Quantum walks in artificial electric and gravitational fields

Giuseppe Di Molfetta, Marc Brachet and Fabrice Debbasch

Physica A: Statistical Mechanics and its Applications, 2014, vol. 397, issue C, 157-168

Abstract: The continuous limit of quantum walks (QWs) on the line is revisited through a new, 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. Possible experimental realizations are also addressed.

Keywords: Quantum walks; Artficial gauge fields; Low dimensional physics; Quantum optics (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:397:y:2014:i:c:p:157-168

DOI: 10.1016/j.physa.2013.11.036

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