Imaging the work, dissipation and topological protection in the quantum Hall state

Tuning the near-field using all-dielectric nano-antennae offers a promising approach for trapping atoms, which could enable strong single-atom/photon coupling. Here we report the simulation results of an optical trapping concept, in which a silicon nano-antenna produces a trapping potential for atoms in a chip-scale configuration. Using counter-propagating incident fields, bichromatically detuned from the atomic cesium Dlines, we numerically investigate the dependence of the optical potential on the nano-antenna geometry. We show that the near-field potential landscape can be tailored by tuning the evanescent field of the waveguide. Nanoscale imaging of equilibrium quantum Hall edge currents in graphene Aviram Uri, Youngwook Kim, Kousik Bagani, Cyprian K. Lewandowski, twist Grover, Nadav Auerbach, Ella O. Lachman, Yuri Myasoedov, Takashi Taniguchi, Kenji Watanabe, Jurgen Smet, and Eli Zeldov 1Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 7610001, Israel 2Max Planck Institute for Solid State Research, D-70569 Stuttgart, Germany 3Department of Emerging Materials Science, DGIST, Dalseong-Gun, Daegu, 42988 Korea 4Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA 5National Institute for Material Science, 1-1 Namiki, Tsukuba, 305-0044, Japan †Current address: Department of Physics, University of California, Berkeley, CA 94720, USA aviram.uri@weizmann.ac.il, 054-4757124