Momentum-space Landau levels in arrays of coupled ring resonators

Hannah M. Price, Andrei C. Berceanu, Tomoki Ozawa, Iacopo Carusotto

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


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

Original languageEnglish
Title of host publicationAdvances in Photonics of Quantum Computing, Memory, and Communication IX
EditorsPhilip R. Hemmer, Alan L. Migdall, Hwang Lee, Zameer U. Hasan
ISBN (Electronic)9781628419979
Publication statusPublished - 2016
EventAdvances in Photonics of Quantum Computing, Memory, and Communication IX - San Francisco, United States
Duration: 2016 Feb 162016 Feb 18

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


ConferenceAdvances in Photonics of Quantum Computing, Memory, and Communication IX
Country/TerritoryUnited States
CitySan Francisco


  • Berry curvature
  • coupled ring resonators
  • magnetic eigenstates
  • synthetic dimension
  • synthetic gauge elds
  • topological energy bands


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