We investigate the impact of network topology on blocking probability in wavelength-routed networks using a dynamic traffic growth model. The dependence of blocking on different physical parameters is assessed.
We study the one-dimensional general non-Hermitian models with asymmetric long-range hopping and explore how to analytically solve the systems under some specific boundary conditions.Although the introduction of long-...We study the one-dimensional general non-Hermitian models with asymmetric long-range hopping and explore how to analytically solve the systems under some specific boundary conditions.Although the introduction of long-range hopping terms prevents us from finding analytical solutions for arbitrary boundary parameters,we identify the existence of exact solutions when the boundary parameters fulfill some constraint relations,which give the specific boundary conditions.Our analytical results show that the wave functions take simple forms and are independent of hopping range,while the eigenvalue spectra display rich model-dependent structures.Particularly,we find the existence of a special point coined as pseudo-periodic boundary condition,for which the eigenvalues are the same as those of the periodical system when the hopping parameters fulfill certain conditions,whereas the eigenstates display the non-Hermitian skin effect.展开更多
Chern number is usually characterized by Berry curvature.Here,by investigating the Dirac model of even-dimensional Chern insulator,we give the general relation between Berry curvature and quantum metric,which indicate...Chern number is usually characterized by Berry curvature.Here,by investigating the Dirac model of even-dimensional Chern insulator,we give the general relation between Berry curvature and quantum metric,which indicates that the Chern number can be encoded in quantum metric as well as the surface area of the Brillouin zone on the hypersphere embedded in Euclidean parameter space.We find that there is a corresponding relationship between the quantum metric and the metric on such a hypersphere.We give the geometrical property of quantum metric.Besides,we give a protocol to measure the quantum metric in the degenerate system.展开更多
Subject Code:F05 With the support by the National Natural Science Foundation of China,the research group from the Key Lab of Quantum Information(CAS)led by Prof.Guo Guangcan(郭光灿)at the University of Science and Tec...Subject Code:F05 With the support by the National Natural Science Foundation of China,the research group from the Key Lab of Quantum Information(CAS)led by Prof.Guo Guangcan(郭光灿)at the University of Science and Technology of China proposed a new routine to manipulate topological physics using only a single展开更多
文摘We investigate the impact of network topology on blocking probability in wavelength-routed networks using a dynamic traffic growth model. The dependence of blocking on different physical parameters is assessed.
基金the National Key Research and Development Program of China(Grant No.2016YFA0300600)the National Natural Science Foundation of China(Grant No.11974413)the Strategic Priority Research Program of Chinese Academy of Sciences(Grant No.XDB33000000).
文摘We study the one-dimensional general non-Hermitian models with asymmetric long-range hopping and explore how to analytically solve the systems under some specific boundary conditions.Although the introduction of long-range hopping terms prevents us from finding analytical solutions for arbitrary boundary parameters,we identify the existence of exact solutions when the boundary parameters fulfill some constraint relations,which give the specific boundary conditions.Our analytical results show that the wave functions take simple forms and are independent of hopping range,while the eigenvalue spectra display rich model-dependent structures.Particularly,we find the existence of a special point coined as pseudo-periodic boundary condition,for which the eigenvalues are the same as those of the periodical system when the hopping parameters fulfill certain conditions,whereas the eigenstates display the non-Hermitian skin effect.
文摘Chern number is usually characterized by Berry curvature.Here,by investigating the Dirac model of even-dimensional Chern insulator,we give the general relation between Berry curvature and quantum metric,which indicates that the Chern number can be encoded in quantum metric as well as the surface area of the Brillouin zone on the hypersphere embedded in Euclidean parameter space.We find that there is a corresponding relationship between the quantum metric and the metric on such a hypersphere.We give the geometrical property of quantum metric.Besides,we give a protocol to measure the quantum metric in the degenerate system.
文摘Subject Code:F05 With the support by the National Natural Science Foundation of China,the research group from the Key Lab of Quantum Information(CAS)led by Prof.Guo Guangcan(郭光灿)at the University of Science and Technology of China proposed a new routine to manipulate topological physics using only a single
