Localization and recurrence of a quantum walk in a periodic potential on a line

• Published in: Chinese physics B Vol. 23; no. 11; pp. 161 - 168
• Main Author: 鄒忠毅 何俊麟
• Format: Journal Article
• Language: English
• Published: 01.11.2014
• Subjects: Coins; Localization; Mathematical models; Origins; Position (location); 周期势; 哈达玛矩阵; 复发; 定位效果; 数值模拟; 数值研究; 本地化; 量子

We present a numerical study of a model of quantum walk in a periodic potential on a line. We take the simple view that different potentials have different affects on the way in which the coin state of the walker is changed. For simplicity and definiteness, we assume that the walker＇s coin state is...