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Landau Levels in Strained Optical Lattices

Tian, Binbin and Endres, Manuel and Pekker, David (2015) Landau Levels in Strained Optical Lattices. Physical Review Letters, 115 (23). Art. No. 236803. ISSN 0031-9007. doi:10.1103/PhysRevLett.115.236803.

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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.

Item Type:Article
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URLURL TypeDescription Material
Endres, Manuel0000-0002-4461-224X
Additional Information:© 2015 American Physical Society. (Received 22 June 2015; published 1 December 2015) It is our pleasure to thank Chandra Varma for his suggestion to consider “strained graphene” optical lattices. We also thank Ulrich Schneider, Tracy Li, and Immanuel Bloch for useful discussions, especially in regards to experimental realizations. D. P. and B. T. acknowledge support from the Pittsburgh Quantum Institute and AFOSR FA9550-10-1-0524 and FA9550-12-1-0057, M. E. acknowledges support from the Harvard Quantum Optics Center and the Caltech Institute for Quantum Information and Matter.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Pittsburgh Quantum InstituteUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)FA9550-10-1-0524
Air Force Office of Scientific Research (AFOSR)FA9550-12-1-0057
Harvard Quantum Optics CenterUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Issue or Number:23
Classification Code:PACS numbers: 73.22.Pr, 37.10.Jk, 67.85.-d, 73.43.-f
Record Number:CaltechAUTHORS:20160104-160827699
Persistent URL:
Official Citation:Landau Levels in Strained Optical Lattices Binbin Tian, Manuel Endres, and David Pekker Phys. Rev. Lett. 115, 236803
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:63353
Deposited By: George Porter
Deposited On:05 Jan 2016 18:15
Last Modified:10 Nov 2021 23:15

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