2 papers
cond-mat.quant-gas2022
Multi-Quantum Dark Solitons in One-Dimensional Bose Gas
Yuki Ishiguro, Jun Sato, Katsuhiro Nishinari
Quantum and classical integrable systems share common mathematical structures, and the phenomena appearing in them are interrelated. Solitons, which universally appear in classical…
cond-mat.stat-mech2020
Burgers equation with finite particle correction of the asymmetric simple exclusion process derived from the derivative nonlinear Schrödinger equation
Yuki Ishiguro, Jun Sato, Katsuhiro Nishinari
We investigate the dynamics of the asymmetric simple exclusion process (ASEP) on a ring. The ASEP is equivalent to the derivative nonlinear Schrödinger equation (DNLS), which is in…