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.
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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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Adami, R., Fukuizumi, R. & Segawa, E. A nonlinear quantum walk induced by a quantum graph with nonlinear delta potentials. Quantum Inf Process 18, 119 (2019). https://doi.org/10.1007/s11128-019-2215-8
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DOI: https://doi.org/10.1007/s11128-019-2215-8