Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

系统科学与数学

SU（1，1）型双输入量子系统能量最优控制

吴建武, 李春文, 张婧

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

基于极大值原理，讨论了在李群SU（1，1）上演化的量子系统的能量最优控制问题，针对正常极值和非正常极值两种不同情形，分别给出了双输入时最优控制的解析表达式,所研究的系统是一类在非紧李群上演化的典型量子系统，可用其来描述大量实际物理问题．

Related papers

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

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

双模SU（1,1）相干态线性迭加的压缩增强

季德璜

本文研究了由属于不同表示的两个双模ＳＵ（１，１）相干态线性迭加的压缩增强效应。发现相干态｜ζ；ｋ＞与｜ζ；ｋ＋１／２＞的线性迭加，以及｜ζ；ｋ＞与｜ζ；ｋ＞与｜ζ；ｋ＋１＞的线性迭加均可产生增强的压缩。且当ｋ＝１／２时，后者的压缩增强程度要大于前者，前对此时产生这两类迭加态的物理机制进行了讨论。

•Jan 1, 1994•0 citations

Peremolov SU（1,1）相干叠加态的二阶量子关联特性研究

王晓光, 于荣金

本文首先讨论了Ｂａｒｕｔ－Ｇｉｒａｒｄｅｌｌｏ ＳＵ（１，１）相干叠加态在Ｂａｒｇｍａｎｎ指数Ｋ≠１／２时的二阶量子关联特性。发现随着Ｂａｒｇｍａｎｎ指数的增大，Ｂａｒｕｔ－Ｇｉｒａｒｄｅｌｌｏ奇相干态呈现反关联的区域变大。然后提出并研究了Ｐｅｒｅｍｏｌｏｖ ＳＵ（１，１）相干叠加态，Ｐｅｒｅｍｏｌｏｖ奇相干态可呈现反关联，并且随着Ｂａｒｇｍａｎｎ指数的增加，反关联程度变弱，反关联区域变小。

ACTA PHOTONICA SINICA•Jan 1, 1999•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

哈密顿算符是SU（1,1）和SU（2）算子含时线性组合量子系统的时间演变及…

赖云忠, 梁九卿

研究了哈密顿算符是ＳＵ（１，１）和ＳＵ（２）算子线性组合且系数显含时间量子系统的时间演化。我们发现适当选取厄密不变量，不仅可得到统一的量子态时间演化封闭解，而且可得到时间演化幺正算符。用时间演化算符我们讨论了含时双光子压缩态和ＳＵ（１，１）相干态以及ＳＵ（２）压缩态的压缩性质。

Acta Physica Sinica•Jan 1, 1996•0 citations
基于极大值原理，讨论了在李群SU（1，1）上演化的量子系统的能量最优控制问题，针对正常极值和非正常极值两种不同情形，分别给出了双输入时最优控制的解析表达式,所研究的系统是一类在非紧李群上演化的典型量子系统，可用其来描述大量实际物理问题．
本文首先讨论了Ｂａｒｕｔ－Ｇｉｒａｒｄｅｌｌｏ ＳＵ（１，１）相干叠加态在Ｂａｒｇｍａｎｎ指数Ｋ≠１／２时的二阶量子关联特性。发现随着Ｂａｒｇｍａｎｎ指数的增大，Ｂａｒｕｔ－Ｇｉｒａｒｄｅｌｌｏ奇相干态呈现反关联的区域变大。然后提出并研究了Ｐｅｒｅｍｏｌｏｖ ＳＵ（１，１）相干叠加态，Ｐｅｒｅｍｏｌｏｖ奇相干态可呈现反关联，并且随着Ｂａｒｇｍａｎｎ指数的增加，反关联程度变弱，反关联区域变小。
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.