# Beyond-mean-field effects in Rabi-coupled two-component Bose-Einstein condensate

1 Laboratoire Charles Fabry / Gaz Quantiques
LCF - Laboratoire Charles Fabry
Abstract : We theoretically calculate and experimentally measure the beyond-mean-field (BMF) equation of state in a coherently-coupled two-component Bose-Einstein condensate (BEC) in the regime where averaging of the interspecies and intraspecies coupling constants over the hyperfine composition of the single-particle dressed state predicts the exact cancellation of the two-body interaction. We show that with increasing the Rabi-coupling frequency $\Omega$, the BMF energy density crosses over from the nonanalytic Lee-Huang-Yang (LHY) scaling $\propto n^{5/2}$ to an expansion in integer powers of density, where, in addition to a two-body BMF term $\propto n^2 \sqrt{\Omega}$, there emerges a repulsive three-body contribution $\propto n^3/\sqrt{\Omega}$. We experimentally evidence this two contributions, thanks to their different scaling with $\Omega$, in the expansion of a Rabi-coupled two-component $^{39}$K condensate in a waveguide. By studying the expansion with and without Rabi coupling, we reveal an important feature relevant for observing BMF effects and associated phenomena in mixtures with spin-asymmetric losses: Rabi coupling helps preserve the spin composition and thus prevents the system from drifting away from the point of vanishing mean field.
Document type :
Preprints, Working Papers, ...
Domain :

https://hal.archives-ouvertes.fr/hal-03232484
Contributor : Thomas Bourdel Connect in order to contact the contributor
Submitted on : Monday, October 11, 2021 - 3:04:49 PM
Last modification on : Tuesday, November 16, 2021 - 3:56:53 AM

### Files

BMF_reresub_final.pdf
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### Identifiers

• HAL Id : hal-03232484, version 3
• ARXIV : 2105.11723

### Citation

L Lavoine, A Hammond, A Recati, D Petrov, T Bourdel. Beyond-mean-field effects in Rabi-coupled two-component Bose-Einstein condensate. 2021. ⟨hal-03232484v3⟩

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