Naslov
The Harper-Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling

Autori
Dubček, Tena ; Lelas, Karlo ; Jukić, Dario ; Pezer, Robert ; Soljačić, Marin ; Buljan, Hrvoje

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
Workshop on Topological effects and synthetic gauge/magnetic fields for atoms and photons

Mjesto i datum
Zagreb, Hrvatska, 29.09.2015. - 01.10.2015

Vrsta sudjelovanja
Poster

Vrsta recenzije
Nije recenziran

Ključne riječi
photonic lattices, synthetic magnetic field, conical diffraction, Harper-Hofstadter Hamiltonian

Sažetak
We present a grating assisted tunneling scheme for tunable synthetic magnetic fields in photonic lattices [1]. Grating assisted tunneling is inspired with laser assisted tunneling in ultracold atomic systems theoretically proposed in Refs. [2, 3], subsequently developed to experimentally realize Harper-Hofstadter Hamiltonian [4, 5]. The synthetic fields emerge from the nontrivial phases of the resulting tunneling matrix elements. The scheme is straightforward to implement at optical frequencies in optically induced one- and two-dimensional dielectric photonic lattices. We propose implementation of the Harper-Hofstadter Hamiltonian in these photonic lattices [1]. 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. We compare the light propagation in the realistic (continous) systems with the evolution in discrete models representing the Harper-Hofstadter Hamiltonian, and obtain excellent agreement.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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