Haldane Quantum Hall Effect for Light in a Dynamically Modulated Array of Resonators

Abstract

Topological insulators have attracted abundant attention for a variety of reasons -- notably, the possibility for lossless energy transport through edge states `protected' against disorder. Topological effects like the Quantum Hall state can be induced through a gauge field, which is however hard to create in practice, especially for charge-neutral particles. One way to induce an effective gauge potential is through a dynamic, time-periodic modulation of the lattice confining such particles. In this way, the Haldane Quantum Hall effect was recently observed in a cold atom system. Here, we show how this same effect can be induced for light confined to a lattice of identical optical resonators, using an on-site modulation of the resonant frequencies. We further demonstrate the existence of one-directional edge states immune to back-scattering losses, and discuss the possibilities for a practical implementation, which would enable slow-light devices of unprecedented quality.

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• Topological Photonics
• Analogs of quantum Hall effect edge states in photonic crystals
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Time-reversal symmetry breaking in circuit-QED based photon lattices
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Ultra-low power generation of twin photons in a compact silicon ring resonator
• Optomechanical creation of magnetic fields for photons on a lattice
• Radiative coupling of quantum dots in photonic crystal structures

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• Topological phases in ring resonators: recent progress and future prospects
• Floquet topological system based on frequency-modulated classical coupled harmonic oscillators
• Quantum optical feedback control for creating strong correlations in many-body systems
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