Bridging Fermionic and Bosonic Short Range Entangled States
Yi-Zhuang You, Zhen Bi, Alex Rasmussen, Meng Cheng, Cenke Xu
TL;DR
This paper presents a method to construct bosonic short-range entangled states across all dimensions by coupling fermionic states to a $Z_2$ gauge field and then confining it, unifying previous theoretical descriptions.
Contribution
It introduces a novel approach to generate bosonic SRE states from fermionic states via $Z_2$ gauge coupling and confinement, connecting different theoretical frameworks.
Findings
Constructed bosonic SRE states in all dimensions.
Unified descriptions of bosonic SRE states from fermionic origins.
Demonstrated the approach's ability to reproduce known theories.
Abstract
In this paper we construct bosonic short range entangled (SRE) states in all spatial dimensions by coupling a gauge field to fermionic SRE states with the same symmetries, and driving the 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.
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