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

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作者
Riccardo Adami
Reika Fukuizumi
Etsuo Segawa
机构
[1] Politecnico di Torino,DISMA
[2] Tohoku University,Dipartimento di Scienze Matematiche “G. L. Lagrange”
[3] Yokohama National University,Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences
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关键词
Nonlinear delta potential; Quantum walks; Nonlinear quantum graph;
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摘要
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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