Weak limit theorem for a nonlinear quantum walk

Abstract

This paper continues the study of large time behavior of a nonlinear quantum walk begun in arXiv:1801.03214. In this paper, we provide a weak limit theorem for the distribution of the nonlinear quantum walk. The proof is based on the scattering theory of the nonlinear quantum walk and the limit distribution is obtained in terms of its asymptotic state.

8 pages, text overlap with arXiv:1711.00620

References in corpus (2)

• Nonlinear optical Galton board
• Scattering and inverse scattering for nonlinear quantum walks

Cited by in corpus (2)

• Scattering and inverse scattering for nonlinear quantum walks
• A weak limit theorem for a class of long range type quantum walks in 1d