Transport Studies of Lattice Bosons: Paradigms for Fluctuating Superconductivity

TL;DR

This paper investigates how a periodic potential affects lattice bosons, revealing phenomena like vortex behavior changes and Hall conductivity variations, with implications for understanding fluctuating superconductors and experimental tests using optical lattices.

Contribution

It presents new results on the effects of periodic potentials on lattice bosons, including vortex dynamics and Hall conductivity, relevant for superfluid and superconductor models.

Findings

Magnus field reversal at half filling

Effects of periodic potential on vortex dynamics

Hall conductivity variations in lattice bosons

Abstract

A strong periodic potential generally enhances the short wavelength fluctuations of a superfluid beyond the validity of standard continuum approaches. Here we report some recent results on hard core bosons on finite lattices. We find several interesting effects of the periodic potential on the ground state, vortex dynamics, and and Hall conductivity. For example, the Magnus field on a vortex abruptly reverses direction at half filling. A rotating Bose condensate on an optical lattice may allow an experimental test of our results. Insight may also be gained about strongly fluctuating superconductors modelled by charge 2e lattice bosons.