تقرير
Boundary and domain wall theories of 2d generalized quantum double model
| العنوان: | Boundary and domain wall theories of 2d generalized quantum double model |
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| المؤلفون: | Jia, Zhian, Kaszlikowski, Dagomir, Tan, Sheng |
| المصدر: | JHEP 07 (2023) 160 |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Condensed Matter - Strongly Correlated Electrons, Mathematical Physics |
| الوصف: | The generalized quantum double lattice realization of 2d topological orders based on Hopf algebras is discussed in this work. Both left-module and right-module constructions are investigated. The ribbon operators and the classification of topological excitations based on the representations of the quantum double of Hopf algebras are discussed. To generalize the model to a 2d surface with boundaries and surface defects, we present a systematic construction of the boundary Hamiltonian and domain wall Hamiltonian. The algebraic data behind the gapped boundary and domain wall are comodule algebras and bicomodule algebras. The topological excitations in the boundary and domain wall are classified by bimodules over these algebras. The ribbon operator realization of boundary-bulk duality is also discussed. Finally, via the Hopf tensor network representation of the quantum many-body states, we solve the ground state of the model in the presence of the boundary and domain wall. Comment: v1: 41 pages; v2: some typos fixed; v3: some references added; v4: 62 pages, algebraic theory added; v4: 78 pages, a direct construction is given |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP07(2023)160 |
| URL الوصول: | http://arxiv.org/abs/2207.03970 |
| رقم الأكسشن: | edsarx.2207.03970 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP07(2023)160 |
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