Study on cross correlation function of vibrational modes of nonlinear trapped ions

WANG Zhongjie; FANG Xu

doi:10.7510/jgjs.issn.1001-3806.2015.01.022

LASER TECHNOLOGY > 2015 > 39(1): 109-113. > DOI: 10.7510/jgjs.issn.1001-3806.2015.01.022

WANG Zhongjie, FANG Xu. Study on cross correlation function of vibrational modes of nonlinear trapped ions[J]. LASER TECHNOLOGY, 2015, 39(1): 109-113. DOI: 10.7510/jgjs.issn.1001-3806.2015.01.022

Citation:

WANG Zhongjie, FANG Xu. Study on cross correlation function of vibrational modes of nonlinear trapped ions[J]. LASER TECHNOLOGY, 2015, 39(1): 109-113. DOI: 10.7510/jgjs.issn.1001-3806.2015.01.022

Citation:

WANG Zhongjie, FANG Xu. Study on cross correlation function of vibrational modes of nonlinear trapped ions[J]. LASER TECHNOLOGY, 2015, 39(1): 109-113. DOI: 10.7510/jgjs.issn.1001-3806.2015.01.022

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Study on cross correlation function of vibrational modes of nonlinear trapped ions

College of Physics and Electric Information, Anhui Normal University, Wuhu 241000, China

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Received Date: January 11, 2014
Revised Date: February 19, 2014
Published Date: January 24, 2015

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Abstract

Abstract

In order to study the influence of nonlinear parameters on the cross-correlation function of two vibrational modes of the trapped ions along mutually orthogonal directions, the exact solution of the nonlinear double-photon Jaynes-Cummings model which describes the interaction between a single two-dimension three-level trapped ion and two classical standing wave lasers was obtained by theoretical analysis and numerical computation. The cross-correlation function of two vibrational modes of the trapped ion was analyzed numerically. The results show that the anticorrelation effect is strengthened at first and then weakened with the increasing of the Lamb-Dicke parameters when initial average quantum number is small. But the correlated effect is always strengthened with the increase of the Lamb-Dicke parameters. The anticorrelation effect will be weakened and then disappear with the increasing of initial average quantum number. The initial average quantum number and Lamb-Dicke parameters characterized by nonlinear effects have obvious influence on cross correlation.
- quantum optics,
- cross-correlated function,
- trapped ion,
- nonlinear Jaynes-Cummings model

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