2001/02/28 by M. S. Hussein, O. K. Vorov, Oleg Vorov · 1 citation
Physics and Astronomy · #Advanced Frequency and Time Standards #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat #nucl-th #physics.atom-ph #quant-ph
paper · pdf · doi:10.1103/physreva.65.035603
published as Phys.Rev. A65 (2002) 035603 · 12 pages, 1 figure
arxiv created 2001/02/28 · openalex publication_date 2002/02/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
For a system of N bosons in a two-dimensional harmonic trap with frequency \ensuremathω, interacting via forces V\ensuremath≪\ensuremath\Elzxh\ensuremathω, we develop a method to find the ground states of rotating Bose condensate as a function of two quantum numbers, the total angular momentum and the angular momentum of internal excitations (generalized yrast states). The energies of these condensed vortex states are expressed through the single two-body matrix element of interaction, V. A broad universality class of predominantly repulsive interactions for which these results hold is described by a simple integral condition on V. It includes Gaussian, \ensuremathδ function, and log-Coulomb forces.