Phase transition and quasinormal modes for charged black holes in 4D Einstein-Gauss-Bonnet gravity

In four-dimensional Einstein-Gauss-Bonnet(EGB)gravity,we consider the thermodynamic and phase transitions of(charged)AdS black holes.For the negative GB coefficientα<0.the system allows two physical critical points,corresponding to the reentrant phase transition.when the charge Q>2√-α.For arbitraryα>0,the system always leads to a van der Waals phase transition.We then study the quasinormal modes(QNMs)of massless scalar perturbations to probe the van der Waals-like phase transition between small and large black holes(SBH/LBH)for(charged)AdS black holes.We find that the signature of this SBH/LBH phase transition in the isobaric process can be detected since the slopes of the QNM frequencies change dramatically in small and large black holes near the critical point.The obtained results further support that QNMs can be a dynamic probe of ther-modynamic properties in black holes.     

Phase Transition and Quasinormal Modes for Spherical Black Holes in 5D Gauss–Bonnet Gravity

We study the quasinormal modes(QNMs) of massless scalar perturbations to probe the van der Waals like SBH/LBH phase transition of anti-de Sitter black holes in five-dimensional(5D) Gauss–Bonnet gravity. It is found that the signature of this SBH/LBH phase transition is detected when the slopes of the QNMs frequency change drastically and differently in small and large black holes near the critical point. The obtained results further support that the QNMs can be a dynamic probe to investigate the thermodynamic properties in black holes.     

么正最小模型的聚合与辫子矩阵的明显表示

本文利用Feigin-Fuch积分法明显地导出了么正最小模型的聚合和辫子矩阵,证明了D-F超方程的解是存在的.     

量子位Heisenberg XX开链中边界量子位之间的纠缠

Heisenberg 开链对研究量子态在自旋链上的传递有重要的意义.本文研究了五量子位Heisenberg XX 开链中边界量子位之间的纠缠，在该系统中引入了磁杂质和系统杂质且它们之间满足线性关系时，该系统可以精确求解，此时边界量子位之间存在纠缠.选择合适的杂质参数和磁场参数，该边界纠缠的最大值可达到0.5. 关键词： Heisenberg XX开链 边界纠缠 杂质     

三量子位Heisenberg XX 链中杂质对纠缠的影响

研究了有杂质时三量子位Heisenberg-XX链中正常格点之间的热纠缠情况，给出了Concurrence的解析表达式.进一步的讨论发现，杂质对正常格点的热纠缠有着重要的影响，甚至能够改变纠缠在反铁磁区的特性.理论表明，可以通过调节温度和杂质参数来控制纠缠. 关键词： Heisenberg -XX链 热纠缠 杂质格点     

自旋1/2粒子的量子DNLS模型的可积性

导出了量子可导非线性Schr?dinger模型(DNLS)在自旋12粒子情况下的哈密顿量.利用代数方法找到了此模型的量子monodromy矩阵所满足的量子Yang-Baxter方程(QYBE),从而证明其可积性.     

超对称系统的边界条件与可积性

通过研究反射方程的解,构造了一类具有不同边界条件的超对称系统,同时证明了在一维情况下,这类系统是完全可积的.     

开边界条件下一类新Hubbard模型的精确解

用坐标Bethe ansatz方法详细研究了开边界条件下一类新Hubbard模型的可积性问题. 得到了系统的能谱、可积边界条件和Bethe ansatz方程.