An annular quantum gas induced by dimensional reduction on a shell

Yanliang Guo (1, 2) , Emmanuel Mercado Gutierrez (3) , David Rey (1) , Thomas Badr (1) , Aurélien Perrin (1) , Laurent Longchambon (1) , Vanderlei Salvador Bagnato (3) , Hélène Perrin (1) , Romain Dubessy (1)

1 LPL - Laboratoire de Physique des Lasers
2 Institut für Experimentalphysik [Innsbruck]
3 IFSC-USP - Instituto de Física de São Carlos

We report the observation of dramatic consequences of dimensional reduction onto the motional state of a quantum gas restricted to a curved two-dimensional surface. We start from the ellipsoidal geometry of a dressed quadrupole trap and introduce a novel gravity compensation mechanism enabling to explore the full ellipsoid. The dimensional reduction manifests itself by the spontaneous emergence of an annular shape in the atomic distribution, due to the zero-point energy of the transverse confinement. The experimental results are compared with the solution of the three dimensional Gross-Pitaevskii equation and with a two-dimensional semi-analytical model. This work evidences how a hidden dimension can affect dramatically the embedded low dimensional system by inducing a change of topology.

Domaines: Gaz Quantiques [cond-mat.quant-gas]; Physique Quantique [quant-ph]

Yanliang Guo, Emmanuel Mercado Gutierrez, David Rey, Thomas Badr, Aurélien Perrin, et al.. An annular quantum gas induced by dimensional reduction on a shell. 2021. ⟨hal-03238032v1⟩