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| Boundary Hamiltonian theory of 2D topological orders |
| 2017-09-27
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| 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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