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

Vibratile Coherence and Squeezing in Two Trapped Ions

ZENGHao-Sheng, KUANGLe-Man

Published Jan 1, 2002• 0 citations
OpenAlex

Abstract

It is shown that two trapped ions interacting with laser beams resonant to the first red side-band of center-of-mass mode, in Lamb Dicke regime and under rotating wave approximation, is described by a Jaynes-Cummingsmodel. For the initial condition that the motional state of center-of-mass mode is in vacuum state and the internal stateis prepared in a coherent superposition of states, coherence and squeezing for the vibratile motion of center-of-mass modeare discussed, particularly, a weak coherent state and a weak squeezed vacuum state are obtained. Collapse andrevival are also observed in this type of initial condition.

Related papers

Vibratile Coherence and Squeezing in Two Trapped Ions

Zeng Hao-Sheng, Kuang Le-Man, Xiwen Zhu +1 more

It is shown that two trapped ions interacting with laser beams resonant to the first red side-band of center-of-mass mode, in Lamb Dicke regime and under rotating wave approximation, is described by a Jaynes-Cummings model. For the initial condition that the motional state of centor-of-mass mode is in vacuum state and the internal state is prepared in a coherent superposition of states, coherence and squeezing for the vibratile motion of center-of-mass mode are discussed, particularly, a weak coherent state and a weak squeezed vacuum state are obtained. Collapse and revival are also observed in this type of initial condition.

Communications in Theoretical Physics•Mar 15, 2002•3 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

Squeezing of Phonon Fields Induced by Coherence of Internal States of Trapped Ions

Zeng Hao-Sheng

While the frequency of classical driving filed is resonant to the redside band of center-of-mass mode and without Lamb-Dicke limit,the dynamics of the internal states of two trapped ions coupled to their phonon filed can be described by a nonlinear Jaynes-Cummings model.When the internal state of trapped ions is initially in a non-coherent mixed state and the phonon field in a vacuum state,the evolved state of the phonon field does not appear squeezing;However,when the internal state is initially in a coherent superposition pure state and the phonon field in a vacuum state,the evolved state of the phonon field shows squeezing.Under proper initial conditions,the squeezing is persistent and periodic in time.

Hu'nan Shifan Daxue xuebao. Ziran kexue ban•Jan 1, 2007•0 citations

Correlative Collapses and Revivals in Two Trapped Ions

曾浩生, 匡乐满

An analytic solution is presented for two trapped ions resonantly interacting with laser beams to the first red side-band of the centre-of-mass mode,in the Lamb-Dicke regime and under the rotating wave approximation.This shows the existence of correlative quantum collapses and revivals for the occupation of two atoms.

Chinese Physics Letters•Jan 1, 2002•0 citations

Correlative Collapses and Revivals in Two Trapped Ions

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

An analytic solution is presented for two trapped ions resonantly interacting with laser beams to the first red side-band of the centre-of-mass mode, in the Lamb-Dicke regime and under the rotating wave approximation. This shows the existence of correlative quantum collapses and revivals for the occupation of two atoms.

Chinese Physics Letters•Mar 26, 2002•0 citations

k-quantum nonlinear Jaynes－Cummings model in two trapped ions

曾浩生, 匡乐满, 高克林

We have obtained a k-quantum nonlinear Jaynes-Cummings model for two trapped ions interacting with laser beams resonant to the kth red side-band of the centre-of-mass mode,far from the Lamb-Dicke regime.The exact analytic solution shows the existence of quantum collapses and revivals of the occupation of two atoms.

中国物理B：英文版•Jun 13, 2005•0 citations
It is shown that two trapped ions interacting with laser beams resonant to the first red side-band of center-of-mass mode, in Lamb Dicke regime and under rotating wave approximation, is described by a Jaynes-Cummingsmodel. For the initial condition that the motional state of center-of-mass mode is in vacuum state and the internal stateis prepared in a coherent superposition of states, coherence and squeezing for the vibratile motion of center-of-mass modeare discussed, particularly, a weak coherent state and a weak squeezed vacuum state are obtained. Collapse andrevival are also observed in this type of initial condition.
It is shown that two trapped ions interacting with laser beams resonant to the first red side-band of center-of-mass mode, in Lamb Dicke regime and under rotating wave approximation, is described by a Jaynes-Cummings model. For the initial condition that the motional state of centor-of-mass mode is in vacuum state and the internal state is prepared in a coherent superposition of states, coherence and squeezing for the vibratile motion of center-of-mass mode are discussed, particularly, a weak coherent state and a weak squeezed vacuum state are obtained. Collapse and revival are also observed in this type of initial condition.
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.
While the frequency of classical driving filed is resonant to the redside band of center-of-mass mode and without Lamb-Dicke limit,the dynamics of the internal states of two trapped ions coupled to their phonon filed can be described by a nonlinear Jaynes-Cummings model.When the internal state of trapped ions is initially in a non-coherent mixed state and the phonon field in a vacuum state,the evolved state of the phonon field does not appear squeezing;However,when the internal state is initially in a coherent superposition pure state and the phonon field in a vacuum state,the evolved state of the phonon field shows squeezing.Under proper initial conditions,the squeezing is persistent and periodic in time.