Disordered quantum walks in two-dimensional lattices

doi:10.1088/1674-1056/24/1/010303

中国物理B ›› 2015, Vol. 24 ›› Issue (1): 10303-010303.doi: 10.1088/1674-1056/24/1/010303

Disordered quantum walks in two-dimensional lattices

Zhang Rong(张融), Xu Yun-Qiu(徐韵秋), Xue Peng(薛鹏)

a Department of Physics, Southeast University, Nanjing 211189, China;
b School of Optoelectronic Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210023, China;
c State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China

收稿日期:2014-05-04 修回日期:2014-08-04 出版日期:2015-01-05 发布日期:2015-01-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11174052), the National Basic Research Program of China (Grant No. 2011CB921203), and the Open Fund from the State Key Laboratory of Precision Spectroscopy of East China Normal University.

Disordered quantum walks in two-dimensional lattices

Zhang Rong(张融)^{a b}, Xu Yun-Qiu(徐韵秋)^b, Xue Peng(薛鹏)^{a c}

a Department of Physics, Southeast University, Nanjing 211189, China;
b School of Optoelectronic Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210023, China;
c State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China

Received:2014-05-04 Revised:2014-08-04 Online:2015-01-05 Published:2015-01-05
Contact: Xue Peng E-mail:gnep.eux@gmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11174052), the National Basic Research Program of China (Grant No. 2011CB921203), and the Open Fund from the State Key Laboratory of Precision Spectroscopy of East China Normal University.

摘要/Abstract

摘要：

The properties of the two-dimensional quantum walk with point, line, and circle disorders in phase are reported. Localization is observed in the two-dimensional quantum walk with certain phase disorder and specific initial coin states. We give an explanation of the localization behavior via the localized stationary states of the unitary operator of the walker + coin system and the overlap between the initial state of the whole system and the localized stationary states.

关键词: quantum walk, Anderson localization, phase disorder

Abstract:

Key words: quantum walk, Anderson localization, phase disorder

中图分类号: (Quantum computation architectures and implementations)

03.67.Lx

05.40.Fb (Random walks and Levy flights) 71.23.-k (Electronic structure of disordered solids) 05.45.Mt (Quantum chaos; semiclassical methods)

张融, 徐韵秋,薛鹏. Disordered quantum walks in two-dimensional lattices[J]. 中国物理B, 2015, 24(1): 10303-010303.

Zhang Rong(张融), Xu Yun-Qiu(徐韵秋), Xue Peng(薛鹏). Disordered quantum walks in two-dimensional lattices[J]. Chin. Phys. B, 2015, 24(1): 10303-010303.

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Disordered quantum walks in two-dimensional lattices

Disordered quantum walks in two-dimensional lattices

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