Collective Dipole-Dipole Interactions in an Atomic Array

Abstract

The coherent dipole-dipole interactions of atoms in an atomic array are studied. It is found that the excitation probability of an atom in an array parallel to the direction of laser propagation ($\hat{\mathbf{k}}$) will either grow or decay logarithmically along $\hat{\mathbf{k}}$, depending on the detuning of the laser. The symmetry of the system for atomic separations of $\delta r=j\lambda /2$, where $j$ is an integer, causes the excitation distribution and scattered radiation to abruptly become symmetric about the center of the array. For atomic separations of $\delta r<\lambda /2$, the appearance of a collection of extremely subradiant states ($\Gamma \sim 0$), disrupts the described trend. In order to interpret the results from a finite array of atoms, a band structure calculation in the $N\to \infty$ limit is conducted where the decay rates and the Collective Lamb Shifts of the eigenmodes along the Brillouin zone are shown. Finally, the band structure of an array strongly affects its scattered radiation, allowing one to manipulate the Collective Lamb Shift as well as the decay rate (from superradiant to subradiant) by changing the angle of the driving laser.

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Cited by in corpus (68)

• Exponential improvement in photon storage fidelities using subradiance and "selective radiance" in atomic arrays
• Cooperative resonances in light scattering from two-dimensional atomic arrays
• Theory of Subradiant States of a One-Dimensional Two-Level Atom Chain
• Subradiant Bell states in distant atomic arrays
• Many-body Signatures of Collective Decay in Atomic Chains
• Critical open-system dynamics in a one-dimensional optical lattice clock
• Optimization of photon storage fidelity in ordered atomic arrays
• Cooperative eigenmodes and scattering in 1D atomic arrays
• Atomic-waveguide quantum electrodynamics
• Collective shift in resonant light scattering by a one-dimensional atomic chain
• A superatom picture of collective nonclassical light emission and dipole blockade in atom arrays
• Subradiance-protected excitation transport
• Dicke superradiance in ordered lattices: dimensionality matters
• Quantum nonlinear optics based on two-dimensional Rydberg atom arrays
• Extremely subradiant states in a periodic one-dimensional atomic array
• Subradiant Dimer Excitations of Emitter Chains Coupled to a 1D Waveguide
• Arrays of strongly-coupled atoms in a one-dimensional waveguide
• Collectively enhanced chiral photon emission from an atomic array near a nanofiber
• Optical waveguiding by atomic entanglement in multilevel atom arrays
• Beyond lowest order mean field theory for light interacting with atom arrays
• Photon-photon interactions in Rydberg-atom arrays
• Strongly correlated states of light in chiral chains of three-level quantum emitters
• Subradiance-protected excitation spreading in the generation of collimated photon emission from an atomic array
• Exact electrodynamics versus standard optics for a slab of cold dense gas
• Phase-imprinted multiphoton subradiant states
• Superradiance in Inverted Multi-level Atomic Clouds
• Optical Magnetism and Huygens' Surfaces in Arrays of Atoms Induced by Cooperative Responses
• Light propagation in systems involving two-dimensional atomic lattices
• Quantum Antennas
• Trapped atoms and superradiance on an integrated nanophotonic microring circuit
• Dark states of multilevel fermionic atoms in doubly-filled optical lattices
• Efficient frequency-selective single-photon antennas based on a bio-inspired nano-scale atomic ring design with 9-fold symmetry
• Ultra-precise holographic optical tweezers array
• Nanoscale continuous quantum light sources based on driven dipole emitter arrays
• Optical response of atom chains beyond the limit of low light intensity: The validity of the linear classical oscillator model
• Subradiance dynamics in a singly-excited chiral-coupled atomic chain
• Directional superradiance in a driven ultracold atomic gas in free-space
• Fast and efficient preparation of 1D chains and dense cold atomic clouds
• Bistable optical transmission through arrays of atoms in free space
• Cooperative light scattering from helical-phase-imprinted atomic rings
• Subradiance of multilevel fermionic atoms in arrays with filling $n\ge 2$
• Stochastic electrodynamics simulations for collective atom response in optical cavities
• Selective transport of atomic excitations in a driven chiral-coupled atomic chain
• Degenerate Zeeman Ground States in the Single-Excitation Regime
• Multipath interference from large trapped ion chains
• Directional subradiance from helical-phase-imprinted multiphoton states
• Intensity effects of light coupling to one- or two-atom arrays of infinite extent
• Atomic spin-wave control and spin-dependent kicks with shaped subnanosecond pulses
• Parity-time symmetry and coherent perfect absorption in a cooperative atom response
• Optical interpretation of linear-optics superradiance and subradiance
• Solid-state platform for cooperative quantum dynamics driven by correlated emission
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Optical Properties of Concentric Nanorings of Quantum Emitters
• Spontaneous symmetry breaking in frustrated triangular atom arrays due to cooperative light scattering
• Photon scattering from a cold, Gaussian atom cloud
• Super- and Sub-radiance from Two-dimensional Resonant Dipole-dipole Interactions
• Modified dipole-dipole interactions in the presence of a nanophotonic waveguide
• Selective collective emission from a dense atomic ensemble coupled to a nanophotonic resonator
• Spatial averaging for light reflection and transmission through cold atom arrays
• Analogue quantum simulation of superradiance and subradiance in trapped-ions
• Nonradiant multiphoton states in quantum ring oligomers
• Emergence of an Epsilon-Near-Zero Medium from Microscopic Atomic Principles
• Light scattering properties beyond weak-field excitation in atomic ensembles
• Analytic solutions for the spatial character and coherence properties of light scattered from two dipole-coupled atoms
• Quantum Engineering of Superdark Excited States in Arrays of Atoms
• Controlling Excitation Localization in Waveguide QED Systems
• Interpretable machine-learning identification of the crossover from subradiance to superradiance in an atomic array
• Suppression of coherent light scattering in a three-dimensional atomic array