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arXiv 0806.1688cond-mat.othercond-mat.str-el
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费米子中的任意子与常规两体相互作用

Anyons from fermions with conventional two-body interactions

Yue Yu, Yi Li

摘要:

涌现任意子是拓扑量子计算和拓扑量子存储的关键元素。我们研究了开边界条件下具有常规两体相互作用的两分量费米子模型,并证明了低激发中的几个子集服从与环面码模型相同的融合规则。这些弦状的非局域激发在一个给定的子集服从相互半离子统计。我们展示了如何从其他的简并子集中剥离出一个这样的子集,并利用已建立的技术操纵光晶格中的冷偶极费米原子或冷偶极费米异质结分子中的任意子。

英文摘要:

Emergent anyons are the key elements of the topological quantum computation and topological quantum memory. We study a two-component fermion model with conventional two-body interaction in an open boundary condition and show that several subsets in the low-lying excitations obey the same fusion rules as those of the toric code model. Those string-like non-local excitations in a given subset obey mutual semionic statistics. We show how to peel off one of such subset from other degenerate subsets and manipulate anyons in cold dipolar Fermi atoms or cold dipolar fermionic heteronuclear molecules in optical lattices by means of the established techniques.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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