发表机构
Asia Pacific Center for Theoretical Physics（亚太理论物理中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究利用Doplicher-Haag-Roberts双模形式主义建立了任意子凝聚的张量范畴与算子代数两种表述的关联，定义了熵序参量并证明其界，为拓扑量子场论转变研究提供了直观方法。
AI 中文摘要
描述拓扑量子场论之间转变的任意子凝聚可采用张量范畴或算子代数的语言表述。我们利用文献[1]中新近发展的准局部C*-代数上的Doplicher-Haag-Roberts双模形式主义研究与某一算子代数扩张相关的任意子凝聚，以直观的图示方式明确建立了两种表述中概念的关联。我们自然定义了作为表征凝聚的量子信息论度量的熵序参量，并给出了其界的极简单证明。
英文摘要
Anyon condensation that describes the transition between topological quantum field theories can be formulated in the language of tensor categories or that of operator algebras. We deploy the formalism of Doplicher-Haag-Roberts bimodules over quasi-local $\mathrm{C}^{*}$-algebras recently developed in [1] to investigate anyon condensation, which is associated with an extension of a certain operator algebra. The connection between notions in the two formulations is thereby made manifest in an intuitive, diagrammatic manner. An entropic order parameter, as the quantum information-theoretic measure characterising a condensation, is naturally defined, and we give a very simple proof of a bound on it.
Comments23 pages; an error corrected
