Coherent Control Over the High-Dimensional Space of the Nuclear Spin of Alkaline-Earth Atoms

We demonstrate coherent manipulation of the nuclear degrees of freedom of ultracold ground-state strontium-87 atoms, thus providing a toolkit for fully exploiting the corresponding large Hilbert space as a quantum resource and for quantum simulation experiments with su(N)-symmetric matter. By contro...

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Main Authors: H. Ahmed, A. Litvinov, P. Guesdon, E. Maréchal, J.H. Huckans, B. Pasquiou, B. Laburthe-Tolra, M. Robert-de-Saint-Vincent
Format: Article
Language:English
Published: American Physical Society 2025-06-01
Series:PRX Quantum
Online Access:http://doi.org/10.1103/PRXQuantum.6.020352
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author H. Ahmed
A. Litvinov
P. Guesdon
E. Maréchal
J.H. Huckans
B. Pasquiou
B. Laburthe-Tolra
M. Robert-de-Saint-Vincent
author_facet H. Ahmed
A. Litvinov
P. Guesdon
E. Maréchal
J.H. Huckans
B. Pasquiou
B. Laburthe-Tolra
M. Robert-de-Saint-Vincent
author_sort H. Ahmed
collection DOAJ
description We demonstrate coherent manipulation of the nuclear degrees of freedom of ultracold ground-state strontium-87 atoms, thus providing a toolkit for fully exploiting the corresponding large Hilbert space as a quantum resource and for quantum simulation experiments with su(N)-symmetric matter. By controlling the resonance conditions of Raman transitions with a tensor light shift, we can perform rotations within a restricted Hilbert space of two isolated spin states among the 2F+1=10 possible states. These manipulations correspond to engineering unitary operations derived from generators of the su(N) algebra beyond what can be done by simple spin precession. We present Ramsey interferometers involving an isolated pair of Zeeman states with no measurable decoherence after 3 s. We also demonstrate that one can harness the large spin degrees of freedom as a qudit resource by implementing two interferometer schemes over four states. The first scheme senses in parallel multiple external fields acting on the atoms, and the second scheme simultaneously measures multiple observables of a collective atomic state—including noncommuting ones. Engineering unitary transformations of the large spin driven by other generators than the usual spin-F representation of the su(2) group offers new possibilities from the point of view of quantum metrology and quantum many-body physics, notably for the quantum simulation of large-spin su(N)-symmetric quantum magnetism with fermionic alkaline-earth atoms.
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spelling doaj-art-0b7c8f5bf8da460daf5d0b0fa04a2e502025-08-20T03:45:15ZengAmerican Physical SocietyPRX Quantum2691-33992025-06-016202035210.1103/PRXQuantum.6.020352Coherent Control Over the High-Dimensional Space of the Nuclear Spin of Alkaline-Earth AtomsH. AhmedA. LitvinovP. GuesdonE. MaréchalJ.H. HuckansB. PasquiouB. Laburthe-TolraM. Robert-de-Saint-VincentWe demonstrate coherent manipulation of the nuclear degrees of freedom of ultracold ground-state strontium-87 atoms, thus providing a toolkit for fully exploiting the corresponding large Hilbert space as a quantum resource and for quantum simulation experiments with su(N)-symmetric matter. By controlling the resonance conditions of Raman transitions with a tensor light shift, we can perform rotations within a restricted Hilbert space of two isolated spin states among the 2F+1=10 possible states. These manipulations correspond to engineering unitary operations derived from generators of the su(N) algebra beyond what can be done by simple spin precession. We present Ramsey interferometers involving an isolated pair of Zeeman states with no measurable decoherence after 3 s. We also demonstrate that one can harness the large spin degrees of freedom as a qudit resource by implementing two interferometer schemes over four states. The first scheme senses in parallel multiple external fields acting on the atoms, and the second scheme simultaneously measures multiple observables of a collective atomic state—including noncommuting ones. Engineering unitary transformations of the large spin driven by other generators than the usual spin-F representation of the su(2) group offers new possibilities from the point of view of quantum metrology and quantum many-body physics, notably for the quantum simulation of large-spin su(N)-symmetric quantum magnetism with fermionic alkaline-earth atoms.http://doi.org/10.1103/PRXQuantum.6.020352
spellingShingle H. Ahmed
A. Litvinov
P. Guesdon
E. Maréchal
J.H. Huckans
B. Pasquiou
B. Laburthe-Tolra
M. Robert-de-Saint-Vincent
Coherent Control Over the High-Dimensional Space of the Nuclear Spin of Alkaline-Earth Atoms
PRX Quantum
title Coherent Control Over the High-Dimensional Space of the Nuclear Spin of Alkaline-Earth Atoms
title_full Coherent Control Over the High-Dimensional Space of the Nuclear Spin of Alkaline-Earth Atoms
title_fullStr Coherent Control Over the High-Dimensional Space of the Nuclear Spin of Alkaline-Earth Atoms
title_full_unstemmed Coherent Control Over the High-Dimensional Space of the Nuclear Spin of Alkaline-Earth Atoms
title_short Coherent Control Over the High-Dimensional Space of the Nuclear Spin of Alkaline-Earth Atoms
title_sort coherent control over the high dimensional space of the nuclear spin of alkaline earth atoms
url http://doi.org/10.1103/PRXQuantum.6.020352
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