Bosonic Double Ring Lattice Under Artificial Gauge Fields
Abstract
We consider a system of weakly interacting bosons confined on a planar double ring lattice subjected to two artificial gauge fields. We determine its ground state by solving coupled discrete non-linear Schr\"odinger equations at mean field level. At varying inter-ring tunnel coupling, flux and interactions we identify the vortex, Meissner and biased-ladder phases also predicted for a bosonic linear ladder by a variational Ansatz. We also find peculiar features associated to the ring geometry, in particular parity effects in the number of vortices, and the appearance of a single vortex in the Meissner phase. We show that the persistent currents on the rings carry precise information on the various phases. Finally, we propose a way of observing the Meissner and vortex phases via spiral interferogram techniques.
Cite
@article{arxiv.1803.02718,
title = {Bosonic Double Ring Lattice Under Artificial Gauge Fields},
author = {Nicolas Victorin and Frank Hekking and Anna Minguzzi},
journal= {arXiv preprint arXiv:1803.02718},
year = {2018}
}