

Mang Feng

Raman interaction of a trapped ultracold ion with two travelling wave lasers has been used extensively in ion-trap experiments. We solve this interaction in the absence of a rotating wave approximation (RWA) by a continued fraction, without considering the restriction of the Lamb-Dicke limit and the weak excitation regime. Some interesting characteristics of the ion-trap system, particularly for the ion outside the weak excitation regime are found. Finally, a comparison of our results with the solution under the RWA is made.

arXiv:quant-ph/0012085•Journal of Physics B Atomic Molecular and Optical Physics•Jan 26, 2001•9 citations

Exact solution of a trapped ultracold ion interacting with a standing wave laser without rotating wave approximation

Mang Feng, Xiwen Zhu, Ximing Fang +2 more

In coherent state representation and in the absence of rotating wave approximation, the interaction between a standing wave laser and a trapped ultracold ion within the Lamb-Dicke limit, expanded to the second-order term of the Lamb-Dicke parameter, can be solved analytically by series expansion technique. It can be seen that, for some particular detunings, the eigenenergies of the system can be exactly obtained and the eigenfunctions, presented as series forms, are a superposition of displaced Fock states and displaced squeezed states. Making use of our solution, some particular nonclassical states could be prepared.

Journal of Physics B Atomic Molecular and Optical Physics•Jan 1, 1999•9 citations

Chaotic Behavior in the Raman Interaction of a Trapped Ultracold Ion with Two Traveling Wave Lasers

Jiang Yurong, Feng Mang, Shi Lei +2 more

By means of the Bloch–Maxwell equation, the Raman interaction of a trapped ultracold ion with two traveling wave lasers is treated semiclassically. As the model works without limitation of the Lamb–Dicke limit and the weak excitation regime, we study chaotic behavior of the system in the wide range of the parameters. It is shown that the chaotic behavior is more and more pronounced with the increase of the Lamb–Dicke parameter and Rabi frequency, and can be exhibited experimentally by using quantum jump technique.

Communications in Theoretical Physics•Jan 15, 2001•0 citations

Chaotic Behavior in the Raman Interaction of a Trapped Ultracold Ion With Two Traveling Wave Lasers

JIANGYu-Rong, FENGMang

By means of the Bloch-Maxwell equation, the Raman interaction of a trapped ultracold ion with two traveling wave lasers is treated semiclassically. As the modcl works without limitation of the Lamb-Dicke limit and the weak excitation regime, we study chaotic behavior of the system in the wide range of the parameters. It is shown that the chaotic behavior is more and more pronounced with the increase of the Lamb-Dicke parameter and Rabi frequency,and can be exhibited experimentally by using quantum jump technique.``

理论物理通讯:英文版•Jan 1, 2001•0 citations

Continued Fraction Approach to the Solution of a Trapped Ultracold Ion Interacting with a Standing Wave Laser without Rotating Wave Approximation

Feng Mang, Zhu XiWen, Yong Li +2 more

In coherent state representation and in the absence of rotating wave approximation, we present an approach to solve the interaction of a trapped ultracold ion with a standing wave laser by a continued fraction, within the Lamb–Dicke limit and the low excitation regime. It is shown that, the eigen-energies as well as the coefficients of the series of the eigenfunction can be obtained rapidly from the continued fraction.

Communications in Theoretical Physics•Oct 30, 2000•0 citations
The Raman interaction ofa trapped ultracold ion with two traveling wave lasers is studied analytically by series expansion technique without the need of rotating wave approximation and the limitations of both the Lamb-Dicke limit and the weak excitation regime. As an example, a scheme for the preparation of Schrodinger-cat states in such a process is proposed beyond the weak excitation regime.
Raman interaction of a trapped ultracold ion with two travelling wave lasers has been used extensively in ion-trap experiments. We solve this interaction in the absence of a rotating wave approximation (RWA) by a continued fraction, without considering the restriction of the Lamb-Dicke limit and the weak excitation regime. Some interesting characteristics of the ion-trap system, particularly for the ion outside the weak excitation regime are found. Finally, a comparison of our results with the solution under the RWA is made.
In coherent state representation and in the absence of rotating wave approximation, the interaction between a standing wave laser and a trapped ultracold ion within the Lamb-Dicke limit, expanded to the second-order term of the Lamb-Dicke parameter, can be solved analytically by series expansion technique. It can be seen that, for some particular detunings, the eigenenergies of the system can be exactly obtained and the eigenfunctions, presented as series forms, are a superposition of displaced Fock states and displaced squeezed states. Making use of our solution, some particular nonclassical states could be prepared.
By means of the Bloch–Maxwell equation, the Raman interaction of a trapped ultracold ion with two traveling wave lasers is treated semiclassically. As the model works without limitation of the Lamb–Dicke limit and the weak excitation regime, we study chaotic behavior of the system in the wide range of the parameters. It is shown that the chaotic behavior is more and more pronounced with the increase of the Lamb–Dicke parameter and Rabi frequency, and can be exhibited experimentally by using quantum jump technique.
By means of the Bloch-Maxwell equation, the Raman interaction of a trapped ultracold ion with two traveling wave lasers is treated semiclassically. As the modcl works without limitation of the Lamb-Dicke limit and the weak excitation regime, we study chaotic behavior of the system in the wide range of the parameters. It is shown that the chaotic behavior is more and more pronounced with the increase of the Lamb-Dicke parameter and Rabi frequency,and can be exhibited experimentally by using quantum jump technique.``