arXiv:quant-ph/0106068 · Chinese Physics

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

Zeng Hao-Sheng, Kuang Le-Man, Gao Ke-Lin

Published Apr 26, 2002• 2 citations

Abstract

We have obtained a k -quantum nonlinear Jaynes-Cummings model for two trapped ions interacting with laser beams resonant to the k th 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.

DOI: 10.1088/1009-1963/11/5/314

Related papers

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, 20050 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/0106020Jun 5, 200110 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 LettersMar 26, 20020 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 LettersJan 1, 20020 citations

Nonlinear Jaynes-Cummings dynamics of a trapped ion

W. Vogel, R. L. de Matos Filho

We show that the vibronic motion of a trapped ion far from the Lamb-Dicke regime can be described, under appropriate resonance conditions, by a strongly nonlinear, multiquantum Jaynes-Cummings model. In contrast to previous nonlinear or multiphoton generalizations of the Jaynes-Cummings model, it could presently be realized in experiments.

Physical Review ANov 1, 1995378 citations

An analytical solution to the nonlinear model forNtrapped ions driven by a single laser field

Z J Wang

We have studied the nonlinear model for interaction of N ions in a trap with a laser beam. By applying two successive unitary transformations, this nonlinear quantum system can be transformed into the multi-levels Jayness–Cummings model. In the end, we can obtain an analytical solution to the two-ion system without performing the Lamb–Dicke approximation, and observe the super-revival phenomenon.

Journal of Physics A Mathematical and TheoreticalMay 22, 20072 citations