A 9 × 9 matrix representation of Temperley-Lieb algebra and corresponding entanglement

We present the matrix U.The 9×9 U matrix is a representation of specialized Temperley-Lieb algebra.Based on which,a unitary R matrix is generated via the Yang-Baxterization approach.The 9×9 R matrix,a solution of the Yang-Baxter equation,is universal for quantum entanglement.     

非对易相空间三模坐标动量耦合谐振子的能谱

本文用不变本征算符方法研究非对易相空间中三模坐标动量耦合谐振子的能谱,分别得到了非耦合和坐标动量耦合两种情况下谐振子能谱的解析解,其中包括受非对易参数θ和φ影响的解λ0,1和λ1,1,以及不受非对易参数θ和φ影响的解λ0,2和λ1,2.然后,分析了两类耦合参数κ和η对三模坐标动量耦合谐振子能谱的影响.结果发现,耦合参数κ和η对λ1,1的影响是相同的,且当κ=η时,耦合系数κ和η对λ1,1是没有影响的.     

2,3,7,8-TCDD分子结构及振动光谱的理论研究

本文用B3LYP方法,在6-31G＊基组水平上对2,3,7,8-TCDD分子的构型进行了优化,得到它的稳定构型为平面型,具有D2h对称性。在优化构型的基础上计算了红外光谱和Raman光谱,并进行了振动分析。     

杨-巴克斯特自旋1/2链模型的量子关联研究

量子系统各部分间的量子关联可以作为量子信息应用研究的基础资源. 而量子失协是度量量子关联大小的物理量. 由此研究杨-巴克斯特自旋1/2链模型的量子关联情况. 首先利用两个杨-巴克斯特方程的解得到相应的杨-巴克斯特自旋1/2链模型. 然后, 计算分析热平衡时杨-巴克斯特自旋1/2链模型的量子失协、几何量子失协和量子纠缠随着温度和外磁场的变化情况. 结果表明对于杨-巴克斯特自旋1/2链模型, 量子失协和几何量子失协能够比量子纠缠更好地度量量子关联.     

以创新为主线，探索“节约型”实验室建设的思路

本文主要介绍长春理工大学理学院固体激光实验室,努力建设“节约型”实验室的工作实践。该实验室始终坚持勤俭办学,自主创新的理念,不断发挥资源优势,通过多种渠道建设实验室。经过多年的努力,固体激光实验室在国内高校同类专业实验中已处于领先地位。     

二维耦合非线性谐振子的近似求解

利用自洽平均值方法计算二维耦合非线性谐振子的能量本征值,然后将基态能量本征值的计算结果与微扰法的计算结果进行比较,其结果是非常接近的.     

A 9 × 9 matrix representation of Temperleyben-Lieb algebra and corresponding entanglement

We present the matrix U. The 9 × 9 U matrix is a representation of specialized Temperley-Lieb algebra. Based on which, a unitary Ř matrix is generated via the Yang-Baxterization approach. The 9 × 9 Ř matrix, a solution of the Yang-Baxter equation, is universal for quantum entanglement.     

三能级闭合环路系统控制的位相和幅度相关的无反转增益

为了获得位相敏感的无粒子数反转探测增益, 研究了一个三能级闭合环路子系统控制的四能级原子系统.在三光子共振情况下, 获得了大的稳态无反转探测增益. 由于量子干涉效应, 探测增益对三能级闭合环路子系统的相对位相是敏感的. 三能级闭合环路子系统中的场强也是影响探测场增益特性的重要参数. 关键词： 量子干涉 位相敏感效应 无反转增益     

Quantum Discord in Two-Qubit System Constructed from the Yang–Baxter Equation

Quantum correlations among parts of a composite quantum system are a fundamental resource for several applications in quantum information. In general, quantum discord can measure quantum correlations. In that way, we investigate the quantum discord of the two-qubit system constructed from the Yang-Baxter Equation. The density matrix of this system is generated through the unitary Yang-Baxter matrix R. The analytical expression and numerical result of quantum discord and geometric measure of quantum discord are obtained for the Yang-Baxter system. These results show that quantum discord and geometric measure of quantum discord are only connect with the parameter θ, which is the important spectral parameter in Yang Baxter equation.     

A 9× 9 Matrix Representation of Birman-Wenzl-Murakami Algebra and Berry Phase in Yang-Baxter System

We present a 9×9 S-matrix and E-matrix. A representation of specialized Birman-Wenzl-Murakami algebra is obtained. Starting from the given braid group representation S-matrix, we obtain the trigonometric solution of Yang-Baxter equation. A unitary matrix \breve{R}(x,φ₁,φ₂) is generated via theYang-Baxterization approach. Then we construct a Yang-BaxterHamiltonian through the unitary matrix \breve{R}(x,φ₁,φ₂). Berry phase of this Yang-Baxter system is investigated in detail.