Tong, PQ (reprint author), Nanjing Normal Univ, Dept Phys, Nanjing 210023, Jiangsu, Peoples R China.
The dynamical and static disordered quantum walks were extensively studied recently. It is found that, for the dynamical disorder case, the transport behavior of particles is diffusive, and for the static disorder case the transport behavior is localized. In this work, we study the effect of quantum coins on the transport behaviors of the binary disordered quantum walks. We find that once the coins satisfy certain conditions, the sub-ballistic spreading could be found in binary dynamical disorder quantum walks, and the sub-ballistic, diffusive and sub-diffusive spreadings could be found in binary static disorder quantum walks. We obtain the necessary conditions for those abnormal diffusive behaviors.
National Natural Science Foundation of China 
; National Basic Research Program of China [2009CB929501]
; Project on Graduate Students' Education and Innovation of Jiangsu Province [CXZZ13_0392]