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Boundary Hamiltonian theory of 2D topological orders
2017-09-27  【 】【打印】【关闭

CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

Chinese Academy of Sciences

Seminar

Title

题目

Boundary Hamiltonian theory of 2D topological orders

Speaker

报告人

Prof. Yidun Wan (万义顿教授)

Affiliation

所在单位

Fudan Univ. (复旦大学)

Date

日期

10:30am, Wed., Sep. 27, 2017 (9月27日上午10点半)

Venue

地点

Conference Hall 322, ITP

Abstract

摘要

 I shall present our systematic construction of the lattice Hamiltonian model of topological orders on open surfaces, with explicit boundary terms. The full Hamiltonian in our approach yields a topologically protected, gapped energy spectrum, with the corresponding wave functions robust under topology-preserving transformations of the lattice of the system. We explicitly present the wavefunctions of the ground states and boundary elementary excitations. We construct the creation and hopping operators of boundary quasi-particles. We find that given a bulk topological order, the gapped boundary conditions are classified by Frobenius algebras in its input data. Emergent topological properties of the ground states and boundary excitations are characterized by (bi-) modules over Frobenius algebras. (A pedagogical introduction will be also given.)

Contact Person

所内联系人

杨刚
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