Realizing the Harper Hamiltonian with laser-assisted tunneling in optical lattices.

By H. Miyake, G. Siviloglou, C. Kennedy, W. Burton, W. Ketterle. Physical Review Letters, 2013

845 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/37a1f2461671986e0faa05f2e38079a032578489

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Citations in the corpus

Topological photonics (2018, methodology): “The idea was first introduced by Jaksch and Zoller (2003) and experimentally implemented by Aidelsburger et al. (2013) and Miyake et al. (2013) for ultracold gases.”
Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields (2014, methodology): “A similar scheme can be applied to cold atoms in optical lattices, where a uniform synthetic magnetic field would provide a platform to simulate the Hofstadter model [30,32,33,69,70].”
Realization of an anomalous Floquet topological system with ultracold atoms (2020, background): “[13] H.”
Topological Thouless pumping of ultracold fermions (2015, methodology): “[13] Miyake, H.”
Time- and Site-Resolved Dynamics in a Topological Circuit (2013, background): “In cold atomic gases, gauge ﬁelds are generated either through spatially dependent Raman-coupling of internal atomic states [13, 17], or time-and space-periodic modulation of lattice tunneling rates [18, 30, 31].”
Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms (2014, result): “In contrast to previous experimental methods [13, 18], the newly developed all-optical scheme to generate uniform artificial magnetic fields does not rely on additional magnetic field gradients, and therefore, it offers a much higher degree of experimental control.”
Quantum matter built from nanoscopic lattices of atoms and photons (2018, background): “…developed in cold atoms and trapped ions (Jaksch and Zoller, 2003; Bermudez, Schaetz, and Porras, 2011; Kolovsky, 2011; Aidelsburger et al., 2013; Miyake et al., 2013), here the interaction coefficients Jjl can also acquire a complex phase Jjl ¼ jJjljeiϕjl by properly arranging the propagation…”
Experimental realization of the topological Haldane model with ultracold fermions (2014, methodology): “This corresponds to a system consisting of coupled isotropic honeycomb layers with a nearest-neighbour tunnelling t/h 5 172(20) Hz, as used in previous work(27).”