We consider a two-component Bose–Bose mixture at infinitely strong repulsive interactions in a tightly confining, one-dimensional ring trap and subjected to an artificial gauge field. By employing the Bethe Ansatz exact solution for the many-body wavefunction, we obtain the ground state energy and the persistent currents up to four particles. For each value of the applied flux, we then determine the symmetry of the state under particles exchange. We find that the ground-state energy and the persistent currents display a reduced periodicity with respect to the case of non-interacting particles, corresponding to reaching states with fractional angular momentum per particle. We relate this effect to the change of symmetry of the ground state under the effect of the artificial gauge field. Our results generalize the ones previously reported for fermionic mixtures with both attractive and repulsive interactions and highlight the role of symmetry in this effect.
Nous considérons un mélange de bosons à deux composantes en interaction répulsive infiniment forte dans un piège en anneau unidimensionnel à fort confinement et soumis à un champ de jauge artificiel. En utilisant la forme exacte de la fonction d’onde à corps donnée par l’ansatz de Bethe, nous obtenons l’énergie de l’état fondamental et la valeur des courants persistants jusqu’à quatre particules. Ensuite, en fonction du flux appliqué, nous déterminons quelle est la symétrie de l’état sous l’échange de particules. Nous constatons que l’énergie de l’état fondamental et les courants persistants présentent une périodicité réduite par rapport au cas sans interaction, ce qui correspond à l’obtention d’états avec un moment cinétique fractionnaire par particule. Nous relions cet effet au changement de symétrie de l’état fondamental sous l’effet du champ de jauge artificiel. Nos résultats généralisent ceux précédemment rapportés pour les mélanges fermioniques avec des interactions attractives ou répulsives et mettent en évidence le rôle de la symétrie dans cet effet.
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Mot clés : Atomes froids, gaz quantiques, systèmes unidimensionnels, interactions fortes, champs de jauge artificiels, piège en anneau, solution exacte à $N$ corps
Giovanni Pecci 1; Gianni Aupetit-Diallo 2; Mathias Albert 2, 3; Patrizia Vignolo 2, 3; Anna Minguzzi 1
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@article{CRPHYS_2023__24_S3_87_0,
author = {Giovanni Pecci and Gianni Aupetit-Diallo and Mathias Albert and Patrizia Vignolo and Anna Minguzzi},
title = {Persistent currents in a strongly interacting multicomponent {Bose} gas on a ring},
journal = {Comptes Rendus. Physique},
pages = {87--99},
publisher = {Acad\'emie des sciences, Paris},
volume = {24},
number = {S3},
year = {2023},
doi = {10.5802/crphys.157},
language = {en},
}
TY - JOUR AU - Giovanni Pecci AU - Gianni Aupetit-Diallo AU - Mathias Albert AU - Patrizia Vignolo AU - Anna Minguzzi TI - Persistent currents in a strongly interacting multicomponent Bose gas on a ring JO - Comptes Rendus. Physique PY - 2023 SP - 87 EP - 99 VL - 24 IS - S3 PB - Académie des sciences, Paris DO - 10.5802/crphys.157 LA - en ID - CRPHYS_2023__24_S3_87_0 ER -
%0 Journal Article %A Giovanni Pecci %A Gianni Aupetit-Diallo %A Mathias Albert %A Patrizia Vignolo %A Anna Minguzzi %T Persistent currents in a strongly interacting multicomponent Bose gas on a ring %J Comptes Rendus. Physique %D 2023 %P 87-99 %V 24 %N S3 %I Académie des sciences, Paris %R 10.5802/crphys.157 %G en %F CRPHYS_2023__24_S3_87_0
Giovanni Pecci; Gianni Aupetit-Diallo; Mathias Albert; Patrizia Vignolo; Anna Minguzzi. Persistent currents in a strongly interacting multicomponent Bose gas on a ring. Comptes Rendus. Physique, Volume 24 (2023) no. S3, pp. 87-99. doi : 10.5802/crphys.157. https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.157/
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