Optical response of atom chains beyond the limit of low light intensity: The validity of the linear classical oscillator model

Abstract

Atoms subject to weak coherent incident light can be treated as coupled classical linear oscillators, supporting subradiant and superradiant collective excitation eigenmodes. We identify the limits of validity of this \emph{linear classical oscillator model} at increasing intensities of the drive by solving the quantum many-body master equation for coherent and incoherent scattering from a chain of trapped atoms. We show that deviations from the linear classical oscillator model depend sensitively on the resonance linewidths ${\upsilon }_{\alpha }$ of the collective eigenmodes excited by light, with the intensity at which substantial deviation occurs scaling as a powerlaw of ${\upsilon }_{\alpha }$. The linear classical oscillator model then becomes inaccurate at much lower intensities for subradiant collective excitations than superradiant ones, with an example system of seven atoms resulting in critical incident light intensities differing by a factor of 30 between the two cases. By individually exciting eigenmodes we find that this critical intensity has a ${\upsilon }_{\alpha }^{2.5}$ scaling for narrower resonances and more strongly interacting systems, while it approaches a ${\upsilon }_{\alpha }^3$ scaling for broader resonances and when the dipole-dipole interactions are reduced. The ${\upsilon }_{\alpha }^3$ scaling also corresponds to the semiclassical result whereby quantum fluctuations between the atoms have been neglected. We study both the case of perfectly mode-matched drives and the case of standing wave drives, with significant differences between the two cases appearing only at very subradiant modes and positions of Fano resonances.

arXiv comment13 pages, 6 figures

References in corpus (59)

• Exponential improvement in photon storage fidelities using subradiance and "selective radiance" in atomic arrays
• Subradiance in a Large Cloud of Cold Atoms
• Resonant Metalenses for Breaking the Diffraction Barrier
• Observation of suppression of light scattering induced by dipole-dipole interactions in a cold atomic ensemble
• Storing light with subradiant correlations in arrays of atoms
• Collective atomic scattering and motional effects in a dense coherent medium
• Theory of Subradiant States of a One-Dimensional Two-Level Atom Chain
• Shifts of a resonance line in a dense atomic sample
• Subradiant states of quantum bits coupled to a one-dimensional waveguide
• Subradiant Bell states in distant atomic arrays
• Quantum field theory of cooperative atom response: Low light intensity
• Controlled manipulation of light by cooperative response of atoms in an optical lattice
• Metamaterial transparency induced by cooperative electromagnetic interactions
• Topological properties of a dense atomic lattice gas
• Critical open-system dynamics in a one-dimensional optical lattice clock
• Cooperative Ordering in Lattices of Interacting Two-Level Dipoles
• Cooperative eigenmodes and scattering in 1D atomic arrays
• Absorption imaging of a quasi 2D gas: a multiple scattering analysis
• Many-body subradiant excitations in metamaterial arrays: Experiment and theory
• Optical resonance shifts in the fluorescence of thermal and cold atomic gases
• Photonic Band Structure of Two-dimensional Atomic Lattices
• Collective Dipole-Dipole Interactions in an Atomic Array
• Topological quantum optics using atom-like emitter arrays coupled to photonic crystals
• 'Free-Space' Photonic Quantum Link and Chiral Quantum Optics
• Near-resonance Light Scattering from a High-density, Ultracold Atomic ${}^{87}$Rb Gas
• Cavity antiresonance spectroscopy of dipole coupled subradiant arrays
• Subradiance-protected excitation transport
• Transmission of near-resonant light through a dense slab of cold atoms
• Cooperative Emission of a Coherent Superflash of Light
• Spontaneous decay of an atom excited in a dense and disordered atomic ensemble: quantum microscopic approach
• Extraordinary subradiance with lossless excitation transfer in dipole-coupled nano-rings of quantum emitters
• Subradiant Dimer Excitations of Emitter Chains Coupled to a 1D Waveguide
• Subradiance and entanglement in atoms with several independent decay channels
• Anisotropy in scattering of light from an atom into the guided modes of a nanofiber
• Stochastic methods for light propagation and recurrent scattering in saturated and nonsaturated atomic ensembles
• Arrays of strongly-coupled atoms in a one-dimensional waveguide
• Collectively enhanced chiral photon emission from an atomic array near a nanofiber
• Polaritonic modes in a dense cloud of atoms
• Theoretical formalism for collective electromagnetic response of discrete metamaterial systems
• Cooperative emission of a pulse train in an optically thick scattering medium
• Optimized geometries for future generation optical lattice clocks
• Generalized mean-field approach to simulate large dissipative spin ensembles with long range interactions
• Coherent and Incoherent Multiple Scattering
• Subradiance-protected excitation spreading in the generation of collimated photon emission from an atomic array
• Phase-imprinted multiphoton subradiant states
• Phases of driven two-level systems with nonlocal dissipation
• Directional Dicke Subradiance with Nonclassical and Classical Light Sources
• Spin squeezing and many-body dipolar dynamics in optical lattice clocks
• Light propagation in systems involving two-dimensional atomic lattices
• Robustness of Dicke subradiance against thermal decoherence
• Far-field resonance fluorescence from a dipole-interacting laser-driven cold atomic gas
• Coherent Oscillations of Driven rf SQUID Metamaterials
• Coherent light propagation through cold atomic clouds beyond the independent scattering approximation
• Nonlinear quantum transport of light in a cold atomic cloud
• Strong radiative interactions and subradiance in disordered metamaterials
• Stochastic electrodynamics simulations for collective atom response in optical cavities
• Collective suppression of optical hyperfine pumping in dense clouds of atoms in microtraps
• Degenerate Zeeman Ground States in the Single-Excitation Regime
• Selective transport of atomic excitations in a driven chiral-coupled atomic chain

Cited by in corpus (23)

• 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
• Beyond lowest order mean field theory for light interacting with atom arrays
• Quantum single-photon control, storage, and entanglement generation with planar atomic arrays
• Subradiance with saturated atoms: population enhancement of the long-lived states
• Cooperative quantum-optical planar arrays of atoms
• Signatures of optical phase transitions in super- and subradiant arrays of atoms
• Nanoscale continuous quantum light sources based on driven dipole emitter arrays
• Many-body enhancement in a spin-chain quantum heat engine
• Higher-order mean-field theory of chiral waveguide QED
• Bistable optical transmission through arrays of atoms in free space
• Generating long-lived entangled states with free-space collective spontaneous emission
• Waveguide bandgap N-qubit array with a tunable transparency resonance
• Unidirectional absorption, storage, and emission of single photons in a collectively responding bilayer atomic array
• Intensity effects of light coupling to one- or two-atom arrays of infinite extent
• Free-Fermion Multiply Excited Eigenstates and Their Experimental Signatures in 1D Arrays of Two-Level Atoms
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Spontaneous symmetry breaking in frustrated triangular atom arrays due to cooperative light scattering
• Super- and subradiance in dilute disordered cold atomic samples: observations and interpretations
• Fate of the Mollow triplet in strongly-coupled atomic arrays
• Light scattering properties beyond weak-field excitation in atomic ensembles
• Spatial averaging for light reflection and transmission through cold atom arrays
• Cooperative Cooling in a 1D Chain of Optically Bound Cold Atoms