M-Particle Quantum Walks with Delta-Interaction
arXiv:1105.6076
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.
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