143 citations · 470 across the 8 of their papers we have counts for
8 papers
Two-Species Asymmetric Simple Exclusion Process with Open Boundaries
Masaru Uchiyama
We study the steady state of the two-species Asymmetric Simple Exclusion Process (ASEP) with open boundary conditions. The matrix product method works for the determination of the…
Multicomponent Bright Solitons in F = 2 Spinor Bose-Einstein Condensates
Masaru Uchiyama, Jun'ichi Ieda, Miki Wadati
We study soliton solutions for the Gross--Pitaevskii equation of the spinor Bose--Einstein condensates with hyperfine spin F=2 in one-dimension. Analyses are made in two ways: by a…
A_k Generalization of the O(1) Loop Model on a Cylinder: Affine Hecke Algebra, q-KZ Equation and the Sum Rule
Keiichi Shigechi, Masaru Uchiyama
We study the A_k generalized model of the O(1) loop model on a cylinder. The affine Hecke algebra associated with the model is characterized by a vanishing condition, the cylindric…
Dark solitons in F=1 spinor Bose--Einstein condensate
Masaru Uchiyama, Jun'ichi Ieda, Miki Wadati
We study dark soliton solutions of a multi-component Gross--Pitaevskii equation for hyperfine spin F=1 spinor Bose--Einstein condensate. The interactions are supposed to be inter-a…
Inverse scattering method for square matrix nonlinear Schrödinger equation under nonvanishing boundary conditions
Jun'ichi Ieda, Masaru Uchiyama, Miki Wadati
Matrix generalization of the inverse scattering method is developed to solve the multicomponent nonlinear Schrödinger equation with nonvanishing boundary conditions. It is shown th…
Boxed Skew Plane Partition and Integrable Phase Model
Keiichi Shigechi, Masaru Uchiyama
We study the relation between the boxed skew plane partition and the integrable phase model. We introduce a generalization of a scalar product of the phase model and calculate it i…