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Quantum walks in artificial electric and gravitational fields

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  • Di Molfetta, Giuseppe
  • Brachet, Marc
  • Debbasch, Fabrice

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.

Suggested Citation

  • Di Molfetta, Giuseppe & Brachet, Marc & Debbasch, Fabrice, 2014. "Quantum walks in artificial electric and gravitational fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 397(C), pages 157-168.
    • Handle: RePEc:eee:phsmap:v:397:y:2014:i:c:p:157-168
    DOI: 10.1016/j.physa.2013.11.036
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    Cited by:

    1. Rousseva, Jenia & Kovchegov, Yevgeniy, 2017. "On alternating quantum walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 470(C), pages 309-320.
    2. Arnault, Pablo & Debbasch, Fabrice, 2016. "Landau levels for discrete-time quantum walks in artificial magnetic fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 179-191.

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