Landau Levels in Strained Optical Lattices

Binbin Tian; Manuel Endres; David Pekker

doi:10.1103/physrevlett.115.236803

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arXiv · 1506.02290

Landau Levels in Strained Optical Lattices

Binbin Tian·Manuel Endres·David Pekker

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Abstract

We propose a hexagonal optical lattice system with spatial variations in the hopping matrix elements. Just like in the valley Hall effect in strained Graphene, for atoms near the Dirac points the variations in the hopping matrix elements can be described by a pseudo-magnetic field and result in the formation of Landau levels. We show that the pseudo-magnetic field leads to measurable experimental signatures in momentum resolved Bragg spectroscopy, Bloch oscillations, cyclotron motion, and quantization of in-situ densities. Our proposal can be realized by a slight modification of existing experiments. In contrast to previous methods, pseudo-magnetic fields are realized in a completely static system avoiding common heating effects and therefore opening the door to studying interaction effects in Landau levels with cold atoms.

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Binbin Tian, Manuel Endres, David Pekker. 2015-12-17. Landau Levels in Strained Optical Lattices. https://doi.org/10.1103/physrevlett.115.236803

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