15 March 2016 Momentum-space Landau levels in arrays of coupled ring resonators
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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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Hannah M. Price, Hannah M. Price, Andrei C. Berceanu, Andrei C. Berceanu, Tomoki Ozawa, Tomoki Ozawa, Iacopo Carusotto, Iacopo Carusotto, "Momentum-space Landau levels in arrays of coupled ring resonators", Proc. SPIE 9762, Advances in Photonics of Quantum Computing, Memory, and Communication IX, 97620W (15 March 2016); doi: 10.1117/12.2218615; https://doi.org/10.1117/12.2218615
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