Comptes Rendus
Article de recherche
A framework for continuous superradiant laser operation via sequential transport of atoms
[Un cadre pour le fonctionnement continu d’un laser superradiant par transport séquentiel d’atomes]
Comptes Rendus. Physique, Volume 27 (2026), pp. 191-216

Cet article fait partie du numéro thématique Quantum measurements coordonné par : David Clément et al..  

We perform a theoretical study of a continuous superradiant laser supporting its experimental realization at FEMTO-ST using two sequentially-emitting ensembles of 171Yb atoms coupled to the same Fabry–Perot cavity. Using an open quantum system approach, we identify for the simplest case the parameter space where the laser reaches tens of picowatts of power with a sub-millihertz linewidth. Studying the impact of inhomogeneous frequency broadening and variations in atom-cavity coupling on the superradiant emission, we find the laser properties robust with respect to such perturbations, also thanks to the occurrence of synchronization of the atomic dipoles. We then consider a two-site configuration, in which atoms in each site are equally coupled to the cavity and have equal detunings, with different values for the two ensembles. We find for balanced and imbalanced atom numbers that synchronization leads in a certain parameter space to a single narrow spectral line whose central frequency follows the weighted average frequency. This result indicates that sequential loading can enable continuous superradiant emission for metrological applications, provided that the relative frequencies of the two ensembles are controlled to the level required by the target stability.

Nous réalisons une étude théorique d’un laser superradiant continu en vue de son implantation expérimentale à FEMTO-ST utilisant deux ensembles d’atomes de 171Yb émettant séquentiellement dans une même cavité Fabry–Perot. En adoptant l’approche des systèmes quantiques ouverts, nous identifions dans le cas le plus simple l’espace des paramètres pour lequel le laser atteint des puissances de l’ordre de dizaines de picowatts avec une largeur de raie inférieure au millihertz. En étudiant l’impact de l’élargissement inhomogène de la fréquence et des variations du couplage atome-cavité sur l’émission superradiante, nous montrons que les propriétés du laser restent robustes face à de telles perturbations, notamment grâce à l’apparition d’une synchronisation des dipôles atomique. Nous considérons ensuite une configuration à deux sites, dans laquelle les atomes au sein de chaque site sont également couplés à la cavité et présentent le même désaccord en fréquence, avec des valeurs différentes pour les deux ensembles. Nous montrons pour des nombres d’atomes égaux et inégaux que la synchronisation peut conduire à une raie spectrale unique et étroite dont la fréquence centrale suit la moyenne pondérée des fréquences. Ce résultat indique que le chargement séquentiel peut permettre une émission superradiante continue pour des applications métrologiques, à condition que les fréquences relatives des deux ensembles soient contrôlées au niveau requis.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/crphys.277
Keywords: Superradiance, open quantum systems, time and frequency metrology
Mots-clés : Superradiance, systèmes quantiques ouverts, métrologie temps-fréquence
Note : Article soumis sur invitation

Jana El Badawi  1 , 2   ; Marion Delehaye  1   ; Bruno Bellomo  2

1 Université Marie et Louis Pasteur, SUPMICROTECH, CNRS, Institut FEMTO-ST (UMR 6174), F-25000 Besançon, France
2 Université Marie et Louis Pasteur, CNRS, Institut UTINAM (UMR 6213), Observatoire des Sciences de l’Univers THETA, 41 bis avenue de l’Observatoire, F-25010 Besançon, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
@article{CRPHYS_2026__27_G1_191_0,
     author = {Jana El Badawi and Marion Delehaye and Bruno Bellomo},
     title = {A framework for continuous superradiant laser operation via sequential transport of atoms},
     journal = {Comptes Rendus. Physique},
     pages = {191--216},
     year = {2026},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {27},
     doi = {10.5802/crphys.277},
     language = {en},
}
TY  - JOUR
AU  - Jana El Badawi
AU  - Marion Delehaye
AU  - Bruno Bellomo
TI  - A framework for continuous superradiant laser operation via sequential transport of atoms
JO  - Comptes Rendus. Physique
PY  - 2026
SP  - 191
EP  - 216
VL  - 27
PB  - Académie des sciences, Paris
DO  - 10.5802/crphys.277
LA  - en
ID  - CRPHYS_2026__27_G1_191_0
ER  - 
%0 Journal Article
%A Jana El Badawi
%A Marion Delehaye
%A Bruno Bellomo
%T A framework for continuous superradiant laser operation via sequential transport of atoms
%J Comptes Rendus. Physique
%D 2026
%P 191-216
%V 27
%I Académie des sciences, Paris
%R 10.5802/crphys.277
%G en
%F CRPHYS_2026__27_G1_191_0
Jana El Badawi; Marion Delehaye; Bruno Bellomo. A framework for continuous superradiant laser operation via sequential transport of atoms. Comptes Rendus. Physique, Volume 27 (2026), pp. 191-216. doi: 10.5802/crphys.277

[1] Marianna S. Safronova The Search for Variation of Fundamental Constants with Clocks, Ann. Phys. (Berlin), Volume 531 (2019) no. 5, 1800364 | DOI | Zbl

[2] Yoshiyuki Tanaka; Hidetoshi Katori Exploring potential applications of optical lattice clocks in a plate subduction zone, J. Geod., Volume 95 (2021), 93, 14 pages | DOI

[3] D. G. Matei; T. Legero; S. Häfner; C. Grebing; R. Weyrich; W. Zhang; L. Sonderhouse; J. M. Robinson; J. Ye; F. Riehle; U. Sterr 1.5 µm Lasers with Sub-10 mHz Linewidth, Phys. Rev. Lett., Volume 118 (2017), p. 263202 | DOI

[4] E. Oelker; R. B. Hutson; C. J. Kennedy; L. Sonderhouse; T. Bothwell; A. Goban; D. Kedar; C. Sanner; J. M. Robinson; G. E. Marti; D. G. Matei; T. Legero; M. Giunta; R. Holzwarth; F. Riehle; U. Sterr; J. Ye Demonstration of 4.8×10 -17 stability at 1 s for two independent optical clocks, Nat. Photonics, Volume 13 (2019) no. 10, pp. 714-719 | DOI

[5] Tobias Bothwell; Colin J. Kennedy; Alexander Aeppli; Dhruv Kedar; John M. Robinson; Eric Oelker; Alexander Staron; Jun Ye Resolving the gravitational redshift across a millimetre-scale atomic sample, Nature, Volume 602 (2022) no. 420, pp. 420-424 | DOI

[6] Alexander Aeppli; Kyungtae Kim; William Warfield; Marianna S. Safronova; Jun Ye Clock with 8×10 -19 Systematic Uncertainty, Phys. Rev. Lett., Volume 133 (2024), 023401, 7 pages | DOI

[7] H. N. Hausser; J. Keller; T. Nordmann; N. M. Bhatt; J. Kiethe; H. Liu; I. M. Richter; M. von Boehn; J. Rahm; S. Weyers; E. Benkler; B. Lipphardt; S. Dörscher; K. Stahl; J. Klose; C. Lisdat; M. Filzinger; N. Huntemann; E. Peik; T. E. Mehlstäubler 115 In + - 172 Yb + Coulomb Crystal Clock with 2.5×10 -18 Systematic Uncertainty, Phys. Rev. Lett., Volume 134 (2025), 023201, 6 pages | DOI

[8] S. Kolkowitz; I. Pikovski; N. Langellier; M. D. Lukin; R. L. Walsworth; J. Ye Gravitational wave detection with optical lattice atomic clocks, Phys. Rev. D, Volume 94 (2016), 124043, 15 pages | DOI

[9] Andrei Derevianko Atomic clocks and dark-matter signatures, J. Phys. Conf. Ser., Volume 723 (2016), 012043, 6 pages | DOI

[10] M. Filzinger; S. Dörscher; R. Lange; J. Klose; M. Steinel; E. Benkler; E. Peik; C. Lisdat; N. Huntemann Improved Limits on the Coupling of Ultralight Bosonic Dark Matter to Photons from Optical Atomic Clock Comparisons, Phys. Rev. Lett., Volume 130 (2023), 253001, 6 pages | DOI

[11] Michael J. Thorpe; Lars Rippe; Tara M. Fortier; Matthew S. Kirchner; Till Rosenband Frequency stabilization to 6×10 -16 via spectral-hole burning, Nat. Photonics, Volume 5 (2011) no. 11, pp. 688-693 | DOI

[12] Judith Olson; Richard W. Fox; Tara M. Fortier; Todd F. Sheerin; Roger C. Brown; Holly Leopardi; Richard E. Stoner; Chris W. Oates; Andrew D. Ludlow Ramsey-Bordé Matter-Wave Interferometry for Laser Frequency Stabilization at 10 -16 Frequency Instability and Below, Phys. Rev. Lett., Volume 123 (2019) no. 7, 073202, 6 pages | DOI

[13] D. Meiser; Jun Ye; D. R. Carlson; M. J. Holland Prospects for a Millihertz-Linewidth Laser, Phys. Rev. Lett., Volume 102 (2009), 163601, 4 pages | DOI

[14] R. H. Dicke The Effect of Collisions upon the Doppler Width of Spectral Lines, Phys. Rev., Volume 89 (1953), pp. 472-473 | DOI

[15] M. Gross; S. Haroche Superradiance: an essay on the theory of collective spontaneous emission, Phys. Rep., Volume 93 (1982) no. 5, pp. 301-391 | DOI

[16] Fritz Haake; Mikhail I. Kolobov; Claude Fabre; Elisabeth Giacobino; Serge Reynaud Superradiant laser, Phys. Rev. Lett., Volume 71 (1993) no. 995, pp. 995-998 | DOI

[17] Justin G. Bohnet; Zilong Chen; Joshua M. Weiner; Dominic Meiser; Murray J. Holland; James K. Thompson A steady-state superradiant laser with less than one intracavity photon, Nature, Volume 484 (2012) no. 7392, pp. 78-81 | DOI

[18] Matthew A. Norcia; James K. Thompson Cold-Strontium Laser in the Superradiant Crossover Regime, Phys. Rev. X, Volume 6 (2016) no. 1, 011025, 6 pages | DOI

[19] Matthew A. Norcia; Matthew N. Winchester; Julia R. K. Cline; James K. Thompson Superradiance on the millihertz linewidth strontium clock transition, Sci. Adv., Volume 2 (2016) no. 10, e1601231, 6 pages | DOI

[20] Matthew A. Norcia; Julia R. K. Cline; Juan A. Muniz; John M. Robinson; Ross B. Hutson; Akihisa Goban; G. Edward Marti; Jun Ye; James K. Thompson Frequency Measurements of Superradiance from the Strontium Clock Transition, Phys. Rev. X, Volume 8 (2018) no. 2, 021036, 12 pages | DOI

[21] Torben Laske; Hannes Winter; Andreas Hemmerich Pulse Delay Time Statistics in a Superradiant Laser with Calcium Atoms, Phys. Rev. Lett., Volume 123 (2019) no. 10, 103601, 5 pages | DOI

[22] Sofus Laguna Kristensen; Eliot Bohr; Julian Robinson-Tait; Tanya Zelevinsky; Jan W. Thomsen; Jörg Helge Müller Subnatural Linewidth Superradiant Lasing with Cold 88 Sr Atoms, Phys. Rev. Lett., Volume 130 (2023), 223402, 5 pages | DOI

[23] Eliot A. Bohr; Sofus L. Kristensen; Christoph Hotter; Stefan A. Schäffer; Julian Robinson-Tait; Jan W. Thomsen; Tanya Zelevinsky; Helmut Ritsch; Jörg H. Müller Collectively enhanced Ramsey readout by cavity sub- to superradiant transition, Nat. Commun., Volume 15 (2024) no. 1, 1084, 7 pages | DOI

[24] D. Meiser; M. J. Holland Steady-state superradiance with alkaline-earth-metal atoms, Phys. Rev. A, Volume 81 (2010), 033847, 4 pages | DOI

[25] G. A. Kazakov; T. Schumm Active optical frequency standard using sequential coupling of atomic ensembles, Phys. Rev. A, Volume 87 (2013), 013821, 8 pages | DOI

[26] Christoph Hotter; David Plankensteiner; Georgy Kazakov; Helmut Ritsch Continuous multi-step pumping of the optical clock transition in alkaline-earth atoms with minimal perturbation, Opt. Express, Volume 30 (2022) no. 4, pp. 5553-5568 | DOI

[27] Swadheen Dubey; Georgy A. Kazakov; Benedikt Heizenreder; Sheng Zhou; Shayne Bennetts; Stefan Alaric Schäffer; Ananya Sitaram; Florian Schreck Modeling of a continuous superradiant laser on the sub-mHz 1 S 0 3 P 0 transition in neutral strontium-88, Phys. Rev. Res., Volume 7 (2025), 013292, 20 pages | DOI

[28] Georgy A. Kazakov; Swadheen Dubey; Anna Bychek; Uwe Sterr; Marcin Bober; Michał Zawada Ultimate stability of active optical frequency standards, Phys. Rev. A, Volume 106 (2022), 053114, 12 pages | DOI

[29] Haonan Liu; Simon B. Jäger; Xianquan Yu; Steven Touzard; Athreya Shankar; Murray J. Holland; Travis L. Nicholson Rugged mHz-Linewidth Superradiant Laser Driven by a Hot Atomic Beam, Phys. Rev. Lett., Volume 125 (2020), 253602, 6 pages | DOI

[30] Mikkel Tang; Stefan A. Schäffer; Jörg H. Müller Prospects of a superradiant laser based on a thermal or guided beam of 88 Sr, Phys. Rev. A, Volume 106 (2022), 063704, 10 pages | DOI

[31] Bruno Laburthe-Tolra; Ziyad Amodjee; Benjamin Pasquiou; Martin Robert-de-Saint-Vincent Correlations and linewidth of the atomic beam continuous superradiant laser, SciPost Phys. Core, Volume 6 (2023), 015, 24 pages | DOI

[32] Seung-Hoon Oh; Jinuk Kim; Junseo Ha; Gibeom Son; Kyungwon An Thresholdless coherence in a superradiant laser, Light: Sci. Appl., Volume 13 (2024) no. 1, 239, 7 pages | DOI

[33] Anna Bychek; Christoph Hotter; David Plankensteiner; Helmut Ritsch Superradiant lasing in inhomogeneously broadened ensembles with spatially varying coupling, Open Res. Eur., Volume 1 (2021), 73, 22 pages | DOI

[34] Minghui Xu; D. A. Tieri; E. C. Fine; James K. Thompson; M. J. Holland Synchronization of Two Ensembles of Atoms, Phys. Rev. Lett., Volume 113 (2014), 154101, 5 pages | DOI

[35] Heinz-Peter Breuer; Francesco Petruccione The Theory of Open Quantum Systems, Oxford University Press, 2007 | DOI | MR

[36] A. Ángel Rivas; Douglas K. Plato; Susana F. Huelga; Martin B. Plenio Markovian master equations: a critical study, New J. Phys., Volume 12 (2010) no. 11, 113032, 38 pages | DOI

[37] Gian Luca Giorgi; Astghik Saharyan; Stéphane Guérin; Dominique Sugny; Bruno Bellomo Microscopic and phenomenological models of driven systems in structured reservoirs, Phys. Rev. A, Volume 101 (2020), 012122, 9 pages | DOI

[38] R. Bonifacio; P. Schwendimann; Fritz Haake Quantum Statistical Theory of Superradiance. I, Phys. Rev. A, Volume 4 (1971), pp. 302-313 | DOI

[39] Martin M. Boyd; Tanya Zelevinsky; Andrew D. Ludlow; Seth M. Foreman; Sebastian Blatt; Tetsuya Ido; Jun Ye Optical Atomic Coherence at the 1-Second Time Scale, Science, Volume 314 (2006) no. 5804, pp. 1430-1433 | DOI

[40] Ryogo Kubo Generalized Cumulant Expansion Method, J. Phys. Soc. Japan, Volume 17 (1962) no. 7, pp. 1100-1120 | DOI | MR

[41] Swadheen Dubey Quantitative modeling towards continuous superradiant laser on Sr, Ph. D. Thesis, Technische Universität Wien (Austria) (2025)

[42] R. R. Puri Mathematical Methods of Quantum Optics, Springer Series in Optical Sciences, 79, Springer, 2001 | DOI | Zbl | MR

[43] D. Meiser; M. J. Holland Intensity fluctuations in steady-state superradiance, Phys. Rev. A, Volume 81 (2010), 063827, 7 pages | DOI

[44] Junki Kim; Daeho Yang; Seung-hoon Oh; Kyungwon An Coherent single-atom superradiance, Science, Volume 359 (2018) no. 6376, pp. 662-666 | DOI | MR

[45] D. Tieri Open Quantum Systems with Applications to Precision Measurements, Ph. D. Thesis, University of Colorado Boulder (USA) (2015)

Cité par Sources :

Commentaires - Politique