M-Particle Quantum Walks with Delta-Interaction

Understand

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.