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Title: The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling

Here we propose the realization of a grating assisted tunneling scheme for tunable synthetic magnetic fields in optically induced one- and two-dimensional dielectric photonic lattices. As a signature of the synthetic magnetic fields, we demonstrate conical diffraction patterns in particular realization of these lattices, which possess Dirac points in k-space. Lastly, we compare the light propagation in these realistic (continuous) systems with the evolution in discrete models representing the Harper-Hofstadter Hamiltonian, and obtain excellent agreement.
 [1] ;  [2] ;  [3] ;  [4] ;  [5] ;  [1]
  1. Univ. of Zagreb, Zagreb (Croatia). Dept. of Physics
  2. Univ. of Zagreb, Zagreb (Croatia). Faculty of Textile Technology
  3. Univ. of Zagreb, Zagreb (Croatia). Dept. of Physics; Max Planck Instit. for the Physics of Complex Systems, Dresden (Germany)
  4. Univ. of Zagreb, Sisak (Croatia). Faculty of Metallurgy
  5. Massachusetts Instit. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
Publication Date:
OSTI Identifier:
Grant/Contract Number:
SC0001299; FG02-09ER46577; 5/13; W911NF-13-D-0001
Accepted Manuscript
Journal Name:
New Journal of Physics
Additional Journal Information:
Journal Volume: 17; Journal Issue: 12; Journal ID: ISSN 1367-2630
IOP Publishing
Research Org:
Massachusetts Institute of Technology, Cambridge, MA (United States)
Sponsoring Org:
USDOE; UKF; US Army Research Office
Country of Publication:
United States
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY synthetic magnetic fields; photonic lattices; topological effects; conical diffraction; topological insulators; magnetic-field; neutral atoms; solitons