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Long-Range Ising Interactions Mediated by λϕ4 Fields: Probing the Renormalization of Sound in Crystals of Trapped Ions

G. Martín-Vázquez Orcid Logo, Gert Aarts Orcid Logo, M. Müller Orcid Logo, A. Bermudez

PRX Quantum, Volume: 3, Issue: 2

Swansea University Author: Gert Aarts Orcid Logo

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DOI (Published version): 10.1103/prxquantum.3.020352

Abstract

The generating functional of a self-interacting scalar quantum field theory (QFT), which contains all the relevant information about real-time dynamics and scattering experiments, can be mapped onto a collection of multipartite-entangled two-level sensors via an interferometric protocol that exploit...

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Published in: PRX Quantum
ISSN: 2691-3399
Published: American Physical Society (APS) 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa60260
first_indexed 2022-06-17T10:33:13Z
last_indexed 2023-01-13T19:20:15Z
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spelling 2022-11-07T10:48:26.8638015 v2 60260 2022-06-17 Long-Range Ising Interactions Mediated by λϕ4 Fields: Probing the Renormalization of Sound in Crystals of Trapped Ions 1ba0dad382dfe18348ec32fc65f3f3de 0000-0002-6038-3782 Gert Aarts Gert Aarts true false 2022-06-17 BGPS The generating functional of a self-interacting scalar quantum field theory (QFT), which contains all the relevant information about real-time dynamics and scattering experiments, can be mapped onto a collection of multipartite-entangled two-level sensors via an interferometric protocol that exploits a specific set of source functions. Although one typically focuses on impulsive δ-like sources, as these give direct access to n-point Feynman propagators, we show in this work that using always-on harmonic sources can simplify substantially the sensing protocol. In a specific regime, the effective real-time dynamics of the quantum sensors can be described by a quantum Ising model with long-range couplings, the range and strength of which contains all the relevant information about the renormalization of the QFT, which can now be extracted in the absence of multipartite entanglement. We present a detailed analysis of how this sensing protocol can be relevant to characterize the long-wavelength QFT that describes quantized sound waves of trapped-ion crystals in the vicinity of a structural phase transition, opening a new route to characterize the associated renormalization of sound. Journal Article PRX Quantum 3 2 American Physical Society (APS) 2691-3399 10 6 2022 2022-06-10 10.1103/prxquantum.3.020352 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University 2022-11-07T10:48:26.8638015 2022-06-17T11:22:46.0970930 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics G. Martín-Vázquez 0000-0001-7761-3962 1 Gert Aarts 0000-0002-6038-3782 2 M. Müller 0000-0002-2813-3097 3 A. Bermudez 4 60260__24328__e28f7be6a3ec469d973bf270d2b18f08.pdf PRXQuantum.3.020352.pdf 2022-06-17T11:29:34.9644105 Output 4816616 application/pdf Version of Record true Released under the terms of the Creative Commons Attribution 4.0 International license true eng https://creativecommons.org/licenses/by/4.0/
title Long-Range Ising Interactions Mediated by λϕ4 Fields: Probing the Renormalization of Sound in Crystals of Trapped Ions
spellingShingle Long-Range Ising Interactions Mediated by λϕ4 Fields: Probing the Renormalization of Sound in Crystals of Trapped Ions
Gert Aarts
title_short Long-Range Ising Interactions Mediated by λϕ4 Fields: Probing the Renormalization of Sound in Crystals of Trapped Ions
title_full Long-Range Ising Interactions Mediated by λϕ4 Fields: Probing the Renormalization of Sound in Crystals of Trapped Ions
title_fullStr Long-Range Ising Interactions Mediated by λϕ4 Fields: Probing the Renormalization of Sound in Crystals of Trapped Ions
title_full_unstemmed Long-Range Ising Interactions Mediated by λϕ4 Fields: Probing the Renormalization of Sound in Crystals of Trapped Ions
title_sort Long-Range Ising Interactions Mediated by λϕ4 Fields: Probing the Renormalization of Sound in Crystals of Trapped Ions
author_id_str_mv 1ba0dad382dfe18348ec32fc65f3f3de
author_id_fullname_str_mv 1ba0dad382dfe18348ec32fc65f3f3de_***_Gert Aarts
author Gert Aarts
author2 G. Martín-Vázquez
Gert Aarts
M. Müller
A. Bermudez
format Journal article
container_title PRX Quantum
container_volume 3
container_issue 2
publishDate 2022
institution Swansea University
issn 2691-3399
doi_str_mv 10.1103/prxquantum.3.020352
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 The generating functional of a self-interacting scalar quantum field theory (QFT), which contains all the relevant information about real-time dynamics and scattering experiments, can be mapped onto a collection of multipartite-entangled two-level sensors via an interferometric protocol that exploits a specific set of source functions. Although one typically focuses on impulsive δ-like sources, as these give direct access to n-point Feynman propagators, we show in this work that using always-on harmonic sources can simplify substantially the sensing protocol. In a specific regime, the effective real-time dynamics of the quantum sensors can be described by a quantum Ising model with long-range couplings, the range and strength of which contains all the relevant information about the renormalization of the QFT, which can now be extracted in the absence of multipartite entanglement. We present a detailed analysis of how this sensing protocol can be relevant to characterize the long-wavelength QFT that describes quantized sound waves of trapped-ion crystals in the vicinity of a structural phase transition, opening a new route to characterize the associated renormalization of sound.
published_date 2022-06-10T05:24:22Z
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