Topological phases and type-II edge state in two-leg-coupled Su-Schrieffer-Heeger chains

Topological quantum states have attracted great attention both theoretically and experimentally.Here,we show that the momentum-space lattice allows us to couple two Su-Schrieffer-Heeger(SSH)chains with opposite dimerizations and staggered interleg hoppings.The coupled SSH chain is a four-band model which has sublattice symmetry similar to the SSH4.Interestingly,the topological edge states occupy two sublattices at the same time,which can be regarded as a one-dimension analogue of the type-II corner state.The analytical expressions of the edge states are also obtained by solving the eigenequations.Finally,we provide a possible experimental scheme to detect the topological winding number and corresponding edge states.     

聚焦堆栈中空间几何结构的深度估计

利用聚焦堆栈估计场景深度是计算成像领域中的重要技术手段。提出三维自适应加权全变分计算框架,用于解决场景中弱纹理区域和遮挡区域深度线索丢失导致深度估计不准确的问题。相比传统二维引导滤波方法,所提三维优化框架不仅考虑聚焦堆栈和聚焦测度中共同蕴藏的场景几何结构,避免在深度图中错误地引入场景物理信息,还充分考虑聚焦堆栈和聚焦测度沿图像序列方向的结构特点,实现更高程度的数据保真。模拟数据和实际数据实验结果表明,所提方法能够有效提升聚焦堆栈估计深度的精度。     

怎样学好数学——童增祥教授给大学新生的一封信

童增祥博士(ztong@otterbein.edu)是美国第一位教育数学的讲座教授.他于2015年秋给奥特本大学(Otterbein University)数学系新生的信,融合了中国和美国的教育观念,对大学新生的数学学习方法做了深入的剖析.特此译出,供我国大学生们参考.