Green's function approach to interacting lattice polaritons and optical nonlinearities in subwavelength arrays of quantum emitters
arXiv:2406.10387 · doi:10.1103/PhysRevResearch.6.043264
Abstract
Sub-wavelength arrays of quantum emitters offer an efficient free-space approach to coherent light-matter interfacing, using ultracold atoms or two-dimensional solid-state quantum materials. The combination of collectively suppressed photon-losses and emerging optical nonlinearities due to strong photon-coupling to mesoscopic numbers of emitters holds promise for generating nonclassical light and engineering effective interactions between freely propagating photons. While most studies have thus far relied on numerical simulations, we describe here a diagrammatic Green's function approach that permits analytical investigations of nonlinear processes. We illustrate the method by deriving a simple expression for the scattering matrix that describes photon-photon interactions in an extended two-dimensional array of quantum emitters, and reproduces the results of numerical simulations of coherently driven arrays. The approach yields intuitive insights into the nonlinear response of the system and offers a promising framework for a systematic development of a theory for interacting photons and many-body effects on collective radiance in two-dimensional arrays of quantum emitters.
13 pages, 8 figures
References in corpus (53)
- Quantum fluids of light
- Circuit Quantum Electrodynamics
- Moiré excitons: from programmable quantum emitter arrays to spin-orbit coupled artificial lattices
- Exponential improvement in photon storage fidelities using subradiance and "selective radiance" in atomic arrays
- Giant Rydberg Excitons in Cuprous Oxide
- Cooperative resonances in light scattering from two-dimensional atomic arrays
- A subradiant optical mirror formed by a single structured atomic layer
- Persistent Quantum Beats and Long-Distance Entanglement from Waveguide-Mediated Interactions
- Enhanced optical cross section via collective coupling of atomic dipoles in a 2D array
- Strongly-correlated multi-particle transport in one-dimension through a quantum impurity: an outline of exact and complete solutions
- Nonlinear quantum optics mediated by Rydberg interactions
- Few-photon transport in low-dimensional systems: Interaction-induced radiation trapping
- Storing light with subradiant correlations in arrays of atoms
- Topological Quantum Optics in Two-Dimensional Atomic Arrays
- Subradiant Bell states in distant atomic arrays
- Coherent control of a symmetry-engineered multi-qubit dark state in waveguide quantum electrodynamics
- Dynamics of many-body photon bound states in chiral waveguide QED
- Optimization of photon storage fidelity in ordered atomic arrays
- Inelastic scattering of photon pairs in qubit arrays with subradiant states
- A subwavelength atomic array switched by a single Rydberg atom
- Giant optical nonlinearities from Rydberg-excitons in semiconductor microcavities
- Highly nonlinear dipolar exciton-polaritons in bilayer MoS
- Two-Dimensional Photonic Crystals for Engineering Atom-Light Interactions
- Photon blockade with ground-state neutral atoms
- A superatom picture of collective nonclassical light emission and dipole blockade in atom arrays
- Dicke superradiance in ordered lattices: dimensionality matters
- Quantum-Logic Gate between Two Optical Photons with an Average Efficiency above 40%
- Quantum nonlinear optics based on two-dimensional Rydberg atom arrays
- Correlated few-photon transport in one-dimensional waveguides: linear and nonlinear dispersions
- Arrays of strongly-coupled atoms in a one-dimensional waveguide
- Optical waveguiding by atomic entanglement in multilevel atom arrays
- Controlling interactions between quantum emitters using atom arrays
- Superradiance and subradiance in inverted atomic arrays
- Dicke superradiance in ordered arrays of multilevel atoms
- Quantum and Nonlinear Optics in Strongly Interacting Atomic Ensembles
- Nonlinear interactions of dipolar excitons and polaritons in MoS2 bilayers
- Controlled multi-photon subtraction with cascaded Rydberg superatoms as single-photon absorbers
- Optical Magnetism and Huygens' Surfaces in Arrays of Atoms Induced by Cooperative Responses
- The integration of photonic crystal waveguides with atom arrays in optical tweezers
- Quantum nonlinear metasurfaces from dual arrays of ultracold atoms
- Light-matter interaction at the transition between cavity and waveguide QED
- Cooperative optical wavefront engineering with atomic arrays
- Self-Ordering of Individual Photons in Waveguide QED and Rydberg-Atom Arrays
- Biexciton-mediated superradiant photon blockade
- Independent electrical control of two quantum dots coupled through a photonic-crystal waveguide
- State-Insensitive Trapping of Alkaline-Earth Atoms in a Nanofiber-Based Optical Dipole Trap
- Polariton dynamics in strongly interacting quantum many-body systems
- Dispersionless subradiant photon storage in one-dimensional emitter chains
- Optical magnetism and wavefront control by arrays of strontium atoms
- Linear optical elements based on cooperative subwavelength emitter arrays
- Strong photon interactions from weakly interacting particles
- Optical Properties of Concentric Nanorings of Quantum Emitters
- Spontaneous symmetry breaking in frustrated triangular atom arrays due to cooperative light scattering