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Quantum Walks in artificial electric and gravitational Fields
Published 19 Sep 2013 in quant-ph, cs.IT, gr-qc, math-ph, math.IT, and math.MP | (1309.4923v1)
Abstract: The continuous limit of quantum walks (QWs) on the line is revisited through a recently developed method. In all cases but one, the limit coincides with the dynamics of a Dirac fermion coupled to an artificial electric and/or relativistic gravitational field. All results are carefully discussed and illustrated by numerical simulations.
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