2026-06-27T16:21:24Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/440102023-08-25T15:20:26Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Schuch, Norbert
author
Poilblanc, Didier
author
Cirac, J.I.
author
Pérez García, David
2023-06-20T03:36:06Z
2023-06-20T03:36:06Z
2013
0031-9007
10.1103/PhysRevLett.111.090501
https://hdl.handle.net/20.500.14352/44010
http://link.aps.org/doi/10.1103/PhysRevLett.111.090501
http://www.aps.org/
We study the structure of topological phases and their boundaries in the projected entangled-pair states (PEPS) formalism. We show how topological order in a system can be identified from the structure of the PEPS transfer operator and subsequently use these findings to analyze the structure of the boundary Hamiltonian, acting on the bond variables, which reflects the entanglement properties of the system. We find that in a topological phase, the boundary Hamiltonian consists of two parts: A universal nonlocal part which encodes the nature of the topological phase and a nonuniversal part which is local and inherits the symmetries of the topological model, which helps to infer the structure of the boundary Hamiltonian and thus possibly of the physical edge modes.
eng
Topological order in the projected entangled-pair states formalism: transfer operator and boundary hamiltonians
journal article
URL
https://docta.ucm.es/bitstreams/ab165f55-fa7f-47e9-b093-3846efc0b622/download
File
MD5
7e0aa5205148d9b8dbbd37e0fd33f4bb
456606
application/pdf
Perez_García200.pdf