[Compression des observables de spin non linéaires par torsion à un axe en présence de décohérence : Une étude analytique]
Dans un ensemble d’atomes à deux niveaux descriptible par un spin collectif, on peut utiliser les états intriqués pour améliorer la sensibilité des mesures interférométriques. Bien que les états de spin non gaussiens puissent produire des améliorations quantiques plus importantes que les habituels état comprimés de spin, gaussiens, leur utilisation nécessite la mesure d’observables non linéaires en les trois composantes du spin collectif. Nous expliquons ici comment maximiser le gain quantique en utilisant des états non gaussiens surcomprimés produits par un hamiltonien non linéaire de torsion à un axe, et nous montrons que les techniques de mesure après intéraction, connues pour amplifier les signaux de sorties dans les protocoles quantiques de détermination de quantités physiques, sont efficaces pour mesurer les observables de spin non linéaires. En tenant compte des processus de décohérence pertinents pour les expériences de physique atomique, nous déterminons analytiquement le gain quantique optimal en fonction des paramètres de bruit pour un nombre d’atomes arbitraire.
In an ensemble of two-level atoms that can be described in terms of a collective spin, entangled states can be used to enhance the sensitivity of interferometric precision measurements. While non-Gaussian spin states can produce larger quantum enhancements than spin-squeezed Gaussian states, their use requires the measurement of observables that are nonlinear functions of the three components of the collective spin. In this paper we develop strategies that achieve the optimal quantum enhancements using non-Gaussian states produced by a nonlinear one-axis-twisting Hamiltonian, and show that measurement-after-interaction techniques, known to amplify the output signals in quantum parameter estimation protocols, are effective in measuring nonlinear spin observables. Including the presence of the relevant decoherence processes from atomic experiments, we determine analytically the quantum enhancement of non-Gaussian over-squeezed states as a function of the noise parameters for arbitrary atom numbers.
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Mot clés : compression de spin, état non gaussiens, lois d’échelle, métrologie quantique, décohérence
Youcef Baamara 1 ; Alice Sinatra 1 ; Manuel Gessner 2, 1
CC-BY 4.0
@article{CRPHYS_2022__23_G1_1_0,
author = {Youcef Baamara and Alice Sinatra and Manuel Gessner},
title = {Squeezing of nonlinear spin observables by one axis twisting in the presence of decoherence: {An} analytical study},
journal = {Comptes Rendus. Physique},
pages = {1--26},
publisher = {Acad\'emie des sciences, Paris},
volume = {23},
year = {2022},
doi = {10.5802/crphys.103},
language = {en},
}
TY - JOUR AU - Youcef Baamara AU - Alice Sinatra AU - Manuel Gessner TI - Squeezing of nonlinear spin observables by one axis twisting in the presence of decoherence: An analytical study JO - Comptes Rendus. Physique PY - 2022 SP - 1 EP - 26 VL - 23 PB - Académie des sciences, Paris DO - 10.5802/crphys.103 LA - en ID - CRPHYS_2022__23_G1_1_0 ER -
%0 Journal Article %A Youcef Baamara %A Alice Sinatra %A Manuel Gessner %T Squeezing of nonlinear spin observables by one axis twisting in the presence of decoherence: An analytical study %J Comptes Rendus. Physique %D 2022 %P 1-26 %V 23 %I Académie des sciences, Paris %R 10.5802/crphys.103 %G en %F CRPHYS_2022__23_G1_1_0
Youcef Baamara; Alice Sinatra; Manuel Gessner. Squeezing of nonlinear spin observables by one axis twisting in the presence of decoherence: An analytical study. Comptes Rendus. Physique, Volume 23 (2022), pp. 1-26. doi : 10.5802/crphys.103. https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.103/
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