0000000000746522

AUTHOR

Georgios Kavoulakis

showing 2 related works from this author

Weakly Interacting Bose-Einstein Condensates under Rotation: Mean-Field versus Exact Solutions

2000

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.

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 topology
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Vortices in rotating two-component boson and fermion traps

2010

Quantum liquids may carry angular momentum by the formation of vortex states. This is well known for Bose-Einstein condensates in rotating traps, and was even found to occur in quantum dots at strong magnetic fields. Here we consider a two-component quantum liquid, where coreless vortices and interlaced lattices of coreless vortices appear in a very similar way for fermions and bosons with repulsive two-body interactions. The ground states at given angular momentum, as well as the pair correlations for equal and different numbers of atoms in the two components, are studied. (C) 2009 Elsevier B.V. All rights reserved.

Condensed Matter::Quantum GasesPhysicsAngular momentumta214Condensed matter physicsta114ta221vorticesquantum dotsFermionCondensed Matter PhysicsAtomic and Molecular Physics and OpticsElectronic Optical and Magnetic Materialslaw.inventionVortexlawQuantum dotTotal angular momentum quantum numberQuantum mechanicsAngular momentum couplingBose–Einstein condensateta218BosonPHYSICA E: LOW: DIMENSIONAL SYSTEMS AND NANOSTRUCTURES
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