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Directional correlations in quantum walks with two particles

Štefaňák, M. and Barnett, S M and Kollár, B and Kiss, T and Jex, I (2011) Directional correlations in quantum walks with two particles. New Journal of Physics, 13. 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.