43 citations · 382 across the 27 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2012★ 26 cited
Matrix product solution to an inhomogeneous multi-species TASEP
Chikashi Arita, Kirone Mallick
We study a multi-species exclusion process with inhomogeneous hopping rates. This model is equivalent to a Markov chain on the symmetric group that corresponds to a random walk in…
math-ph2010★ 6 cited
Spin-spin correlation functions of the q-VBS state of an integer spin model
Chikashi Arita, Kohei Motegi
We consider the valence-bond-solid ground state of the q-deformed higher-spin AKLT model (q-VBS state). We investigate the eigenvalues and eigenvectors of a matrix (G matrix), whic…
math-ph2009★ 43 cited
Spectrum in multi-species asymmetric simple exclusion process on a ring
Chikashi Arita, Atsuo Kuniba, Kazumitsu Sakai +1
The spectrum of Hamiltonian (Markov matrix) of a multi-species asymmetric simple exclusion process on a ring is studied. The dynamical exponent concerning the relaxation time is fo…