Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
Author(s)Miyake, Hirokazu; Burton, William Cody; Ketterle, Wolfgang; Kennedy, Colin; Siviloglou, Georgios A.
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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.
DepartmentMassachusetts Institute of Technology. Department of Physics; Massachusetts Institute of Technology. Research Laboratory of Electronics; MIT-Harvard Center for Ultracold Atoms
Physical Review Letters
American Physical Society
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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