Ground-state phase diagram of quantum link electrodynamics in (2 + 1)-d

Year: 2022

Authors: Hashizume T., Halimeh J., Hauke P., Banerjee D.

Autors Affiliation: Univ Strathclyde, Dept Phys, Glasgow G4 ONG, Lanark, Scotland; Univ Strathclyde, SUPA, Glasgow G4 ONG, Lanark, Scotland; Univ Trento, INO CNR BEC Ctr, Via Sommar 14, I-38123 Trento, Italy; Univ Trento, Dept Phys, Via Sommar 14, I-38123 Trento, Italy; HBNI, Saha Inst Nucl Phys, 1 AF Bidhannagar, Kolkata 700064, India.

Abstract: The exploration of phase diagrams of strongly interacting gauge theories coupled to matter in lower dimensions promises the identification of exotic phases and possible new universality classes, and it facilitates a better understanding of salient phenomena in Nature, such as confinement or high-temperature superconductivity. The emerging new techniques of quantum synthetic matter experiments as well as efficient classical computational methods with matrix product states have been extremely successful in one spatial dimension, and are now motivating such studies in two spatial dimensions. In this work, we consider a U (1) quantum link lattice gauge theory where the gauge fields, represented by spin-1/2 operators are coupled to a single flavor of staggered fermions. Using matrix product states on infinite cylinders with increasing diameter, we conjecture its phase diagram in (2 + 1)-d. This model allows us to smoothly tune between the U (1) quantum link and the quantum dimer models by adjusting the strength of the fermion mass term, enabling us to connect to the well-studied phases of those models. Our study reveals a rich phase diagram with exotic phases and interesting phase transitions to a potential liquid-like phase. It thus furthers the collection of gauge theory models that may guide future quantum-simulation experiments.

Journal/Review: SCIPOST PHYSICS

Volume: 13 (2)      Pages from:   to:

More Information: This work is part of and supported by Provincia Autonoma di Trento, the ERC Starting Grant StrEnQTh (project ID 804305), the Google Research Scholar Award ProGauge, and Q@TN Quantum Science and Technology in Trento. T. H. was supported by AFOSR grant number FA9550-18-1-0064. T. H. would like to thank Ian McCulloch for useful discussions. The data for this manuscript is available in open access at Ref. [93].
KeyWords: Effective Field-theory; Lattice Gauge-theory; Simulations; Formulation; Physics; Models
DOI: 10.21468/SciPostPhys.13.2.017

ImpactFactor: 5.500
Citations: 4
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