Classification of Matrix Product States with a Local (Gauge) Symmetry
| Autor: | J. Ignacio Cirac, Ilya Kull, Erez Zohar, Andras Molnar |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
High Energy Physics - Theory
Quantum Physics 010308 nuclear & particles physics Computer science High Energy Physics - Lattice (hep-lat) General Physics and Astronomy FOS: Physical sciences Invariant (physics) 01 natural sciences Matrix multiplication Theoretical physics High Energy Physics - Lattice High Energy Physics - Theory (hep-th) Local symmetry 0103 physical sciences Homogeneous space Gauge theory Tensor 010306 general physics Quantum Physics (quant-ph) Quantum Gauge symmetry |
| Zdroj: | Annals of Physics |
| Popis: | Matrix Product States (MPS) are a particular type of one dimensional tensor network states, that have been applied to the study of numerous quantum many body problems. One of their key features is the possibility to describe and encode symmetries on the level of a single building block (tensor), and hence they provide a natural playground for the study of symmetric systems. In particular, recent works have proposed to use MPS (and higher dimensional tensor networks) for the study of systems with local symmetry that appear in the context of gauge theories. In this work we classify MPS which exhibit local invariance under arbitrary gauge groups. We study the respective tensors and their structure, revealing known constructions that follow known gauging procedures, as well as different, other types of possible gauge invariant states. |
| Databáze: | OpenAIRE |
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