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相互作用驱动下Peierls-Hubbard模型的拓扑量子相变

Peierls-Hubbard Model of Interaction-driven Topological Phase

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摘要

最近实验上利用超冷费米气体研究相互作用的对称性保护的拓扑相(SPT)备受关注,尤其是探测开边界下的拓扑边界态。本文利用密度矩阵重整化群(DMRG)方法研究了Peierls-Hubbard模型的拓扑性,通过开边界下的拓扑边界态,纠缠熵和纠缠谱等多种方法确定了系统的拓扑相,绘制了相应的相图。相互作用驱动系统进入新的拓扑类,在冷原子超晶格中可以测量拓扑边界态的局域密度分布来确定系统的拓扑性质。

Abstract

Recently, investigating to investigate the symmetry-protected topological (SPT) phase by using interaction ultracold Fermi gas has been gaining an increasing attention in experiment,especially by decting topological edge state with open boundary condition.We use numerical density matrix renormalization group method to address the topological properties of Peierls-Hubbard mode by calculating topological boundary states, entangelment entropy and entangelment spectrum.We identify their topological phase and obtain the phase diagrams of these systems. Interactions give rise to different topological classification,and these topological properties can be probed by measuring local density distribution of topological edge modes.

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中图分类号:O431

DOI:10.3788/jqo20172304.0007

所属栏目:光与物质相互作用

基金项目:国家自然科学基金(11275118)

收稿日期:2017-05-24

修改稿日期:2017-06-23

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作者单位    点击查看

许凯凯:山西大学 理论物理研究所,山西 太原 030006
梁军军:山西大学 理论物理研究所,山西 太原 030006

联系人作者:梁军军(liangjj@sxu.edu.cn)

备注:许凯凯(1990-), 男, 山西吕梁人, 在读硕士, 研究方向: 冷原子物理。

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引用该论文

XU Kai-kai,LIANG Jun-jun. Peierls-Hubbard Model of Interaction-driven Topological Phase[J]. Acta Sinica Quantum Optica, 2017, 23(4): 359-364

许凯凯,梁军军. 相互作用驱动下Peierls-Hubbard模型的拓扑量子相变[J]. 量子光学学报, 2017, 23(4): 359-364

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