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Role of disorder in super- and subradiance of cold atomic clouds

Florent Cottier, Robin Kaiser, and Romain Bachelard
Phys. Rev. A 98, 013622 – Published 20 July 2018
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  • INTRODUCTION
  • MEAN-FIELD AND MICROSCOPIC MODELS
  • SCATTERING MODES
  • RADIATED INTENSITY
  • DISCUSSION AND CONCLUSION
  • ACKNOWLEDGMENTS
    • References

    Abstract

    The presence of superradiance and subradiance in microscopic and mean-field approaches to light scattering in atomic media is investigated. We show that these phenomena are present in both descriptions, with only minor quantitative differences, so neither rely on disorder. In particular, they are most prominent in media with high resonant optical depth yet far-detuned light, i.e., in the single-scattering regime.

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    • Received 5 April 2018

    DOI:https://doi.org/10.1103/PhysRevA.98.013622

    ©2018 American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    Atom opticsClassical opticsEffects of atomic coherence on light propagationMie scattering
    Atomic, Molecular & Optical

    Authors & Affiliations

    Florent Cottier

    • Instituto de Física de São Carlos, Universidade de São Paulo, 13560-970 São Carlos, São Paulo, Brazil and Université Côte d'Azur, CNRS, INPHYNI, France

    Robin Kaiser

    • Université Côte d'Azur, CNRS, INPHYNI, France

    Romain Bachelard

    • Departamento de Física, Universidade Federal de São Carlos, Rodovia Washington Luís, km 235, SP-310, 13565-905 São Carlos, São Paulo, Brazil

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    Issue

    Vol. 98, Iss. 1 — July 2018

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    Images

    • Figure 1
      Figure 1

      Eigenvalues in the complex plane λn=Γn+iωn for the microscopic (blues crosses) and continuous (red circles) models. Simulations were realized with a Gaussian cloud of N=2000 particles and σr≈12 (b0≈28.4), at resonance (δ=0).

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    • Figure 2
      Figure 2

      Energy shift of the subradiant tail, for a cloud with uniform density, and illuminated at resonance. The energy shift was computed using the average energy shift of the 5% most subradiant eigenvalues.

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    • Figure 3
      Figure 3

      Participation ratio of the microscopic (left panel) and MF (right panel) models for a Gaussian cloud with N=2000 atoms with optical thickness b0≈30, at resonance.

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    • Figure 4
      Figure 4

      Emission dynamics of the forward-scattered light after the laser is switched off (t=0), for the microscopic and the MF models. Simulations were realized for a Gaussian cloud with b0≈28 and N=1900 atoms, close (δ=−1) and far (δ=−10) from resonance.

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    • Figure 5
      Figure 5

      SR rate in the forward direction (θ=0) as a function of the resonant optical thickness for the microscopic and mean-field models, at resonance (δ=0) and out of resonance (δ=−5 and −10). Simulations were realized for a spherical Gaussian cloud of N=1000 atoms.

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    • Figure 6
      Figure 6

      Angular dependence of the initial radiated intensity I(0) (blue plain line) and the SR rate ΓN (red dash-dotted line) in log scale for the (a) microscopic and (b) mean-field models. The rate is computed over the time window t∈[0;0.1]/Γ for a cloud charged by a plane wave during a time of 50/Γ until t=0. Simulations realized for a Gaussian cloud with b0=28.7, δ=−10, and N=1908. The gray circles describe the level of the SR rate; the thick one corresponds to the single-atom rate ΓN=1.

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    • Figure 7
      Figure 7

      Spatial (a) intensity and (b) phase profiles of a subradiant mode of the MF model: γn,j≈0.04Γ, corresponding to (n,j)=(1,13) for a Gaussian cloud with the same parameters as in Fig. 1.

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    • Figure 8
      Figure 8

      Far-field intensity radiated in the forward direction, for a Gaussian cloud distribution with b0=80 and driven far from resonance (δ=−10).

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