量子点分子的Greenberger-Horne-Zeilinger态
Greenberger-Horne-Zeilinger States in Quantum Dot Molecule
摘要：
提出了径向磁场中的横向量子点分子的微观理论，其中三粒子基态为Greenberger-Horne- Zeilinger（GHZ）最大纠缠态.该量子点分子由三个量子点组成，每个量子点具有一个电子自旋，形成一个中心等边三角形。反铁磁自旋-自旋相互作用被额外的双占据量子点改变为铁磁相互作用，三角形的每一边都有一个量子点。磁场由微磁体提供。用扩展的哈伯德哈密顿量描述电子间的相互作用，用组态相互作用方法得到电子态。建立了一组参数，使分子在径向磁场中的基态很好地近似于GHZ态。
英文摘要：
We present a microscopic theory of a lateral quantum dot molecule in a radial magnetic field with a Greenberger- Horne- Zeilinger (GHZ) maximally entangled three particle groundstate. The quantum dot molecule consists of three quantum dots with one electron spin each forming a central equilateral triangle. The anti-ferromagnetic spin-spin interaction is changed to the ferromagnetic interaction by additional doubly occupied quantum dots, one dot near each side of a triangle. The magnetic field is provided by micro-magnets. The interaction among the electrons is described within an extended Hubbard Hamiltonian and electronic states are obtained using configuration interaction approach. The set of parameters is established for which the ground state of the molecule in a radial magnetic field is well approximated by a GHZ state.
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