Interacting quantum walkers: Two-body bosonic and fermionic bound states
Mesoscale and Nanoscale Physics
2015-11-06 v2 Statistical Mechanics
Abstract
We investigate the dynamics of bound states of two interacting particles, either bosons or fermions, performing a continuous-time quantum walk on a one-dimensional lattice. We consider the situation where the distance between both particles has a hard bound, and the richer situation where the particles are bound by a smooth confining potential. The main emphasis is on the velocity characterizing the ballistic spreading of these bound states, and on the structure of the asymptotic distribution profile of their center-of-mass coordinate. The latter profile generically exhibits many internal fronts.
Cite
@article{arxiv.1507.01363,
title = {Interacting quantum walkers: Two-body bosonic and fermionic bound states},
author = {P. L. Krapivsky and J. M. Luck and K. Mallick},
journal= {arXiv preprint arXiv:1507.01363},
year = {2015}
}
Comments
31 pages, 14 figures