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

Riccardo Adami; Reika Fukuizumi; Etsuo Segawa

doi:10.1007/s11128-019-2215-8

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

Riccardo Adami, Reika Fukuizumi, Etsuo Segawa

Research output: Contribution to journal › Article › peer-review

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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.

Original language	English
Article number	119
Journal	Quantum Information Processing
Volume	18
Issue number	4
DOIs	https://doi.org/10.1007/s11128-019-2215-8
Publication status	Published - 2019 Apr 1

Keywords

Nonlinear delta potential
Nonlinear quantum graph
Quantum walks

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Statistical and Nonlinear Physics
Theoretical Computer Science
Signal Processing
Modelling and Simulation
Electrical and Electronic Engineering

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10.1007/s11128-019-2215-8

Cite this

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title = "A nonlinear quantum walk induced by a quantum graph with nonlinear delta potentials",

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, Nonlinear quantum graph, Quantum walks",

author = "Riccardo Adami and Reika Fukuizumi and Etsuo Segawa",

note = "Funding Information: 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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AU - Segawa, Etsuo

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PY - 2019/4/1

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KW - Quantum walks

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

Abstract

Keywords

ASJC Scopus subject areas

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