量子电子学报, 2014, 31 (1): 47, 网络出版: 2014-02-26
非线性Tavis-Cummings模型压缩光场的Pancharatnam相位特性
Pancharatnam phase properties of nonlinear Tavis-Cummings model with squeezed state
量子光学 Pancharatnam相位 Tavis-Cummings模型 压缩光场 Kerr介质 quantum optics Pancharatnam phase Tavis-Cummings model squeezed state light field Kerr medium
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并运用旋波近似,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)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。
Abstract
The Pancharatnam phase properties of two coupling-atoms and a single-mode squeezed state light field in nonlinear Kerr medium were studied. Selecting proper initial conditions to solve the Schrdinger equation by the rotating wave approximation, and the Pancharatnam phase specific form was obtained. The results show that the two coupling-atoms’ initial states are in any form, the Pancharatnam phase frequency increases when the interaction strength between atoms and light field, and 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 are both in the excited states. As the growth of the Kerr medium’nonlinearity, the Pancharatnam phase evolution becomes disordered when the initial state is that just one atom is in excited state.
许兵, 谢芳森. 非线性Tavis-Cummings模型压缩光场的Pancharatnam相位特性[J]. 量子电子学报, 2014, 31(1): 47. XU Bing, XIE Fang-sen. Pancharatnam phase properties of nonlinear Tavis-Cummings model with squeezed state[J]. Chinese Journal of Quantum Electronics, 2014, 31(1): 47.