We discuss the main features of Hall tunneling of pancake vortices in super-clean high-T c superconductors. The general formalism for the calculation of the lifetime of a vortex pinned in a metastable configuration is described. The results are applied to the problem of quantum tunneling of a pancake vortex from a columnar defect in the limit of a small driving current. An external magnetic fie...

Large center vortices and confinement in 3D Z 2 gauge theory. Abstract We study the role of large clusters of center vortices in producing confinement in 3D Z2 gauge theory. First, we modify each configuration of a Monte Carlo-generated ensemble in the confined phase by removing the largest cluster of center vortices, and show that the ensemble thus obtained does not confine. Conversely, we sho...

In an optical trap, the ground state of spin-1 Bosons such as 23Na, 39K, and 87Rb can be either a ferromagnetic or a “polar” state, depending on the scattering lengths in different angular momentum channel. The collective modes of these states have very different spin character and spatial distributions. While ordinary vortices are stable in the polar state, only those with unit circulation are...

Laughlin’s Ansatz to explain the fractional Quantum Hall effect is derived by coupling a particle associated with “exotic” the two-fold central extension of the planar Galilei group. The reduced system is identical to the one used to describe the dynamics of vortices in an incompressible planar fluid.

This essay is a review of the topic of vortices in rapidly rotating BECs, where the system is in a quantum Hall-like regime and the density profile is of the Thomas-Fermi form. Also, in this paper, deviations from a triangular lattice is being considered while the system condensates into the lowest Landau levels.

A quantum field theory, consisting of the effective action of sound waves linearly coupled to a Chern-Simons term, is proposed to describe the dynamics of vortices in a superfluid film at the absolute zero of temperature. PACS: 03.70.+k, 47.32.Cc, 67.70.+n

We introduce quantum gauge fixing (QGF) as a new class of gauge fixings. While the maximal center gauge might not show vortex dominance, the confining properties of the vortices observed in past lattice calculations are argued to have been obtained in a gauge more akin to QGF than to the strict maximal center gauge.