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RESEARCH PRODUCT
Weakly Interacting Bose-Einstein Condensates under Rotation: Mean-Field versus Exact Solutions
Georgios KavoulakisB. MottelsonStephanie ReimannAndrew D. Jacksonsubject
Condensed Matter::Quantum GasesPhysicsCondensed Matter (cond-mat)Degenerate energy levelsFOS: Physical sciencesGeneral Physics and AstronomyCondensed MatterRotation530law.inventionConnection (mathematics)Mean field theorylawQuantum mechanicsThermodynamic limitBose–Einstein condensateSubspace topologydescription
We consider a weakly-interacting, harmonically-trapped Bose-Einstein condensed gas under rotation and investigate the connection between the energies obtained from mean-field calculations and from exact diagonalizations in a subspace of degenerate states. From the latter we derive an approximation scheme valid in the thermodynamic limit of many particles. Mean-field results are shown to emerge as the correct leading-order approximation to exact calculations in the same subspace.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-04-18 |