Beyond lowest order mean field theory for light interacting with atom arrays
arXiv:2105.06786 · doi:10.1103/PhysRevA.104.023702
Abstract
Results from higher order mean field calculations of light interacting with atom arrays are presented for calculations of one- and two-time expectation values. The atoms are approximated as two-levels and are fixed in space. Calculations were performed for mean field approximations that include the expectation value of one operator (mean field), two operators (mean field-2), and three operators (mean field-3). For the one-time expectation values, we examined three different situations to understand the convergence with increasing order of mean field and some limitations of higher order mean field approximations. As a representation of a two-time expectation value, we calculated the for a line of atoms illuminated by a perpendicular plane wave at several emission angles and two different intensities. For many cases, the mean field-2 will be sufficiently accurate to quantitatively predict the response of the atoms as measured by one-time expectation values. However, the mean field-3 approximation will often be needed for two-time expectation values.
References in corpus (58)
- Exponential improvement in photon storage fidelities using subradiance and "selective radiance" in atomic arrays
- Subradiance in a Large Cloud of Cold Atoms
- Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
- Cooperative resonances in light scattering from two-dimensional atomic arrays
- A subradiant optical mirror formed by a single structured atomic layer
- The cooperative Lamb shift in an atomic nanolayer
- Enhanced optical cross section via collective coupling of atomic dipoles in a 2D array
- Observation of suppression of light scattering induced by dipole-dipole interactions in a cold atomic ensemble
- Collective atomic scattering and motional effects in a dense coherent medium
- Controlled Dicke Subradiance from a Large Cloud of Two-Level Systems
- Theory of Subradiant States of a One-Dimensional Two-Level Atom Chain
- Dynamical evolution of correlated spontaneous emission of a single photon from a uniformly excited cloud of N atoms
- Shifts of a resonance line in a dense atomic sample
- 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
- Coherent scattering of near-resonant light by a Dense Microscopic Cold Atomic cloud
- Cooperative Lamb shift in a quantum emitter array
- Many-body Signatures of Collective Decay in Atomic Chains
- Critical open-system dynamics in a one-dimensional optical lattice clock
- Cooperative Spontaneous Emission as a Many Body Eigenvalue Problem
- Precision spectroscopy and density-dependent frequency shifts in ultracold Sr
- QuantumCumulants.jl: A Julia framework for generalized mean-field equations in open quantum systems
- Controlling dipole-dipole frequency shifts in a lattice-based optical atomic clock
- Superradiant and Lasing States in Driven-Dissipative Dicke Models
- Collective Dipole-Dipole Interactions in an Atomic Array
- Magnetic-field-driven localization of light in a cold-atom gas
- Light scattering from dense cold atomic media
- 'Free-Space' Photonic Quantum Link and Chiral Quantum Optics
- Collective shift in resonant light scattering by a one-dimensional atomic chain
- Modification of radiation pressure due to cooperative scattering of light
- Light propagation beyond the mean-field theory of standard optics
- Photon blockade with ground-state neutral atoms
- A superatom picture of collective nonclassical light emission and dipole blockade in atom arrays
- Radiative atom-atom interactions in optically dense media: Quantum corrections to the Lorentz-Lorenz formula
- Subradiance-protected excitation transport
- Spontaneous decay of an atom excited in a dense and disordered atomic ensemble: quantum microscopic approach
- Optical waveguiding by atomic entanglement in multilevel atom arrays
- Quantum and Nonlinear Effects in Light Transmitted through Planar Atomic Arrays
- Generalized mean-field approach to simulate large dissipative spin ensembles with long range interactions
- Cumulant expansion for the treatment of light-matter interactions in arbitrary material structures
- Nonequilibrium dynamics of spin-boson models from phase space methods
- Role of disorder in super- and subradiance of cold atomic clouds
- Exact electrodynamics versus standard optics for a slab of cold dense gas
- Coherent flash of light emitted by a cold atomic cloud
- Coherent Forward Broadening in Cold Atom Clouds
- Superradiance in Inverted Multi-level Atomic Clouds
- Spin squeezing and many-body dipolar dynamics in optical lattice clocks
- Coherence effects in scattering order expansion of light by atomic clouds
- Collective Excitation Dynamics of a Cold Atom Cloud
- Far-field resonance fluorescence from a dipole-interacting laser-driven cold atomic gas
- Optical response of atom chains beyond the limit of low light intensity: The validity of the linear classical oscillator model
- Superradiance in spin- particles: Effects of multiple levels
- Super- and subradiance of clock atoms in multimode optical waveguides
- Quenches near criticality of the quantum Ising chain---power and limitations of the discrete truncated Wigner approximation
- Superradiance as a Source of Collective Decoherence in Quantum Computers
- Photon scattering from a cold, Gaussian atom cloud
- Continuous narrowband lasing with coherently driven V-level atoms
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- Universality of Dicke superradiance in arrays of quantum emitters
- QuantumCumulants.jl: A Julia framework for generalized mean-field equations in open quantum systems
- Dicke superradiance in ordered lattices: dimensionality matters
- Characterizing superradiant dynamics in atomic arrays via a cumulant expansion approach
- Theoretical study of early time superradiance for atom clouds and arrays
- Dicke superradiance in ordered arrays of multilevel atoms
- Cooperative quantum-optical planar arrays of atoms
- Collective Radiative Interactions in the Discrete Truncated Wigner Approximation
- Dynamic population of multiexcitation subradiant states in incoherently excited atomic arrays
- Higher-order mean-field theory of chiral waveguide QED
- Quantum and classical correlations in open quantum-spin lattices via truncated-cumulant trajectories
- Dicke superradiance requires interactions beyond nearest-neighbors
- Determining the validity of cumulant expansions for central spin models
- Quantum Fluctuation Dynamics of Dispersive Superradiant Pulses in a Hybrid Light-Matter System
- User-friendly TWA for dissipative spin dynamics
- Intensity effects of light coupling to one- or two-atom arrays of infinite extent
- Superradiance of Strongly Interacting Dipolar Excitons in Moiré Quantum Materials
- Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
- Symmetry based efficient simulation of dissipative quantum many-body dynamics in subwavelength quantum emitter arrays
- Prethermalization of light and matter in cavity-coupled Rydberg arrays
- Fate of the Mollow triplet in strongly-coupled atomic arrays
- Light scattering properties beyond weak-field excitation in atomic ensembles
- Attaining near-ideal Dicke superradiance in expanded spatial domains
- Emergence of second-order coherence in superfluorescence
- A numerical study of the spatial coherence of light in collective spontaneous emission
- Classical versus quantum intensity-field correlations of scattered light from extended cold atomic clouds
- Laser driven superradiant ensembles of two-level atoms near Dicke's regime
- Phase-Space Methods for Many-Body Quantum Optics
- Quantum correlated steady states under competing collective and individual decay
- Theory of dynamical superradiance in organic materials
- Exact Many-body Quantum Dynamics in One-Dimensional Baths via Collective Spins
- Experimental observation of subabsorption