| Localization and recurrence of a quantum walk in a periodic potential on a line |
| |
| 作者姓名： | 鄒忠毅 何俊麟 |
| |
| 作者单位： | Department of Physics, Chinese Culture University;Department of Physics, Tamkang University |
| |
| 基金项目： | Project supported by the Ministry of Science and Technology of Taiwan, China （Grant Nos. NSC-99-2112-M-032-002-MY3 and NSC 102-2112-M-032-003- MY3） and the National Center for Theoretical Sciences （North） （NCTS-n） of China.
We would like to thank Y. Shikano for comments and for updating us on the relevant references. |
| |
| 摘 要： | 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 unaffected at sites without the potential, and rotated in an unbiased way according to the Hadamard matrix at sites with the potential. This is the simplest and most natural model of a quantum walk in a periodic potential with two coins. Six generic cases of such quantum walks are studied numerically. It is found that, of the six cases, four cases display significant localization effect where the walker is confined in the neighborhood of the origin for a sufficiently long time. Associated with such a localization effect is the recurrence of the probability of the walker returning to the neighborhood of the origin.
|
| 关 键 词： | 周期势 量子 复发 本地化 定位效果 哈达玛矩阵 数值模拟 数值研究 |
Localization and recurrence of a quantum walk in a periodic potential on a line |
| |
| Affiliation: | [1]Department of Physics, Chinese Culture University, Taipei 111, Taiwan, China; [2]Department of Physics, Tamkang University, Tamsui 251, Taiwan, China |
| |
| Abstract: | quantum walk, periodic potential, localization, recurrence |
| |
| Keywords: | quantum walk periodic potential localization recurrence |
| 本文献已被 CNKI 维普 等数据库收录！ |
