Momentum-space Landau levels in arrays of coupled ring resonators

Year: 2016

Authors: Price HM., Berceanu AC., Andrei C., Ozawa T., Carusotto I.

Autors Affiliation: Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy;‎ Univ Trento, Dipartimento Fis, I-38123 Povo, Italy;‎ Univ Autonoma Madrid, Dept Fis Teor Mat Condensada, E-28049 Madrid, Spain;‎ Univ Autonoma Madrid, Condensed Matter Phys Ctr IFIMAC, E-28049 Madrid, Spain

Abstract: Artificial magnetic fields for photons can significantly enrich the physics of coupled ring resonator arrays. We push this further to discuss how, under the addition of a harmonic potential, the photonic eigenstates can be recognised as novel Landau levels in momentum space.(1) We present two realistic experimental proposals in which this physics could be realised. Firstly, we discuss how to extend the experiment of Hafezi et al.,(2) where the artificial magnetic field was created using link resonators in a 2D ring resonator array. Secondly, we expand on a proposal in which an effective 2D photonic lattice is realised in a 1D ring resonator chain by exploiting a synthetic dimension for photons.(3) We show that momentum-space Landau levels would have clear signatures in spectroscopic measurements in such experiments, and we discuss the insights gained in this way into geometrical energy bands and particles in magnetic fields.(4)

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KeyWords: coupled ring resonators; synthetic gauge fields; topological energy bands; Berry curvature; magnetic eigenstates; synthetic dimension