English

Bridging Fermionic and Bosonic Short Range Entangled States

Strongly Correlated Electrons 2015-07-15 v4

Abstract

In this paper we construct bosonic short range entangled (SRE) states in all spatial dimensions by coupling a Z2Z_2 gauge field to fermionic SRE states with the same symmetries, and driving the Z2Z_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.

Cite

@article{arxiv.1404.6256,
  title  = {Bridging Fermionic and Bosonic Short Range Entangled States},
  author = {Yi-Zhuang You and Zhen Bi and Alex Rasmussen and Meng Cheng and Cenke Xu},
  journal= {arXiv preprint arXiv:1404.6256},
  year   = {2015}
}

Comments

7 pages

R2 v1 2026-06-22T03:58:15.450Z