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原子与分子物理学报

SU(1,1)相干态与玻色-爱因斯坦凝聚相互作用系统中的量子纠缠

赵建刚, 孙长勇, 周玉欣, 闫丽华

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

研究的系统为SU(1,1)相干态和玻色-爱因斯坦凝聚体相互作用体系,在双光子跃迁过程中,分别用量子约化熵和量子相对熵研究了该系统中的SU(1, 1)相干态与凝聚体间的纠缠以及SU(1, 1)相干态的模间纠缠,分析了光场初始压缩因子、原子间相互作用对场-凝聚体间纠缠和模间纠缠的影响.

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双模SU(1,1)相干态与原子相互作用中的量子纠缠

李永平, 赵锡平, Chuan‐Kui Wang

考虑双模SU(1,1)相干态与二能级原子相互作用,分别用量子约化熵和量子相对熵研究了该系统双模SU(1,1)相干态与原子间的纠缠以及双模SU(1,1)相干态的模间纠缠,分析了SU(1,1)双模光子数差和光场失谐量对场-原子纠缠和模间纠缠的影响.

山东师范大学学报:自然科学版•Jan 1, 2004•0 citations

SU(1.1)压缩态在非线性光学介质中的演化

朱燕娟, 沈德元

本文研究SU(1.1)压缩相干态在简并参量放大和非简谐振子这两种非线性介质模型中的演化规律。研究结果表明:在简并参量放大中,SU(1.1)压缩相干态保持并增强压缩效应;在非简谐振子模型中,它的压缩效应随时间变化而迅速消失,在这两种非线性光学介质模型中.SU(1.1)压缩相干态保持光子聚束效应。

•Jan 1, 1993•0 citations

SU(1,1)相干态场与四能级原子相互作用系统中的场熵演化特性

谢芳森, 钟淑英

利用双模SU(1,1)相干态场与四能级原子相互作用系统的态函数导出了场熵的计算公式,研究了初始光场参量和原子与光场间的耦合系数对场熵演化的影响.数值计算表明:随着初始场q和ζ参量的增加,场熵的均值逐渐增加,振荡频率增大,场熵演化的周期性随ζ的增加渐趋明显,但振荡幅度却明显减小.同时,随耦合系数的增大,场熵演化曲线的均值变化不明显,而其振荡频率急剧增大,振荡幅度也有所减小且趋于稳定,场熵敏感于原子与光场耦合系数.

Chinese Journal of Quantum Electronics•Jan 1, 2005•0 citations

A Note on the Two-Level Pairing Model Obeying the su(2) su(2)-Algebra: -- Re-formation in Terms of the su(1,1) su(1,1)-Algebra --

Constança Providência, João da Providência, Y. Tsue +1 more

The two-level pairing model obeying the su(2) ⊗ su(2)-algebra, which was discussed in a previous paper, is re-formed in the framework of the su(1,1) ⊗ su(1,1)-algebra in the Schwinger boson representation. With the aid of the MYT mapping method, the Schwinger boson representation is reduced to the Holstein-Primakoff boson representation, which is expressed in terms of two kinds of bosons. Further, with the aid of the squeezed coherent state, the classical counterpart is obtained.

Progress of Theoretical Physics•Apr 1, 2006•0 citations

SU(1,1)相干态光场的统计特性及其对原子动力学行为的影响

路洪, 彭金生

研究了Bargman指标为k=1/4和k=3/4的两种SU(1,1)相干态光场的特性,证明了两种相干态具有不同的量子统计特性,并讨论了光场初始处于SU(1,1)相干态时,双光子Jaynes-Cummings(J-C)模型中,原子的动力学行为及粒子数反转随时间的演化,证明了与初始一般相干态光场不同,原子展现出特殊的周期振荡和脉冲行为。

Acta Physica Sinica•Nov 20, 1994•0 citations

A possible framework of the Lipkin model obeying the su(n)-algebra in arbitrary fermion number. II --- Two subalgebras in the su(n)-Lipkin model and an approach to the construction of linearly independent basis ---

Y. Tsue, Constança Providência, João da Providência +1 more

Standing on the results for the minimum weight states obtained in the previous paper (I), an idea how to construct the linearly independent basis is proposed for the su(n)-Lipkin model. This idea starts in setting up m independent su(2)-subalgebras in the cases with n=2m and n=2m+1 (m=2,3,4,...). The original representation is re-formed in terms of the spherical tensors for the su(n)-generators built under the su(2)-subalgebras. Through this re-formation, the su(m)-subalgebra can be found. For constructing the linearly independent basis, not only the su(2)-algebras but also the su(m)-subalgebra play a central role. Some concrete results in the cases with n=2, 3, 4 and 5 are presented.

arXiv:1605.06880•May 23, 2016•0 citations
研究的系统为SU(1,1)相干态和玻色-爱因斯坦凝聚体相互作用体系,在双光子跃迁过程中,分别用量子约化熵和量子相对熵研究了该系统中的SU(1, 1)相干态与凝聚体间的纠缠以及SU(1, 1)相干态的模间纠缠,分析了光场初始压缩因子、原子间相互作用对场-凝聚体间纠缠和模间纠缠的影响.
利用双模SU(1,1)相干态场与四能级原子相互作用系统的态函数导出了场熵的计算公式,研究了初始光场参量和原子与光场间的耦合系数对场熵演化的影响.数值计算表明:随着初始场q和ζ参量的增加,场熵的均值逐渐增加,振荡频率增大,场熵演化的周期性随ζ的增加渐趋明显,但振荡幅度却明显减小.同时,随耦合系数的增大,场熵演化曲线的均值变化不明显,而其振荡频率急剧增大,振荡幅度也有所减小且趋于稳定,场熵敏感于原子与光场耦合系数.
研究了Bargman指标为k=1/4和k=3/4的两种SU(1,1)相干态光场的特性,证明了两种相干态具有不同的量子统计特性,并讨论了光场初始处于SU(1,1)相干态时,双光子Jaynes-Cummings(J-C)模型中,原子的动力学行为及粒子数反转随时间的演化,证明了与初始一般相干态光场不同,原子展现出特殊的周期振荡和脉冲行为。
Standing on the results for the minimum weight states obtained in the previous paper (I), an idea how to construct the linearly independent basis is proposed for the su(n)-Lipkin model. This idea starts in setting up m independent su(2)-subalgebras in the cases with n=2m and n=2m+1 (m=2,3,4,...). The original representation is re-formed in terms of the spherical tensors for the su(n)-generators built under the su(2)-subalgebras. Through this re-formation, the su(m)-subalgebra can be found. For constructing the linearly independent basis, not only the su(2)-algebras but also the su(m)-subalgebra play a central role. Some concrete results in the cases with n=2, 3, 4 and 5 are presented.