M-Particle Quantum Walks with Delta-Interaction

Details M-Particle Quantum Walks with Delta-Interaction M-Particle Quantum Walks with Delta-Interaction

2011-05-30

arxiv.org/abs/1105.6076v3

Physics

Quantum Physics

18 pages, shorter version uploaded and will be submitted for publication shortly. The companion paper to be released in the ne

Scientific paper

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.

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