Absorption imaging of a quasi 2D gas: a multiple scattering analysis

Abstract

Absorption imaging with quasi-resonant laser light is a commonly used technique to probe ultra-cold atomic gases in various geometries. Here we investigate some non-trivial aspects of this method when it is applied to in situ diagnosis of a quasi two-dimensional gas. Using Monte Carlo simulations we study the modification of the absorption cross-section of a photon when it undergoes multiple scattering in the gas. We determine the variations of the optical density with various parameters, such as the detuning of the light from the atomic resonance and the thickness of the gas. We compare our results to the known three-dimensional result (Beer-Lambert law) and outline the specific features of the two-dimensional case.

22 pages, 5 figures

References in corpus (24)

• Many-Body Physics with Ultracold Gases
• Theory of Bose-Einstein condensation in trapped gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Theory of ultracold Fermi gases
• Observation of scale invariance and universality in two-dimensional Bose gases
• Coherent Backscattering of Light by Cold Atoms
• Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
• Strong saturation absorption imaging of dense clouds of ultracold atoms
• Exploring the thermodynamics of a two-dimensional Bose gas
• Dynamical evolution of correlated spontaneous emission of a single photon from a uniformly excited cloud of N atoms
• Photon localization and Dicke superradiance in atomic gases
• Spectra of Euclidean Random Matrices
• Quantum field theory of cooperative atom response: Low light intensity
• Probing Anderson localization of light via decay rate statistics
• Multiple scattering of light by atoms in the weak localization regime
• The equilibrium state of a trapped two-dimensional Bose gas
• Non-Hermitian Euclidean random matrix theory
• Eigenvalue distributions of large Euclidean random matrices for waves in random media
• Light scattering and localization in an ultracold and dense atomic system
• Fano-Hopfield model and photonic band gaps for an arbitrary atomic lattice
• Spectrum of Light in a Quantum Fluctuating Periodic Structure
• Euclidean matrix theory of random lasing in a cloud of cold atoms
• Coherent propagation of waves in random media with weak nonlinearity
• Superradiance and multiple scattering of photons in atomic gases

Cited by in corpus (62)

• A subradiant optical mirror formed by a single structured atomic layer
• Emergence of coherence in a uniform quasi-two-dimensional Bose gas
• Enhanced optical cross section via collective coupling of atomic dipoles in a 2D array
• Quench-induced supercurrents in an annular Bose gas
• Observation of suppression of light scattering induced by dipole-dipole interactions in a cold atomic ensemble
• Superradiance in a Large and Dilute Cloud of Cold Atoms in the Linear-Optics Regime
• Collective atomic scattering and motional effects in a dense coherent medium
• Shifts of a resonance line in a dense atomic sample
• 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
• Light interacting with atomic ensembles: collective, cooperative and mesoscopic effects
• Thermodynamics of an attractive 2D Fermi gas
• Cooperative Ordering in Lattices of Interacting Two-Level Dipoles
• Cooperative eigenmodes and scattering in 1D atomic arrays
• Optical resonance shifts in the fluorescence of thermal and cold atomic gases
• Collective resonance fluorescence in small and dense atom clouds: Comparison between theory and experiment
• Light scattering from dense cold atomic media
• Light propagation beyond the mean-field theory of standard optics
• Coherent Scattering of Near-Resonant Light by a Dense, Microscopic Cloud of Cold Two-Level Atoms: Experiment versus Theory
• Transmission of near-resonant light through a dense slab of cold atoms
• Spontaneous decay of an atom excited in a dense and disordered atomic ensemble: quantum microscopic approach
• Stochastic methods for light propagation and recurrent scattering in saturated and nonsaturated atomic ensembles
• Polaritonic modes in a dense cloud of atoms
• Emergence of correlated optics in one-dimensional waveguides for classical and quantum atomic gases
• Calibrating High Intensity Absorption Imaging of Ultracold Atoms
• Exact electrodynamics versus standard optics for a slab of cold dense gas
• Fit-free determination of scale invariant equations of state: application to the 2D Bose gas across the Berezinksii-Kosterlitz-Thouless transition
• Maximum refractive index of an atomic medium
• Cooperative quantum-optical planar arrays of atoms
• Optical Magnetism and Huygens' Surfaces in Arrays of Atoms Induced by Cooperative Responses
• Signatures of optical phase transitions in super- and subradiant arrays of atoms
• Light propagation in systems involving two-dimensional atomic lattices
• Population of collective modes in light scattering by many atoms
• Optical response of atom chains beyond the limit of low light intensity: The validity of the linear classical oscillator model
• Resonance linewidth and inhomogeneous broadening in a metamaterial array
• Cooperative resonance linewidth narrowing in a planar metamaterial
• Near-resonant light scattering by a sub-wavelength ensemble of identical atoms
• Directional superradiance in a driven ultracold atomic gas in free-space
• Bistable optical transmission through arrays of atoms in free space
• Multiple scattering dynamics of fermions at an isolated p-wave resonance
• Homogenization of an ensemble of interacting resonant scatterers
• Resonant-light diffusion in a disordered atomic layer
• Stochastic electrodynamics simulations for collective atom response in optical cavities
• Unidirectional absorption, storage, and emission of single photons in a collectively responding bilayer atomic array
• Parity-time symmetry and coherent perfect absorption in a cooperative atom response
• Near-resonant light transmission in two-dimensional dense cold atomic media with short-range positional correlations
• Imaging cold atoms with shot-noise and diffraction limited holography
• Radiative toroidal dipole and anapole excitations in collectively responding arrays of atoms
• High-fidelity imaging of a band insulator in a three-dimensional optical lattice clock
• 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
• Collective dipole-dipole interactions in planar nanocavities
• Dispersive detection of atomic ensembles in the presence of strong lensing
• Effective two-level approximation of a multi-level system driven by coherent and incoherent fields
• Resonant Dipole-Dipole Interactions in Electromagnetically Induced Transparency
• Towards a measurement of the Debye length in very large Magneto-Optical traps
• Light scattering properties beyond weak-field excitation in atomic ensembles
• Resonant light scattering by a slab of ultracold atoms
• Spectroscopic localization of atomic sample plane for precise digital holography
• Propagation of light in cold emitter ensembles with quantum position correlations due to static long-range dipolar interactions
• Interpretable machine-learning identification of the crossover from subradiance to superradiance in an atomic array
• Metalens formed by structured arrays of atomic emitters