Photonic superdiffusive motion in resonance line radiation trapping Partial frequency redistribution effects

Alves-Pereira, A. R.; Nunes-Pereira, Eduardo J.; Martinho, J. M. G.; Berberan‐Santos, Mário N.

doi:10.1063/1.2717190

Cited by 13 publications

(18 citation statements)

References 40 publications

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“…(2). The evolution of the spectrum, taking into account Doppler broadening and averaging over the scattering angles [17], is then given by…”

Section: Methodsmentioning

confidence: 99%

“…To determine numerically the shape of the step size distribution P n for photons after n scattering events, we compute the evolution of the spectrum Θ n of scattered light, taking into account Doppler broadening and averaging over the scattering angles [17]. P n is then obtained by using Eq.…”

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confidence: 99%

“…However, in these cases, the emission spectra are very different as one no longer has coherent emission processes, and one expects in that case that P (x) follows a power law with an exponent 1.5 leading to an infinite mean free path [16]. Finally, truncated Lévy flights [18] could be considered to deal with finitesize samples or, on the other hand, with very large systems, if the step size distribution exhibits a cutoff at long distance [17].…”

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confidence: 99%

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Lévy flights of photons in hot atomic vapours

et al. 2009

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Properties of random and fluctuating systems are often studied through the use of Gaussian distributions. However, in a number of situations, rare events have drastic consequences, which can not be explained by Gaussian statistics. Considerable efforts have thus been devoted to the study of non Gaussian fluctuations such as Lévy statistics, generalizing the standard description of random walks. Unfortunately only macroscopic signatures, obtained by averaging over many random steps, are usually observed in physical systems. We present experimental results investigating the elementary process of anomalous diffusion of photons in hot atomic vapours. We measure the step size distribution of the random walk and show that it follows a power law characteristic of Lévy flights.

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“…(2). The evolution of the spectrum, taking into account Doppler broadening and averaging over the scattering angles [17], is then given by…”

Section: Methodsmentioning

confidence: 99%

mentioning

confidence: 99%

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confidence: 99%

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Lévy flights of photons in hot atomic vapours

et al. 2009

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“…quenched disorder in Lévy glasses) [16], or alternatively, to correlations in optical frequency in case of inelastic scattering (e.g. partial frequency redistribution effects in atomic vapors) [17]. Whatever the cause, these correlations are at the root of some limitations in the observation of Lévy flights characteristics [18], and it is thus important to look for a system without any of such correlations.…”

Section: Introductionmentioning

confidence: 99%

Signatures of Lévy flights with annealed disorder

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Pierrat²,

Eloy³

et al. 2014

Phys. Rev. E

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We present theoretical and experimental results of Lévy flights of light originating from a random walk of photons in a hot atomic vapor. In contrast to systems with quenched disorder, this system does not present any correlations between the position and the step length of the random walk. In an analytical model based on microscopic first principles including Doppler broadening we find anomalous Lévy-type superdiffusion corresponding to a single-step size distribution P (x) ∝ x −(1+α) , with α ≈ 1. We show that this step size distribution leads to a violation of Ohm', as expected for a Lévy walk of independent steps. Furthermore the spatial profile of the transmitted light develops power law tails [T diff (r) ∝ r −3−α ]. In an experiment using a slab geometry with hot rubidium vapor, we measured the total diffuse transmission T diff and the spatial profile of the transmitted light T diff (r). We obtained the microscopic Lévy parameter α under macroscopic multiple scattering conditions paving the way to investigation of Lévy flights in different atomic physics and astrophysics systems.

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“…Θ n (ω) is obtained by averaging the emission spectrum over all possible scattering angles [12,22]. As we assume the medium to be infinite, the photon can not escape and is therefore always scattered, regardless of its frequency ω at a given instant.…”

Section: Multiple Scattering Regime a Light Thermalizationmentioning

confidence: 99%