In this paper,based on the adjacency matrix of the network and its powers,the formulas are derived for theshortest path and the average path length,and an effective algorithm is presented.Furthermore,an example is pro...In this paper,based on the adjacency matrix of the network and its powers,the formulas are derived for theshortest path and the average path length,and an effective algorithm is presented.Furthermore,an example is providedto demonstrate the proposed method.展开更多
By employing the method of the multiconfigurational time-dependent Hartree for bosons,we investigate the ground state properties of a singly trapped dipolar gas of spinless bosons.We show that the repulsive interactio...By employing the method of the multiconfigurational time-dependent Hartree for bosons,we investigate the ground state properties of a singly trapped dipolar gas of spinless bosons.We show that the repulsive interactions favor the formation of the fragmented ground state.In particular,we find the formation of the fragmented state is mainly due to the interaction energies associated with the one-and two-particle exchanges between orbitals.We also obtain the stability diagram of the system and find that the stability of the system is significantly enhanced by the appearance of the fragmentation.展开更多
基金National Natural Science Foundation of China under the Key Project under Grant Nos.10635040 and 60774073the Natural Science Foundation of Jiangsu Province of China under Grant No.BK2007075
文摘In this paper,based on the adjacency matrix of the network and its powers,the formulas are derived for theshortest path and the average path length,and an effective algorithm is presented.Furthermore,an example is providedto demonstrate the proposed method.
基金supported by the National Natural Science Foundation of China (Grant Nos. 11025421,10974209,and 10935010)the National Basic Research Program of China (Grant No. 2012CB922104)
文摘By employing the method of the multiconfigurational time-dependent Hartree for bosons,we investigate the ground state properties of a singly trapped dipolar gas of spinless bosons.We show that the repulsive interactions favor the formation of the fragmented ground state.In particular,we find the formation of the fragmented state is mainly due to the interaction energies associated with the one-and two-particle exchanges between orbitals.We also obtain the stability diagram of the system and find that the stability of the system is significantly enhanced by the appearance of the fragmentation.
