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A nonlinear quantum walk induced by a quantum graph with nonlinear delta potentials

  • Riccardo Adami
  • Reika Fukuizumi
  • Etsuo SegawaEmail author
Article
  • 58 Downloads

Abstract

We study a nonlinear quantum walk naturally induced by a quantum graph with nonlinear delta potentials. We find a strongly ballistic spreading in the behavior of this nonlinear quantum walk with some special initial states.

Keywords

Nonlinear delta potential Quantum walks Nonlinear quantum graph 

Notes

Acknowledgements

E.S. acknowledges financial supports from the Grant-in-Aid for Young Scientists (B) and of Scientific Research (B) Japan Society for the Promotion of Science (Grant Nos. 16K17637, 16H03939). We would like to thank the referees for helpful comments and suggestions.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.DISMA -Dipartimento di Scienze Matematiche “G. L. Lagrange”Politecnico di TorinoTurinItaly
  2. 2.Research Center for Pure and Applied Mathematics, Graduate School of Information SciencesTohoku UniversitySendaiJapan
  3. 3.Graduate School of Education CenterYokohama National UniversityYokohamaJapan

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