Experimental Observation of Topologically Protected Bound States with Vanishing Chern Numbers in a Two-Dimensional Quantum Walk

2018 ◽  
Vol 121 (10) ◽  
Author(s):  
Bo Wang ◽  
Tian Chen ◽  
Xiangdong Zhang
Keyword(s):  
Experimental Observation ◽  
Bound States ◽  
Quantum Walk ◽  
Two Dimensional ◽  
Chern Numbers

scholarly journals Experimental Observation of Large Chern Numbers in Photonic Crystals

2015 ◽  
Vol 115 (25) ◽  
Author(s):  
Scott A. Skirlo ◽  
Ling Lu ◽  
Yuichi Igarashi ◽  
Qinghui Yan ◽  
John Joannopoulos ◽  
...  
Keyword(s):  
Photonic Crystals ◽  
Experimental Observation ◽  
Chern Numbers

Bound states at impurities in a two-dimensional metal

2005 ◽  
Vol 72 (3) ◽  
pp. 430-436 ◽  
Author(s):  
E Dupont-Ferrier ◽  
P Mallet ◽  
L Magaud ◽  
J. Y Veuillen
Keyword(s):  
Bound States ◽  
Two Dimensional

scholarly journals Quantum walks and elliptic integrals

2010 ◽  
Vol 20 (6) ◽  
pp. 1091-1098 ◽  
Author(s):  
NORIO KONNO
Keyword(s):  
Random Walk ◽  
Generating Function ◽  
Elliptic Integral ◽  
Quantum Walk ◽  
Quantum Walks ◽  
Elliptic Integrals ◽  
Two Dimensional ◽  
One Dimensional ◽  
Similar Expression ◽  
Return Probability

Pólya showed in his 1921 paper that the generating function of the return probability for a two-dimensional random walk can be written in terms of an elliptic integral. In this paper we present a similar expression for a one-dimensional quantum walk.

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