title: Landau Levels in Strained Optical Lattices.
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 pseudomagnetic field and result in the formation of Landau levels. We show that the pseudomagnetic 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, pseudomagnetic 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.
authors.affiliation: University of Pittsburgh, Pennsylvania 15260, USA.
authors.forename: Binbin
authors.initials: B
authors.lastname: Tian
authors.affiliation: Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.|Institute for Quantum Information and Matter, Department of Physics, California Institute of Technology, Pasadena, California 91125, USA.
authors.forename: Manuel
authors.initials: M
authors.lastname: Endres
authors.affiliation: University of Pittsburgh, Pennsylvania 15260, USA.
authors.forename: David
authors.initials: D
authors.lastname: Pekker