Bulk-Boundary Correspondence for Interacting Floquet Systems in Two Dimensions

被引：2

作者：

Zhang, Carolyn ^{[1
]}

Levin, Michael ^{[1
]}

机构：

[1] Univ Chicago, Kadanoff Ctr Theoret Phys, Dept Phys, Chicago, IL 60637 USA

来源：

PHYSICAL REVIEW X | 2023年 / 13卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevX.13.031038

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a method for deriving bulk and edge invariants for interacting, many-body localized Floquet systems in two spatial dimensions. This method is based on a general mathematical object which we call a flow. As an application of our method, we derive bulk invariants for Floquet systems without symmetry, as well as for systems with U(1) symmetry. We also derive new formulations of previously known singleparticle and many-body invariants. For bosonic systems without symmetry, our invariant gives a bulk counterpart of the rational-valued Gross-Nesme-Vogts-Werner index p/q quantifying transport of quantum information along the edge.

引用

页数：29

共 43 条

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[Anonymous], describes how to construct bulk invariants in terms of a bulk magnetization operator (in the case of fermionic Fock spaces) but does not obtain explicit formulas for these invariants

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[Anonymous], See Sec. VIII for the definition of Uedge for general MBL Floquet circuits

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[Anonymous], The invariant omegaA,B(U) is closely related to the flow of a unitary matrix

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[Anonymous], We discuss the generalization of our results to fermionic systems

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