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Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices

2013; American Physical Society; Volume: 111; Issue: 18 Linguagem: Inglês

10.1103/physrevlett.111.185302

1092-0145

Hirokazu Miyake, Georgios A. Siviloglou, Colin Kennedy, William Cody Burton, Wolfgang Ketterle,

Quantum Information and Cryptography

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.