Asymptotic stability of small bound state of nonlinear quantum walks

被引：2
|
作者：
Maeda, Masaya [1 ]
机构：
[1] Chiba Univ, Fac Sci, Dept Math & Informat, Chiba 2638522, Japan
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2022年 / 439卷
关键词：
Quantum walks; Bound  states; Symptotic stability; SCHRODINGER-EQUATIONS; DISCRETE SCHRODINGER; STANDING WAVES; OPERATORS; INSTABILITY; SCATTERING; NLS;
D O I：
10.1016/j.physd.2022.133408
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the long time behavior of nonlinear quantum walks when the initial data is small in l(2). In particular, we study the case where the linear part of the quantum walk evolution operator has exactly two eigenvalues and show that the solution decomposed into nonlinear bound states bifurcating from the eigenvalues and scattering waves. (C) 2022 The Author(s). Published by Elsevier B.V.
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页数：14
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