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Entanglement entropy of generalized Moore-Read fractional quantum Hall state interfaces

机译：广义摩尔读数分数量子厅界面界面的纠缠熵

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摘要

Topologically ordered phases of matter can be characterized by the presence of a universal, constant contribution to the entanglement entropy known as the topological entanglement entropy (TEE). The TEE can be calculated for Abelian phases via a "cut-and-glue" approach by treating the entanglement cut as a physical cut, coupling the resulting gapless edges with explicit tunneling terms, and computing the entanglement between the two edges. We provide a first step towards extending this methodology to non-Abelian topological phases, focusing on the generalized Moore-Read (MR) fractional quantum Hall states at filling fractions ⅴ = 1. We consider interfaces between different MR states, write down explicit gapping interactions, which we motivate using an anyon condensation picture, and compute the entanglement entropy for an entanglement cut lying along the interface. Our work provides new insight towards understanding the connections between anyon condensation, gapped interfaces of non-Abelian phases, and TEE.
机译：物质的拓扑有序相位可以通过存在通用的，对被称为拓扑纠缠熵（TEE）的缠结熵的普遍性的持续贡献来表征。通过将切割作为物理切割的缠结切割，可以通过“切割且胶水”方法来计算TEE，通过将所得的无形边缘与显式隧道术语耦合，并计算两个边缘之间的缠结。我们提供了将该方法扩展到非阿比越拓扑阶段的第一步，专注于填充馏分ⅴ= 1 / N的广义摩尔读取（MR）分数朗米展示。我们考虑在不同MR状态之间的接口，写下我们使用Anyon Cryentation图片的显式拍摄交互，并计算沿接口的纠缠切割的纠缠熵。我们的作品为了解非雅中阶段的任何凝结，隐形界面和T恤之间的联系提供了新的洞察。

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  • 来源
    《Physical review》 |2020年第4期|045102.1-045102.29|共29页
  • 作者

    Ramanjit Sohal; Bo Han; Luiz H. Santos; Jeffrey C. Y. Teo;

  • 作者单位

    Department of Physics and Institute for Condensed Matter Theory University of Illinois at Urbana-Champaign 1110 West Green Street Urbana Illinois 61801 USA;

    T.C.M. Group Cavendish Laboratory University of Cambridge J.J. Thomson Avenue Cambridge CB3 0HE United Kingdom Department of Physics and Institute for Condensed Matter Theory University of Illinois at Urbana-Champaign 1110 West Green Street Urbana Illinois 61801 USA;

    Department of Physics Emory University Atlanta Georgia 30322 USA;

    Department of Physics University of Virginia Charlottesville Virginia 22904 USA;

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