112 citations
7 papers
Odd-periodic Grover walk
Yusuke Yoshie
The Grover walk is one of the most well-studied quantum walks on graphs. In this paper, we investigate its periodicity to reveal the relationship between the quantum walk and the u…
A normal generating set for the Torelli group of a non-orientable closed surface
Susumu Hirose, Ryoma Kobayashi
For a closed surface , its Torelli group is the subgroup of the mapping class group of consisting of elements acting trivially on . When…
Membranes with a symmetry of cohomogeneity one
Hiroshi Kozaki, Tatsuhiko Koike, Hideki Ishihara
We study the dynamics of the Nambu-Goto membranes with cohomogeneity one symmetry, i.e., the membranes whose trajectories are foliated by homogeneous surfaces. It is shown that the…
Perturbations of Spacetime around a Stationary Rotating Cosmic String
Kouji Ogawa, Hideki Ishihara, Hiroshi Kozaki +1
We consider the metric perturbations around a stationary rotating Nambu-Goto string in Minkowski spacetime. By solving the linearized Einstein equations, we study the effects of az…
Dynamical vortex phases in a Bose-Einstein condensate driven by a rotating optical lattice
Kenichi Kasamatsu, Makoto Tsubota
We present simulation results of the vortex dynamics in a trapped Bose-Einstein condensate in the presence of a rotating optical lattice. Changing the potential amplitude and the r…
Modulation instability and solitary wave formation in two-component Bose-Einstein condensates
Kenichi Kasamatsu, Makoto Tsubota
We investigate nonlinear dynamics induced by the modulation instability of a two-component mixture in an atomic Bose-Einstein condensate. The nonlinear dynamics is examined using n…