Exact solutions for interacting boson systems under rotation

Abstract

We study a class of interacting, harmonically trapped boson systems at angular momentum L. The Hamiltonian leaves a L-dimensional subspace invariant, and this permits an explicit solution of several eigenstates and energies for a wide class of two-body interactions

8 pages, error corrected (concerns generalization of subspace structure)

References in corpus (5)

• Dynamics of a Vortex in a Trapped Bose-Einstein Condensate
• Weakly-interacting Bose-Einstein condensates under rotation
• Analytical results for a trapped, weakly-interacting Bose-Einstein condensate under rotation
• Partial dynamical symmetry in a fermion system
• F-spin as a Partial Symmetry

Cited by in corpus (9)

• Exact vortex nucleation and cooperative vortex tunneling in dilute BECs
• Generalized yrast states of a Bose condensate in harmonic trap for a universality class of repulsive interactions
• Condensates of p-wave pairs are exact solutions for rotating two-component Bose gases
• Universal solutions for interacting bosons in one-dimensional harmonic traps
• Rotational properties of two-component Bose gases in the lowest Landau level
• Condensed vortex ground states of rotating Bose-Einstein condensate in harmonic atomic trap
• Ground states of a system of interacting particles in a parabolic trap
• Perturbative spectrum of Trapped Weakly Interacting Bosons in Two Dimensions
• Analytical Results for Trapped Weakly Interacting Bosons in Two Dimensions