Bridging fermionic and bosonic short range entangled states

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

doi:10.1088/1367-2630/17/7/075010

Bridging fermionic and bosonic short range entangled states

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

Physics

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

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 language	English (US)
Article number	075010
Journal	New Journal of Physics
Volume	17
Issue number	7
DOIs	https://doi.org/10.1088/1367-2630/17/7/075010
State	Published - Jul 1 2015

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1088/1367-2630/17/7/075010

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title = "Bridging fermionic and bosonic short range entangled states",

abstract = "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.",

author = "You, {Yi Zhuang} and Zhen Bi and Alex Rasmussen and Meng Cheng and Cenke Xu",

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AU - You, Yi Zhuang

AU - Bi, Zhen

AU - Rasmussen, Alex

AU - Cheng, Meng

AU - Xu, Cenke

PY - 2015/7/1

Y1 - 2015/7/1

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AB - 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.

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JO - New Journal of Physics

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Bridging fermionic and bosonic short range entangled states

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