0000000000539926

AUTHOR

J. Christensson

showing 2 related works from this author

Universality of Many-Body States in Rotating Bose and Fermi Systems

2008

We propose a universal transformation from a many-boson state to a corresponding many-fermion state in the lowest Landau level approximation of rotating many-body systems, inspired by the Laughlin wave function and by the Jain composite-fermion construction. We employ the exact-diagonalization technique for finding the many-body states. The overlap between the transformed boson ground state and the true fermion ground state is calculated in order to measure the quality of the transformation. For very small and high angular momenta, the overlap is typically above 90%. For intermediate angular momenta, mixing between states complicates the picture and leads to small ground-state overlaps at s…

PhysicsCondensed Matter::Quantum GasesCondensed Matter - Mesoscale and Nanoscale PhysicsFOS: Physical sciencesFermionAtomic and Molecular Physics and OpticsMany bodyUniversality (dynamical systems)Condensed Matter - Other Condensed MatterQuantum mechanicsMesoscale and Nanoscale Physics (cond-mat.mes-hall)Mathematics::Metric GeometryWave functionGround stateOther Condensed Matter (cond-mat.other)BosonFermi Gamma-ray Space Telescope
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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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