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The (2 + 1)-d U(1) quantum link model masquerading as deconfined criticality

2013/03/27 by D Banerjee, D. Banerjee, F. -J. Jiang +5 · 1 citation
Mathematics · Physics and Astronomy · #Boson #Criticality #Deconfinement #Dual (grammatical number) #Field (mathematics) #Link (geometry) #Quantum #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #Quantum phase transition #Quantum phases #Spectral Theory in Mathematical Physics #cond-mat.str-el #hep-lat #quant-ph

paper · pdf · doi:10.1088/1742-5468/2013/12/p12010

4.5 pages, 6 figures

arxiv created 2013/03/27 · openalex publication_date 2013/12/20 · arxiv updated 2015/06/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

The (2 + 1)-d U (1) quantum link model is a gauge theory, amenable to quantum simulation, with a spontaneously broken S O (2) symmetry emerging at a quantum phase transition. Its low-energy physics is described by a (2 + 1)-d R P (1) effective field theory, perturbed by an S O (2) breaking operator, which prevents the interpretation of the emergent pseudo-Goldstone boson as a dual photon. At the quantum phase transition, the model mimics some features of deconfined quantum criticality, but remains linearly confining. Deconfinement only sets in at high temperature.

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