M-Particle Quantum Walks with Delta-Interaction
Quantum Physics
2011-06-22 v3 Mathematical Physics
math.MP
Abstract
We consider directional correlations between M-particles on a line. For non-interacting particles we find analytic asymptotic expressions. When delta-interaction is introduced in the model we study the Fourier analysis and obtain general analytic formula for the wave function of the walk in the case M is 2 for the transformation C-delta, which can be considered an unfactorized version of the Hadamard walk in two-dimensions.
Cite
@article{arxiv.1105.6076,
title = {M-Particle Quantum Walks with Delta-Interaction},
author = {Clement Ampadu},
journal= {arXiv preprint arXiv:1105.6076},
year = {2011}
}
Comments
18 pages, shorter version uploaded and will be submitted for publication shortly. The companion paper to be released in the next month or so will study the localization problem for the M-particle walk