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Directional correlations in quantum walks with two particles

Stefanak, M. and Barnett, S. M. and Kollar, B. and Kiss, T. and Jex, I. (2011) Directional correlations in quantum walks with two particles. New Journal of Physics, 13 (March). ISSN 1367-2630

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Abstract

Quantum walks on a line with a single particle possess a classical analogue. Involving more walkers opens up the possibility of studying collective quantum effects, such as many-particle correlations. In this context, entangled initial states and the indistinguishability of the particles play a role. We consider the directional correlations between two particles performing a quantum walk on a line. For non-interacting particles, we find analytic asymptotic expressions and give the limits of directional correlations. We show that by introducing delta-interaction between the particles, one can exceed the limits for non-interacting particles.