Topological quantum optics using atom-like emitter arrays coupled to photonic crystals

Abstract

We propose a nanophotonic platform for topological quantum optics. Our system is composed of a two-dimensional lattice of non-linear quantum emitters with optical transitions embedded in a photonic crystal slab. The emitters interact through the guided modes of the photonic crystal, and a uniform magnetic field gives rise to large topological band gaps and an almost completely flat topological band. Topological edge states arise on the boundaries of the system that are protected by the large gap against missing lattice sites and to the inhomogeneous broadening of emitters. These results pave the way for exploring topological many-body states in quantum optical systems.

arXiv comment5 pages, 5 figures + 8 pages, 6 figures SM; see also companion paper arXiv:1810.12815

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• Observation of miniaturized bound states in the continuum with ultra-high quality factors
• Hybrid topological photonic crystals
• Cooperative quantum phenomena in light-matter platforms
• Topological metasurface: From passive toward active and beyond
• Nonreciprocal single-photon band structure
• Subradiant emission from regular atomic arrays: universal scaling of decay rates from the generalized Bloch theorem
• Unconventional quantum sound-matter interactions in spin-optomechanical-crystal hybrid systems
• Dissipative Topological Phase Transition with Strong System-Environment Coupling
• Tunable pseudo-magnetic fields for polaritons in strained metasurfaces
• Quantum Hall phase emerging in an array of atoms interacting with photons
• A Topology-Controlled Photonic Cavity Based on the Near-Conservation of the Valley Degree of Freedom
• Theory of dipole radiation near a Dirac photonic crystal
• Chiral quantum optics in the bulk of photonic quantum Hall systems
• The integration of photonic crystal waveguides with atom arrays in optical tweezers
• Efficient frequency-selective single-photon antennas based on a bio-inspired nano-scale atomic ring design with 9-fold symmetry
• Optical response of atom chains beyond the limit of low light intensity: The validity of the linear classical oscillator model
• Waveguide quantum optomechanics: parity-time phase transitions in ultrastrong coupling regime
• Light-matter interactions near photonic Weyl points
• Tunable Topologically-protected Super- and Subradiant Boundary States in One-Dimensional Atomic Arrays
• Quantum Control in Open and Periodically Driven Systems
• Topological inverse band theory in waveguide quantum electrodynamics
• Optimized geometries for cooperative photon storage in an impurity coupled to a two-dimensional atomic array
• Strongly interacting photons in 2D waveguide QED
• Bound photonic pairs in 2D waveguide quantum electrodynamics
• Topological quantum optical states in quasiperiodic cold atomic chains
• Energy density as a probe of band representations in photonic crystals
• Linear optical elements based on cooperative subwavelength emitter arrays
• Topologically protected subradiant cavity polaritons through linewidth narrowing enabled by dissipationless edge states
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Collective optical properties of moiré excitons
• Two-dimensional chiral waveguide quantum electrodynamics: long range qubit correlations and flat-band dark polaritons
• Bulk-boundary correspondence in topological systems with the momentum dependent energy shift
• Topological transitions induced by cavity-mediated interactions in photonic valley-Hall metasurfaces
• Modelling spatio-temporal dynamics of chiral coupling of quantum emitters to light fields in nanophotonic structures
• Flat band mediated photon-photon interactions in 2D waveguide QED networks
• Topologically protected long-range coherent energy transfer
• Topologically protected strong coupling and entanglement between distant quantum emitters
• Bound states and decay dynamics in $N$-level Friedrichs model with factorizable interactions