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ZN gauge theories coupled to topological fermions: QED2 with a quantum mechanical θ angle

G. Magnifico, D. Vodola, E. Ercolessi, Prem Kumar Orcid Logo, M. Müller, A. Bermudez

Physical Review B, Volume: 100, Issue: 11

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1103/PhysRevB.100.115152

Abstract

We present a detailed study of the topological Schwinger model, which describes (1+1) quantum electrodynamics of an Abelian U(1) gauge field coupled to a symmetry-protected topological matter sector, by means of a class of ℤ_N lattice gauge theories. Employing density-matrix renormalization group te...

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Published in: Physical Review B
ISSN: 2469-9950 2469-9969
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa52118
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first_indexed 2019-09-27T04:17:38Z
last_indexed 2019-10-08T20:22:31Z
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spelling 2019-10-08T16:04:57.9639924 v2 52118 2019-09-26 ZN gauge theories coupled to topological fermions: QED2 with a quantum mechanical θ angle 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2019-09-26 SPH We present a detailed study of the topological Schwinger model, which describes (1+1) quantum electrodynamics of an Abelian U(1) gauge field coupled to a symmetry-protected topological matter sector, by means of a class of ℤ_N lattice gauge theories. Employing density-matrix renormalization group techniques that exactly implement Gauss' law, we show that these models host a correlated topological phase for different values of N, where fermion correlations arise through inter-particle interactions mediated by the gauge field. Moreover, by a careful finite-size scaling, we show that this phase is stable in the large-N limit, and that the phase boundaries are in accordance to bosonization predictions of the U(1) topological Schwinger model. Our results demonstrate that ℤ_N finite-dimensional gauge groups offer a practical route for an efficient classical simulation of equilibrium properties of electromagnetism with topological fermions. Additionally, we describe a scheme for the quantum simulation of a topological Schwinger model exploiting spin-changing collisions in boson-fermion mixtures of ultra-cold atoms in optical lattices. Although technically challenging, this quantum simulation would provide an alternative to classical density-matrix renormalization group techniques, providing also an efficient route to explore real-time non-equilibrium phenomena. Journal Article Physical Review B 100 11 2469-9950 2469-9969 25 9 2019 2019-09-25 10.1103/PhysRevB.100.115152 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2019-10-08T16:04:57.9639924 2019-09-26T20:20:21.8342303 G. Magnifico 1 D. Vodola 2 E. Ercolessi 3 Prem Kumar 0000-0003-0867-4213 4 M. Müller 5 A. Bermudez 6
title ZN gauge theories coupled to topological fermions: QED2 with a quantum mechanical θ angle
spellingShingle ZN gauge theories coupled to topological fermions: QED2 with a quantum mechanical θ angle
Prem Kumar
title_short ZN gauge theories coupled to topological fermions: QED2 with a quantum mechanical θ angle
title_full ZN gauge theories coupled to topological fermions: QED2 with a quantum mechanical θ angle
title_fullStr ZN gauge theories coupled to topological fermions: QED2 with a quantum mechanical θ angle
title_full_unstemmed ZN gauge theories coupled to topological fermions: QED2 with a quantum mechanical θ angle
title_sort ZN gauge theories coupled to topological fermions: QED2 with a quantum mechanical θ angle
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 G. Magnifico
D. Vodola
E. Ercolessi
Prem Kumar
M. Müller
A. Bermudez
format Journal article
container_title Physical Review B
container_volume 100
container_issue 11
publishDate 2019
institution Swansea University
issn 2469-9950
2469-9969
doi_str_mv 10.1103/PhysRevB.100.115152
document_store_str 0
active_str 0
description We present a detailed study of the topological Schwinger model, which describes (1+1) quantum electrodynamics of an Abelian U(1) gauge field coupled to a symmetry-protected topological matter sector, by means of a class of ℤ_N lattice gauge theories. Employing density-matrix renormalization group techniques that exactly implement Gauss' law, we show that these models host a correlated topological phase for different values of N, where fermion correlations arise through inter-particle interactions mediated by the gauge field. Moreover, by a careful finite-size scaling, we show that this phase is stable in the large-N limit, and that the phase boundaries are in accordance to bosonization predictions of the U(1) topological Schwinger model. Our results demonstrate that ℤ_N finite-dimensional gauge groups offer a practical route for an efficient classical simulation of equilibrium properties of electromagnetism with topological fermions. Additionally, we describe a scheme for the quantum simulation of a topological Schwinger model exploiting spin-changing collisions in boson-fermion mixtures of ultra-cold atoms in optical lattices. Although technically challenging, this quantum simulation would provide an alternative to classical density-matrix renormalization group techniques, providing also an efficient route to explore real-time non-equilibrium phenomena.
published_date 2019-09-25T04:04:19Z
_version_ 1763753338380222464
score 11.037603

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