Rotating Bose-Einstein condensates: Closing the gap between exact and mean-field solutions

Abstract

When a Bose-Einstein condensed cloud of atoms is given some angular momentum, it forms vortices arranged in structures with a discrete rotational symmetry. For these vortex states, the Hilbert space of the exact solution separates into a "primary" space related to the mean-field Gross-Pitaevskii solution and a "complementary" space including the corrections beyond mean-field. Considering a weakly-interacting Bose-Einstein condensate of harmonically-trapped atoms, we demonstrate how this separation can be used to close the conceptual gap between exact solutions for systems with only a few atoms and the thermodynamic limit for which the mean-field is the correct leading-order approximation. Although we illustrate this approach for the case of weak interactions, it is expected to be more generally valid.

8 pages, 5 figures

References in corpus (6)

• Many-Body Physics with Ultracold Gases
• Quantum Hall physics in rotating Bose-Einstein condensates
• Rotating quantum liquids crystallize
• Exact vortex nucleation and cooperative vortex tunneling in dilute BECs
• Vortex localization in rotating clouds of bosons and fermions
• Symmetry-conserving vortex clusters in small rotating clouds of ultracold bosons

Cited by in corpus (11)

• Vortex nucleation through fragmentation in a stirred resonant Bose-Einstein condensate
• Fragmentation and correlations in a rotating Bose-Einstein condensate undergoing breakup
• Beyond mean-field dynamics of ultra-cold bosonic atoms in higher dimensions: facing the challenges with a multi-configurational approach
• Enhanced many-body effects in the excitation spectrum of a weakly-interacting rotating Bose-Einstein condensate
• Rotating Bose-Einstein condensates with a finite number of atoms confined in a ring potential: Spontaneous symmetry breaking, beyond the mean-field approximation
• Dynamics of Ultracold Bosons in Artificial Gauge Fields: Angular Momentum, Fragmentation, and the Variance of Entropy
• Condensates Breaking Up Under Rotation
• Rotation quenches in trapped bosonic systems
• Finite-size effects in the dynamics of few bosons in a ring potential
• Many-body effects in the excitations and dynamics of trapped Bose-Einstein condensates
• A two-state model for vortex nucleation in a rotating Bose-Einstein condensate