Bridging fermionic and bosonic short range entangled states

Yi Zhuang You, Zhen Bi, Alex Rasmussen, Meng Cheng, Cenke Xu

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


In this paper we construct bosonic short range entangled (SRE) states in all spatial dimensions by coupling a ℤ2 gauge field to fermionic SRE stateswith the same symmetries, and driving the ℤ2 gauge field to its confined phase.Wedemonstrate 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.

Original languageEnglish (US)
Article number075010
JournalNew Journal of Physics
Issue number7
StatePublished - Jul 1 2015

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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