Topological Effects in Two-Dimensional Quantum Emitter Systems

Abstract

In this work we discuss particular effects that take place in systems of quantum emitters coupled to two-dimensional bosonic topological insulators. For a single emitter coupled to the Haldane model, we find a "fragile" quasibound state that makes the emitter dynamics very sensitive to the model's parameters, and gives rise to effective long-range interactions that break time-reversal symmetry. We then discuss one-dimensional arrangements of emitters, emitter line defects, and how the topology of the bath affects the effective polariton models that appear in the weak-coupling regime when the emitters are spectrally tuned to a bandgap. In the Harper-Hofstadter model we link the non-monotonic character of the effective interactions to the Chern numbers of the surrounding energy bands, while in the Haldane model we show that the effective models are either gapless or not depending on the topology of the bath. Last, we discuss how the presence of emitters forming an ordered array, an emitter superlattice, can produce polariton models with non-trivial Chern numbers, and also modify the topology of the photonic states in the bath.

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• Quantum phase transitions of light
• Effective spin systems in coupled micro-cavities
• Qubit-photon bound states in topological waveguides with long-range hoppings
• Exotic interactions mediated by a non-Hermitian photonic bath
• Anomalous Behaviors of Quantum Emitters in Non-Hermitian Baths
• Spin many-body phases in standard and topological waveguide QED simulators
• Bound states and photon emission in non-Hermitian nanophotonics
• Fractal defect states in the Hofstadter butterfly

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• Strongly interacting photons in 2D waveguide QED
• Dipole-dipole interactions mediated by a photonic flat band
• Fermionic matter-wave quantum optics with cold-atom impurity models
• Light-Matter interactions in Hofstadter lattice with the next-nearest neighbor couplings
• Quantum Sensing with Topological-Paired Bound States
• Constructing qubit edge states by inverse-designing the electromagnetic environment
• Flat band mediated photon-photon interactions in 2D waveguide QED networks
• Topological quantum electrodynamics in synthetic non-Abelian gauge fields