The TF Limit for Rapidly Rotating Bose Gases in Anharmonic Traps
Mathematical Physics
2008-06-19 v1 Other Condensed Matter
math.MP
Abstract
Starting from the full many body Hamiltonian we derive the leading order energy and density asymptotics for the ground state of a dilute, rotating Bose gas in an anharmonic trap in the ` Thomas Fermi' (TF) limit when the Gross-Pitaevskii coupling parameter and/or the rotation velocity tend to infinity. Although the many-body wave function is expected to have a complicated phase, the leading order contribution to the energy can be computed by minimizing a simple functional of the density alone.
Keywords
Cite
@article{arxiv.0705.1107,
title = {The TF Limit for Rapidly Rotating Bose Gases in Anharmonic Traps},
author = {J. -B. Bru and M. Correggi and P. Pickl and J. Yngvason},
journal= {arXiv preprint arXiv:0705.1107},
year = {2008}
}