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Correlated Chern insulators in two-dimensional Raman lattices: A cold-atom regularization of strongly coupled four-Fermi field theories

L. Ziegler Orcid Logo, E. Tirrito, M. Lewenstein Orcid Logo, Simon Hands, A. Bermudez

Physical Review Research, Volume: 4, Issue: 4

Swansea University Author: Simon Hands

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DOI (Published version): 10.1103/physrevresearch.4.l042012

Abstract

We show that synthetic spin-orbit coupling for ultracold atoms in optical Raman potentials can be exploited to build versatile quantum simulators of correlated Chern insulators connected to strongly coupled four-Fermi field theories similar to the Gross-Neveu model in (2+1) dimensions. Exploiting th...

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Published in: Physical Review Research
ISSN: 2643-1564
Published: American Physical Society (APS) 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa61959
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spelling 2022-12-16T09:47:12.4071744 v2 61959 2022-11-21 Correlated Chern insulators in two-dimensional Raman lattices: A cold-atom regularization of strongly coupled four-Fermi field theories b34293f7370adc1d2cac9b93717a61c7 Simon Hands Simon Hands true false 2022-11-21 We show that synthetic spin-orbit coupling for ultracold atoms in optical Raman potentials can be exploited to build versatile quantum simulators of correlated Chern insulators connected to strongly coupled four-Fermi field theories similar to the Gross-Neveu model in (2+1) dimensions. Exploiting this multidisciplinary perspective, we identify a large-N quantum anomalous Hall (QAH) effect in absence of any external magnetic field, and use it to delimit regions in parameter space where these correlated topological phases appear, the boundaries of which are controlled by strongly coupled fixed points of these four-Fermi relativistic field theories. We further show how, for strong interactions, the QAH effect gives way to magnetic phases described by a two-dimensional quantum compass model in a transverse field. We present a detailed description of the phase diagram using the large- N effective potential, and variational techniques such as projected entangled pairs. Journal Article Physical Review Research 4 4 American Physical Society (APS) 2643-1564 20 10 2022 2022-10-20 10.1103/physrevresearch.4.l042012 COLLEGE NANME COLLEGE CODE Swansea University This project has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 665884, the Spanish Ministry MINECO (National Plan 15 Grant: FISICATEAMO No. FIS2016-79508-P, SEVERO OCHOA No. SEV-2015-0522, FPI), European Social Fund, Fundació Cellex, Generalitat de Catalunya (AGAUR Grant No. 2017 SGR 1341, CERCA/Program), ERC AdG NOQIA, EU FEDER, and the National Science Centre, Poland-Symfonia Grant No. 2016/20/W/ST4/00314. The work of S.J.H. was supported by STFC Grant No. ST/L000369/1. A.B. acknowledges support from the Ramón y Cajal program RYC-2016-20066, CAM/FEDER Project S2018/TCS4342 (QUITEMADCM), and PGC2018-099169-B-I00 (MCIU/AEI/FEDER, UE), from the Grant IFT Centro de Excelencia Severo Ochoa CEX2020-001007-S, funded by MCIN/AEI/10.13039/501100011033, and from the CSIC Research Platform on Quantum Technologies PTI-001. S.H. is supported by STFC Grant No. ST/T000813/1. A.B. acknowledges support from PID2021-127726NB-I00. 2022-12-16T09:47:12.4071744 2022-11-21T08:30:18.6006139 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics L. Ziegler 0000-0002-6695-6414 1 E. Tirrito 2 M. Lewenstein 0000-0002-0210-7800 3 Simon Hands 4 A. Bermudez 5 61959__25846__50f7074356d943638823b15f5d326875.pdf 61959.pdf 2022-11-21T08:37:45.3254258 Output 510440 application/pdf Version of Record true Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license true eng https://creativecommons.org/licenses/by/4.0/
title Correlated Chern insulators in two-dimensional Raman lattices: A cold-atom regularization of strongly coupled four-Fermi field theories
spellingShingle Correlated Chern insulators in two-dimensional Raman lattices: A cold-atom regularization of strongly coupled four-Fermi field theories
Simon Hands
title_short Correlated Chern insulators in two-dimensional Raman lattices: A cold-atom regularization of strongly coupled four-Fermi field theories
title_full Correlated Chern insulators in two-dimensional Raman lattices: A cold-atom regularization of strongly coupled four-Fermi field theories
title_fullStr Correlated Chern insulators in two-dimensional Raman lattices: A cold-atom regularization of strongly coupled four-Fermi field theories
title_full_unstemmed Correlated Chern insulators in two-dimensional Raman lattices: A cold-atom regularization of strongly coupled four-Fermi field theories
title_sort Correlated Chern insulators in two-dimensional Raman lattices: A cold-atom regularization of strongly coupled four-Fermi field theories
author_id_str_mv b34293f7370adc1d2cac9b93717a61c7
author_id_fullname_str_mv b34293f7370adc1d2cac9b93717a61c7_***_Simon Hands
author Simon Hands
author2 L. Ziegler
E. Tirrito
M. Lewenstein
Simon Hands
A. Bermudez
format Journal article
container_title Physical Review Research
container_volume 4
container_issue 4
publishDate 2022
institution Swansea University
issn 2643-1564
doi_str_mv 10.1103/physrevresearch.4.l042012
publisher American Physical Society (APS)
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
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description We show that synthetic spin-orbit coupling for ultracold atoms in optical Raman potentials can be exploited to build versatile quantum simulators of correlated Chern insulators connected to strongly coupled four-Fermi field theories similar to the Gross-Neveu model in (2+1) dimensions. Exploiting this multidisciplinary perspective, we identify a large-N quantum anomalous Hall (QAH) effect in absence of any external magnetic field, and use it to delimit regions in parameter space where these correlated topological phases appear, the boundaries of which are controlled by strongly coupled fixed points of these four-Fermi relativistic field theories. We further show how, for strong interactions, the QAH effect gives way to magnetic phases described by a two-dimensional quantum compass model in a transverse field. We present a detailed description of the phase diagram using the large- N effective potential, and variational techniques such as projected entangled pairs.
published_date 2022-10-20T02:34:37Z
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score 11.04748

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