Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
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Miyake-2013-Realizing the Harper.pdf
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Author(s)
Miyake, Hirokazu
Burton, William Cody
Ketterle, Wolfgang
Kennedy, Colin
Siviloglou, Georgios A.
Date Issued
October 2013
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Miyake, Hirokazu, Georgios A. Siviloglou, Colin J. Kennedy, William Cody Burton, and Wolfgang Ketterle. “Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices.” Physical Review Letters 111, no. 18 (October 2013). © 2013 American Physical Society
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Final published version
Abstract
We experimentally implement the Harper Hamiltonian for neutral particles in optical lattices using laser-assisted tunneling and a potential energy gradient provided by gravity or magnetic field gradients. This Hamiltonian describes the motion of charged particles in strong magnetic fields. Laser-assisted tunneling processes are characterized by studying the expansion of the atoms in the lattice. The band structure of this Hamiltonian should display Hofstadter’s butterfly. For fermions, this scheme should realize the quantum Hall effect and chiral edge states.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Research Laboratory of Electronics
MIT-Harvard Center for Ultracold Atoms
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.111.185302
