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arXiv · 1507.00030

Quantum Hall Physics with Cold Atoms in Cylindrical Optical Lattices

Mateusz Łącki·Hannes Pichler·Antoine Sterdyniak·Andreas Lyras·Vassilis E. Lembessis·Omar Al-Dossary·Jan Carl Budich·Peter Zoller
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Abstract

We propose and study various realizations of a Hofstadter-Hubbard model on a cylinder geometry with fermionic cold atoms in optical lattices. The cylindrical optical lattice is created by copropagating Laguerre-Gauss beams, i.e.~light beams carrying orbital angular momentum. By strong focusing of the light beams we create a real space optical lattice in the form of rings, which are offset in energy. A second set of Laguerre-Gauss beams then induces a Raman-hopping between these rings, imprinting phases corresponding to a synthetic magnetic field (artificial gauge field). In addition, by rotating the lattice potential, we achieve a slowly varying flux through the hole of the cylinder, which allows us to probe the Hall response of the system as a realization of Laughlin's thought experiment. We study how in the presence of interactions fractional quantum Hall physics could be observed in this setup.

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Mateusz Łącki, Hannes Pichler, Antoine Sterdyniak, Andreas Lyras, Vassilis E. Lembessis, Omar Al-Dossary, Jan Carl Budich, Peter Zoller. 2015-10-15. Quantum Hall Physics with Cold Atoms in Cylindrical Optical Lattices. https://doi.org/10.1103/physreva.93.013604

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