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Bridging fermionic and bosonic short range entangled states
- Source :
- New Journal of Physics, Vol 17, Iss 7, p 075010 (2015)
- Publication Year :
- 2015
- Publisher :
- IOP Publishing, 2015.
-
Abstract
- In this paper we construct bosonic short range entangled (SRE) states in all spatial dimensions by coupling a ${{\mathbb{Z}}}_{2}$ gauge field to fermionic SRE states with the same symmetries , and driving the ${{\mathbb{Z}}}_{2}$ gauge field to its confined phase. We demonstrate that this approach allows us to construct many examples of bosonic SRE states, and we demonstrate that the previous descriptions of bosonic SRE states such as the semiclassical nonlinear sigma model field theory and the Chern–Simons field theory can all be derived using the fermionic SRE states.
Details
- Language :
- English
- ISSN :
- 13672630
- Volume :
- 17
- Issue :
- 7
- Database :
- Directory of Open Access Journals
- Journal :
- New Journal of Physics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.90e2eadc5fe40b3987c8fecec32ac59
- Document Type :
- article
- Full Text :
- https://doi.org/10.1088/1367-2630/17/7/075010