Continuous-time quantum walk of two interacting fermions on a cycle graph

被引:5
|
作者
Melnikov, Alexey A. [1 ]
Fedichkin, Leonid E. [1 ,2 ,3 ]
机构
[1] Russian Acad Sci, Inst Phys & Technol, Nakhimovskii Prospekt 36-1, Moscow 117218, Russia
[2] NIX, Zvezdniy Blvd 19, Moscow 129085, Russia
[3] Moscow Inst Phys & Technol, Inst Skii Pereulok 9, Dolgoprudnyi 141700, Moscow Region, Russia
基金
俄罗斯科学基金会;
关键词
Quantum walks; cycle graph; interacting electrons; fermionic entanglement; quantum dots; CHARGE QUBITS;
D O I
10.1117/12.2267094
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
We study a continuous-time quantum walk of interacting fermions on a cycle graph. By finding analytical solutions and simulating the dynamics of two fermions we observe a diverse structure of entangled states of indistinguishable fermions. The relation between entanglement of distinguishable qutrits and indistinguishable electrons is observed. Restrictions imposed by the symmetry of a cycle graph are derived. Possible realization of a quantum walk in an array of semiconductor quantum dots is discussed.
引用
收藏
页数:6
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