非线性Tavis-Cummings模型压缩光场的Pancharatnam相位特性

J4 ›› 2014, Vol. 31 ›› Issue (1): 47-55.

非线性Tavis-Cummings模型压缩光场的Pancharatnam相位特性

许兵¹,谢芳森²

江西师范大学物理与通信电子学院，江西南昌 330022

收稿日期:2013-04-15 修回日期:2013-07-03 出版日期:2014-01-28 发布日期:2013-12-31
通讯作者: 谢芳森（1961-），硕士生导师，主要从事量子光学与量子信息的研究。 E-mail:xiefangsen@163.com.
作者简介:许兵（1989-）硕士生，主要从事几何相位的研究。E-mail:xubing19890507@163.com.
基金资助:
O431.2

Pancharatnam phase properties of nonlinear Tavis-Cummings model with the squeezed state

XU Bing XIE Fang-sen

College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022，China

Received:2013-04-15 Revised:2013-07-03 Published:2014-01-28 Online:2013-12-31

摘要/Abstract

摘要： 研究了存在非线性Kerr介质时，耦合双原子与单模压缩真空场相互作用系统的Pancharatnam相位特性。选取合适的初始条件和运用旋波近似，通过解薛定谔方程求出Pancharatnam相位的表示形式，并对此相位进行数值分析。结果表明：耦合双原子处于任意初态，随着原子与光场相互作用强度、两个二能级原子偶极-偶极耦合强度和非线性Kerr介质非线性的增大，Pancharatnam相位演化的频率都显著增长。耦合双原子初态同处激发态时，pancharatnam相位演化有明显的振荡上升（或振荡下降)的趋势。耦合双原子初态只有一个处于激发态时，随着Kerr介质非线性作用的增强，Pancharatnam相位演化变混乱。

关键词: 量子光学, Pancharatnam相位, Tavis-Cummings模型, 压缩光场, Kerr介质

Abstract: The Pancharatnam phase’ properties of two coupling-atoms and a single-mode squeezed state light field in nonlinear Kerr mediumwere studied. Selecting proper initial conditions to solve the Schrodinger equation by the rotating wave approximation. Then, we got the pancharatnam phase’ specific form. The results show that no matter the two coupling-atoms’ initial states are in any form, the pancharatnam phase’ frequency increases when the interaction strength between atoms and light field, the dipole-dipole coupling strength between two atoms or the Kerr medium's nonlinearity increases. The Pancharatnam phase’ evolution shows obvious trend of oscillating and rising(or fall) when the initial state is that two atoms both in the excited states. As the growth of the kerr medium’ nonlinearity, the Pancharatnam phase’ evolution become confusion when the initial state is that just one atom in excited state.

Key words: quantum optics, Pancharatnam phase, Tavis-Cummings model, squeezed state light field, Kerr medium

中图分类号:

O431.2

许兵谢芳森. 非线性Tavis-Cummings模型压缩光场的Pancharatnam相位特性[J]. J4, 2014, 31(1): 47-55.

XU Bing XIE Fang-sen. Pancharatnam phase properties of nonlinear Tavis-Cummings model with the squeezed state[J]. J4, 2014, 31(1): 47-55.

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