Experimental Proposal on Non-Hermitian Skin Effect by Two-dimensional Quantum Walk with a Single Trapped Ion

被引:2
|
作者
Hou, Waner [1 ,2 ]
Tang, Hao [1 ,2 ]
Xu, Qin [1 ,2 ]
Lin, Yiheng [1 ,2 ,3 ]
机构
[1] Univ Sci & Technol China, CAS Key Lab Microscale Magnet Resonance, Hefei 230026, Peoples R China
[2] Univ Sci & Technol China, Sch Phys Sci, Hefei 230026, Peoples R China
[3] Univ Sci & Technol China, Hefei Natl Lab, Hefei 230088, Peoples R China
基金
中国国家自然科学基金;
关键词
DYNAMICS; STATE;
D O I
10.1088/0256-307X/41/4/040301
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Non-Hermitian Hamiltonians are widely used in describing open systems with gain and loss, among which a key phenomenon is the non-Hermitian skin effect. Here we report an experimental scheme to realize a two-dimensional (2D) discrete-time quantum walk with non-Hermitian skin effect in a single trapped ion. It is shown that the coin and 2D walker states can be labeled in the spin of the ion and the coherent-state lattice of the ion motion, respectively. We numerically observe a directional bulk flow, whose orientations are controlled by dissipative parameters, showing the emergence of the non-Hermitian skin effect. We then discuss an experimental implementation of our scheme in a laser-controlled trapped Ca+ ion. Our experimental proposal may be applicable to research of dissipative quantum walk systems and may be able to generalize to other platforms, such as superconducting circuits and atoms in cavity.
引用
收藏
页数:6
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