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arXiv · 1803.02718

Bosonic Double Ring Lattice Under Artificial Gauge Fields

Nicolas Victorin·Frank Hekking·Anna Minguzzi
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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.

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Nicolas Victorin, Frank Hekking, Anna Minguzzi. 2018-03-07. Bosonic Double Ring Lattice Under Artificial Gauge Fields. https://doi.org/10.1103/physreva.98.053626

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