Topologically protected strongly-correlated states of photons

Abstract

Hybrid photonic nanostructures allow the engineering of novel interesting states of light. One recent example is topological photonic crystals where a nontrivial Berry phase of the photonic band structure gives rise to topologically protected unidirectionally-propagating (chiral) edge states of photons. Here we demonstrate that by coupling an array of emitters to the chiral photonic edge state one can create strongly correlated states of photons in a highly controllable way. These are topologically protected and have a number of remarkable universal properties: The outcome of scattering does not depend on the positions of emitters and is given only by universal numbers, the zeroes of Laguerre polynomials; two-photon correlation functions manifest a well-pronounced even-odd effect with respect to the number of emitters, and the result of scattering is robust with respect to fluctuations in the emitters' transition frequencies.

23 pages, 4 figures

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Cited by in corpus (17)

• Topological Photonics
• Chiral Quantum Optics
• Microwave photonics with superconducting quantum circuits
• A topological quantum optics interface
• Two-Dimensionally Confined Topological Edge States in Photonic Crystals
• Atom-field dressed states in slow-light waveguide QED
• Single-photon scattering and bound states in an atom-waveguide system with two or multiple coupling points
• Strongly correlated photon transport in waveguide QED with weakly coupled emitters
• Topological metasurface: From passive toward active and beyond
• Strongly correlated states of light in chiral chains of three-level quantum emitters
• Transport and collective radiance in a basic quantum chiral optical model
• Nonperturbative Waveguide Quantum Electrodynamics
• Chiral quantum optics in the bulk of photonic quantum Hall systems
• Quantum theory of light scattering in a one-dimensional channel: Interaction effect on photon statistics and entanglement entropy
• Influence of Disorder on Electromagnetically Induced Transparency in Chiral Waveguide Quantum Electrodynamics
• Self-Ordering of Individual Photons in Waveguide QED and Rydberg-Atom Arrays
• Emission of nitrogen-vacancy centers in diamond shaped by topological photonic waveguide modes