Search for Anderson localization of light by cold atoms in a static electric field

Skipetrov, S. E.; Sokolov, I. M.

doi:10.1103/physrevb.99.134201

Cited by 18 publications

(20 citation statements)

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“…This establishes the validity of diffusion theory for light transport in dense clouds of cold atoms in strong electric fields at least up to densities of the order of 10 2 atoms per wavelength cubed. Even though we do not study densities larger than ρ/k 3 0 = 0.3 (which corresponds to ρλ 3 0 75) in this work, we expect this conclusion to hold at higher densities as well because no signatures of Anderson localization were found from the analysis of quasi-modes of dense atomic clouds up to ρ/k 3 0 = 1.5 [26]. We expect scattering to weaken and homogenization to take place at even higher densities for which the atomic system should start to behave as a homogeneous medium with some effective properties.…”

Section: Average Population Of Excited Statesmentioning

confidence: 77%

“…Our proposal of a 3D experiment with cold atoms in a static magnetic field [25] requires a strong field that may be difficult to realize in practice. We have therefore explored the pos- * Sergey.Skipetrov@lpmmc.cnrs.fr † ims@is12093.spb.edu sibility of using an electric field instead, hoping that the Stark effect might have the same impact on localization as the Zeeman effect does [26]. It turned out, however, that a static electric field does not induce Anderson localization of light in the atomic medium.…”

Section: Introductionmentioning

confidence: 99%

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Transport of light through a dense ensemble of cold atoms in a static electric field

Skipetrov

Sokolov

2019

Phys. Rev. A

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We demonstrate that the transport of coherent quasiresonant light through a dense cloud of immobile two-level atoms subjected to a static external electric field can be described by a simple diffusion process up to atomic number densities of the order of at least 10 2 atoms per wavelength cubed. Transport mean free paths well below the wavelength of light in the free space can be reached without inducing any sign of Anderson localization of light or of any other mechanism of breakdown of diffusion. arXiv:1904.06408v2 [cond-mat.dis-nn]

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Section: Average Population Of Excited Statesmentioning

confidence: 77%

Section: Introductionmentioning

confidence: 99%

Transport of light through a dense ensemble of cold atoms in a static electric field

Skipetrov

Sokolov

2019

Phys. Rev. A

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“…In order to analyze the light localization behavior, we have evaluated the modal average lifetime [31,62,63], the Thouless conductance g, also called Thouless number [73][74][75], and the level spacing distribution [76,77]. The average modal lifetime, defined asΓ = Γ 0 /Γ n , provides the mean time that light spends inside a medium [31,62,63].…”

Section: Structural and Spectral Properties Of Elliptic Curves Amentioning

confidence: 99%

“…This frequency stripe selection is necessary due to the strong frequency dependence of the light localization behavior [31]. On the other hand, averaging over all scattering frequencies will produce biased results due to mixing of different types of light regimes [75]. Differently from the uniform random media, we do not need to consider any ensemble averages because the EC structures are deterministic.…”

Section: Structural and Spectral Properties Of Elliptic Curves Amentioning

confidence: 99%

Aperiodic Photonics of Elliptic Curves

2019

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In this paper we propose a novel approach to aperiodic order in optical science and technology that leverages the intrinsic structural complexity of certain non-polynomial (hard) problems in number theory and cryptography for the engineering of optical media with novel transport and wave localization properties. In particular, we address structure-property relationships in a large number (900) of light scattering systems that physically manifest the distinctive aperiodic order of elliptic curves and the associated discrete logarithm problem over finite fields. Besides defining an extremely rich subject with profound connections to diverse mathematical areas, elliptic curves offer unprecedented opportunities to engineer light scattering phenomena in aperiodic environments beyond the limitations of traditional random media. Our theoretical analysis combines the interdisciplinary methods of point patterns spatial statistics with the rigorous Green's matrix solution of the multiple wave scattering problem for electric and magnetic dipoles and provides access to the spectral and light scattering properties of novel deterministic aperiodic structures with enhanced light-matter coupling for nanophotonics and metamaterials applications to imaging and spectroscopy. * dalnegro@bu.edu arXiv:1912.08871v1 [cond-mat.dis-nn]

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“…This model was first proposed by Foldy [9], then discussed in detail by Lax [10]. Later similar approach was used in the context of different type of collective effects such as multiple and recurrent scattering, collective spontaneous decay and Anderson localization of light [11]- [26].…”

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confidence: 99%

Influence of atomic motion on the collective effects in dense and cold atomic ensembles

Kuraptsev

Sokolov

2020

Phys. Rev. A

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We show that atomic motion leads not only to noticeable quantitative, but in some cases also to qualitative modification of collective effects in dense and cold atomic ensembles even in the case when the characteristic Doppler shifts are tens of times smaller than the natural linewidth. The observed influence is explained as a result of the suppression of the impact of sub-radiant collective states caused by the displacement of the atoms.Collective effects such as sub and superradiance, weak and strong (Anderson) localization have recently attracted keen interest. Atomic motion can significantly modify the character of these effects. The light emitted by one atom turns out to be non-resonant to the transition of another one moving with a different speed. In the case when the Doppler shifts are greater or comparable with the natural width of the atomic excited state, the mutual non-resonance of the atoms is taken into account by introducing a random shifts of atomic levels that are different for different atoms ([1, 2]).Lowering the temperature weakens the Doppler effect, therefore one of the most interesting objects for the study of collective effects is the atomic ensembles, cooled to sub-Doppler temperatures in special traps [3][4][5][6]. Thus, in modern magnetooptical and dipole traps, atomic clouds are cooled to temperatures of the order of 30-100 µK. In this case, the Doppler shifts and the inhomogeneous broadening of the lines are substantially less than the natural linewidth and the dipole-dipole interaction is practically indistinguishable from the case of fixed atoms (see for example [1,7]). Even the frequency diffusion due to the possible large number of light scattering by atoms is usually irrelevant [8]. For this reason, when describing collective effects the model of motionless scatterers is usually used. The displacement of atoms due to the low but finite temperature is taken into account by averaging the observed values over the random spatial configurations of atoms in the ensemble.In this paper, we show that such approach can lead not only to substantial quantitative errors, but also in some cases to qualitatively wrong conclusions, even when the Doppler frequency shifts are few tens times smaller than the natural width of the atomic transition. As an illustration, we consider two problems. In the first, we calculate the transmission of the atomic cloud and show that the time average transmittance obtained as a solution of the dynamic problem for continuously transient atoms may significantly differ from the results obtained by averaging over the random spatial configurations of immobile atoms with the same spatial distribution. The second example deals with the dynamics of the spontaneous decay in a cloud of slowly moving atoms. For times exceeding the natural lifetime, a significant effect of motion on decay rate is also found out.We consider an ensemble consisting of N >> 1 identical atoms with a nondegenerate ground state with an angular momentum J g = 0. The excited state is J e = 1. The lif...

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Search for Anderson localization of light by cold atoms in a static electric field

Cited by 18 publications

References 50 publications

Transport of light through a dense ensemble of cold atoms in a static electric field

Transport of light through a dense ensemble of cold atoms in a static electric field

Aperiodic Photonics of Elliptic Curves

Influence of atomic motion on the collective effects in dense and cold atomic ensembles

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