Commensurability and hysteretic evolution of vortex configurations in rotating optical lattices

Vortex Lattices in Rotating Bose-Einstein Condensates

Bosons in Rotating Optical Lattices

Date The final copy of this thesis has been examined by the signatories, and we find that both the content and the form meet acceptable presentation standards of scholarly work in the above mentioned discipline. The fractional Quantum Hall effect (FQHE) has been predicted in a cloud of bosons rotating at a frequency equal to that of the confining harmonic potential. Achieving this regime experi...

Commensurability effects for fermionic atoms trapped in 1D optical lattices.

Fermionic atoms in two different hyperfine states confined in optical lattices show strong commensurability effects due to the interplay between the atomic density wave ordering and the lattice potential. We show that spatially separated regions of commensurable and incommensurable phases can coexist. The commensurability between the harmonic trap and the lattice sites can be used to control th...

Unusual states of vortex matter in mixtures of Bose-Einstein condensates on rotating optical lattices.

In a single-component superfluid under rotation a broken symmetry in the order parameter space results in a broken translational symmetry in real space: a vortex lattice. If translational symmetry is restored, the phase of the order parameter disorders and thus the broken symmetry in the order parameter space is also restored. We show that for Bose-Einstein condensate mixtures in optical lattic...

Single vortex in a 2D optical lattices

We consider a single vortex in a system of bosons trapped in socalled strictly 2D optical lattices. The system is treated in term of the Slave Boson representation for hard-core bosons which is valid in both dilute and dense limit. This model predicts almost the same result as the Gross-Pitaevskii approach using the same optical lattice model in the dilute limit PACS number(s): 03.75.Fi, 05.30J...