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

Journal Article · · New Journal of Physics
 [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
+ Show Author Affiliations

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.

Research Organization:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); UKF; US Army Research Office
Grant/Contract Number:
SC0001299; FG02-09ER46577; 5/13; W911NF-13-D-0001
OSTI ID:
1315269
Journal Information:
New Journal of Physics, Vol. 17, Issue 12; ISSN 1367-2630
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

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Cited By (6)

PT symmetry in a fractional Schrödinger equation: PT symmetry in a fractional Schrödinger equation journal April 2016
Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice journal September 2016
Topological photonics journal March 2019
Constant intensity conical diffraction in discrete one-dimensional lattices with charge-conjugation symmetry journal December 2019
Photonic topological phase transition on demand journal April 2019
Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice text January 2016

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
synthetic magnetic fields
photonic lattices
topological effects
conical diffraction
topological insulators
magnetic-field
neutral atoms
solitons