Fractal symmetries: Ungauging the cubic code

被引：130

作者：

Williamson, Dominic J. ^{[1
]}

机构：

[1] Univ Vienna, Vienna Ctr Quantum Technol, Boltzmanngasse 5, A-1090 Vienna, Austria

来源：

PHYSICAL REVIEW B | 2016年 / 94卷 / 15期

基金：

奥地利科学基金会;

关键词：

D O I：

10.1103/PhysRevB.94.155128

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Gauging is a ubiquitous tool in many-body physics. It allows one to construct highly entangled topological phases of matter from relatively simple phases and to relate certain characteristics of the two. Here we develop a gauging procedure for general submanifold symmetries of Pauli Hamiltonians, including symmetries of fractal type. We show a relation between the pre- and postgauging models and use this to construct short-range entangled phases with fractal-like symmetries, one of which is mapped to the cubic code by the gauging.

引用

页数：9