3 papers
quant-ph2026
Perfect transmission and parallel composition for quantum walks on graphs with two leads
Allan John Gerrard, Ryo Asaka, Kazumitsu Sakai
We study scattering for continuous-time quantum walks on finite graphs with two attached leads. We derive explicit formulae for the two-terminal scattering matrix in terms of chara…
math.QA2026
Multiple commutation relations of the quantum affine algebra , nested Bethe vector and the Gelfand-Tsetlin basis
Allan John Gerrard, Kohei Motegi, Kazumitsu Sakai
We study a certain type of multiple commutation relations of the quantum affine algebra . We show that all the coefficients in the multiple commutat…
math-ph2024
Higher rank elliptic partition functions and multisymmetric elliptic functions
Allan John Gerrard, Kohei Motegi, Kazumitsu Sakai
We introduce and investigate a class of partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition function…