Quantum dynamics on a lossy non-Hermitian lattice*

被引:12
|
作者
Wang, Li [1 ]
Liu, Qing [1 ]
Zhang, Yunbo [2 ,3 ]
机构
[1] Shanxi Univ, Inst Theoret Phys, Collaborat Innovat Ctr Extreme Opt, State Key Lab Quantum Opt & Quantum Opt Devices, Taiyuan 030006, Peoples R China
[2] Zhejiang Sci Tech Univ, Key Lab Opt Field Manipulat Zhejiang Prov, Hangzhou 310018, Peoples R China
[3] Zhejiang Sci Tech Univ, Dept Phys, Hangzhou 310018, Peoples R China
基金
中国国家自然科学基金;
关键词
quantum walk; non-Hermitian lattice; dissipations; edge states; POSITION; WALKS;
D O I
10.1088/1674-1056/abd765
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate quantum dynamics of a quantum walker on a finite bipartite non-Hermitian lattice, in which the particle can leak out with certain rate whenever it visits one of the two sublattices. Quantum walker initially located on one of the non-leaky sites will finally totally disappear after a length of evolution time and the distribution of decay probability on each unit cell is obtained. In one regime, the resultant distribution shows an expected decreasing behavior as the distance from the initial site increases. However, in the other regime, we find that the resultant distribution of local decay probability is very counterintuitive, in which a relatively high population of decay probability appears on the edge unit cell which is the farthest from the starting point of the quantum walker. We then analyze the energy spectrum of the non-Hermitian lattice with pure loss, and find that the intriguing behavior of the resultant decay probability distribution is intimately related to the existence and specific property of the edge states, which are topologically protected and can be well predicted by the non-Bloch winding number. The exotic dynamics may be observed experimentally with arrays of coupled resonator optical waveguides.
引用
收藏
页数:7
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