Condensates of p-wave pairs are exact solutions for rotating two-component Bose gases

Abstract

We derive exact analytical results for the wave functions and energies of harmonically trapped two-component Bose-Einstein condensates with weakly repulsive interactions under rotation. The isospin symmetric wave functions are universal and do not depend on the matrix elements of the two-body interaction. The comparison with the results from numerical diagonalization shows that the ground state and low-lying excitations consists of condensates of p-wave pairs for repulsive contact interactions, Coulomb interactions, and the repulsive interactions between aligned dipoles.

4 pages, 1 figure; revised version explains exact solutions in terms of isospin symmetry and Hund's rule

References in corpus (1)

• Vortices in quantum droplets: Analogies between boson and fermion systems

Cited by in corpus (6)

• Quantum Hall Effect of Two-Component Bosons at Fractional and Integral Fillings
• Rotating Bose-Einstein condensates: Closing the gap between exact and mean-field solutions
• Rotational properties of two-component Bose gases in the lowest Landau level
• Composite fermion basis for two-component Bose gases
• Linear dependencies between Composite Fermion states
• A two-state model for vortex nucleation in a rotating Bose-Einstein condensate