In this work, computational fluid dynamics was used to support safety analyses of rotors operating in ground effect. Initially, the research focused on evaluation and prediction outwash generated by a hovering micro-rotor, time-averaged outflow velocities were compared with experimental results. Then, using scaling factors, simulated flowfield for studies PAXman model forces personnel, Bangold ...

Vortex dynamics in a thin superfluid 4He film as well as in a type II superconductor is described by the classical counterpart of the model advocated by Peierls, and used for deriving the ground states of the Fractional Quantum Hall Effect. The model has non-commuting coordinates, and is obtained by reduction from a particle associated with the “exotic” extension of the planar Galilei group. 1 ...

We review the fermionic Chern-Simons field theory for the Fractional Quantum Hall Effect (FQHE). We show that in this field theoretic approach to the problem of interacting electrons moving in a plane in the presence of an external magnetic field, the FQHE states appear naturally as the semiclassical states of the theory. In this framework, the FQHE states are the unique ground states of a syst...

Imprint of topological degeneracy in quasi-one-dimensional fractional quantum Hall states Some of the most beautiful discoveries of the last couple of years were made in the field of topological phases of matter. The simpler, non-interacting phases are included in the periodic table of topological insulators, and are distinguished by the appearance of the edge states protected by the bulk gap a...

An effective wavefunction for the edge excitations in the Fractional quantum Hall effect can be found by dimensionally reducing the bulk wavefunction. Treated this way the Laughlin ν = 1/(2n+1) wavefunction yields a Luttinger model ground state. We identify the edge-electron field with a Luttinger hyper-fermion operator, and the edge electron itself with a non-backscattering Bogoliubov quasi-pa...

We analyze a recently proposed method to create fractional quantum Hall FQH states of atoms confined in optical lattices A. Sørensen et al., Phys. Rev. Lett. 94, 086803 2005 . Extending the previous work, we investigate conditions under which the FQH effect can be achieved for bosons on a lattice with an effective magnetic field and finite on-site interaction. Furthermore, we characterize the g...

Abstract. We consider a system of trapped spinless bosons interacting with a repulsive potential and subject to rotation. In the limit of rapid rotation and small scattering length, we rigorously show that the ground state energy converges to that of a simplified model Hamiltonian with contact interaction projected onto the Lowest Landau Level. This effective Hamiltonian models the bosonic anal...

Much of the present day qualitative phenomenology of the fractional quantum Hall effect can be understood by neglecting the interactions between composite fermions altogether. For example, the fractional quantum Hall effect at n5n/(2pn61) corresponds to filled composite-fermion Landau levels, and the compressible state at n51/2p to the Fermi sea of composite fermions. Away from these filling fa...

In this thesis, a novel approach is proposed to represent bulk wave functions of fractional quantum HALL states in terms of conformal field theory correlators. It starts from the LAUGHLIN states and their generalization following JAIN’s picture of composite fermions. These effective particles are naturally identified within the b/c-spin conformal field theories. The enigmatic phenomenon of frac...