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Localisation faible de la lumière dans un gaz d'atomes froids : rétrodiffusion cohérente et structure quantique interne

Cord Axel Müller

Published Jan 1, 2001• 1 citation
OpenAlex

Abstract

Recent experimental results show that the interference contrast observed in coherent backscattering (CBS) of light by cold atoms is drastically reduced with respect to classical disordered media. In the present theoretical contribution, we study the impact of the degeneracy of the atomic dipole transition on weak localization of light. The nonscalar components of the atomic scattering operator are characteristics of the internal structure, and strongly modify the interference properties of multiple light scattering. A systematic analysis in terms of irreducible tensors permits to calculate exact analytical expressions for the single and double scattering contributions to the CBS signal for arbitrarily degenerate atomic dipole transitions. Furthermore, we sum up the series of ladder and crossed diagrams that describe the average scattered light intensity and the weak localization corrections, respectively. We find that the degeneracy of the atomic transition has negligible impact on the average light amplitude, small impact on the average intensity, but decisive impact on the interference corrections. The internal degrees of freedom very effectively reduce the interference of weak localization and, therefore, the CBS signal for any degenerate atomic dipole transition.

Related papers

Localisation faible de la lumière dans un gaz d´atomes froids

Cord Axel Müller

Recent experimental results show that the interference contrast observed in coherent backscattering (CBS) of light by cold atoms is drastically reduced with respect to classical disordered media. In the present theoretical contribution, we study the impact of the degeneracy of the atomic dipole transition on weak localisation of light. The non-scalar components of the atomic scattering operator are characteristic of the internal structure, and strongly modify the interference properties of multiple light scattering. A systematic analysis in terms of irreducible tensors permits to calculate exact analytical expressions for the single and double scattering contributions to the CBS signal for arbitrarily degenerate atomic dipole transitions. Furthermore, we sum up the series of ladder and crossed diagrams that describe the average scattered light intensity and the weak localisation corrections, respectively. We find that the degeneracy of the atomic transition has negligeable impact on the average light amplitude, small impact on the average intensity, but decisive impact on the interference corrections. The internal degrees of freedom very effectively reduce the interference leading to weak localisation and, therefore, the CBS signal for any degenerate atomic dipole transition.

•Jan 1, 2001•0 citations

Weak localization of light by cold atoms: The impact of quantum internal structure

Cord Axel Müller, Thibaut Jonckheere, Christian Miniatura +1 more

Since the work of Anderson on localization, interference effects for the propagation of a wave in the presence of disorder have been extensively studied, as exemplified in coherent backscattering (CBS) of light. In the multiple scattering of light by a disordered sample of thermal atoms, interference effects are usually washed out by the fast atomic motion. This is no longer true for cold atoms where CBS has recently been observed. However, the internal structure of the atoms strongly influences the interference properties. In this paper, we consider light scattering by an atomic dipole transition with arbitrary degeneracy and study its impact on coherent backscattering. We show that the interference contrast is strongly reduced. Assuming a uniform statistical distribution over internal degrees of freedom, we compute analytically the single- and double-scattering contributions to the intensity in the weak-localization regime. The so-called ladder and crossed diagrams are generalized to the case of atoms and permit to calculate enhancement factors and backscattering intensity profiles for polarized light and any closed atomic dipole transition.

arXiv:quant-ph/0107030•Physical Review A•Oct 2, 2001•62 citations

Weak localisation of light by atoms with quantum internal structure

Cord Axel Müller, Christian Miniatura

The interference contrast observed in coherent backscattering by cold atoms is drastically reduced with respect to classical disordered media. We study the impact of the degeneracy of the resonant atomic dipole transition on multiple scattering of polarised photons. An analytical treatment allows to derive the diffusion coefficient and depolarisation times for the average light intensity, and dephasing times for the weak localisation corrections. The calculated CBS signals reproduce the experimental results.

arXiv:quant-ph/0304048•Apr 6, 2003•0 citations

Multiple Scattering of Light by Atoms in the Weak Localization Regime

Thibaut Jonckheere, Cord Axel Müller, Robin Kaiser +2 more

Coherent backscattering is a multiple scattering interference effect which enhances the diffuse reflection off a disordered sample in the backward direction. Classically, the enhanced intensity is twice the average background under well chosen experimental conditions. We show how the quantum internal structure of atomic scatterers leads to a significantly smaller enhancement. Theoretical results for double scattering in the weak localization regime are presented which confirm recent experimental observations.

arXiv:physics/0002044•Physical Review Letters•Nov 13, 2000•85 citations

Multiple scattering of light by atoms with internal degeneracy

Cord Axel Müller, Christian Miniatura

An analytical microscopic theory for the resonant multiple scattering of light by cold atoms with arbitrary internal degeneracy is presented. It permits us to calculate the average amplitude and the average intensity for one-photon states of the full transverse electromagnetic field in a dilute medium of unpolarized atoms. Special emphasis is laid upon an analysis in terms of irreducible representations of the rotation group. It allows us to sum explicitly the ladder and maximally crossed diagrams, giving the average intensity in the Boltzmann approximation and the interference corrections responsible for weak localization and coherent backscattering. The exact decomposition into field modes shows that the atomic internal degeneracy contributes to th ed epolarization of the average intensity and suppresses the interference corrections. Static as well as dynamic quantities such as the transport velocity, diffusion constants and relaxation times for all field modes and all atomic transitions are derived.

Journal of Physics A Mathematical and General•Nov 13, 2002•51 citations

Coherent backscattering of light by resonant atomic dipole transitions

David Wilkowski, Yannick Bidel, T. Chanelière +8 more

We study coherent backscattering (CBS) of resonant light by cold atomic vapors, both experimentally and theoretically. The theory predicts a drastic reduction of the CBS enhancement factor when a degenerate internal structure is present in the ground state. We test this prediction in experiments using different atoms and various transitions.

Journal of the Optical Society of America B•Jan 1, 2004•15 citations
Recent experimental results show that the interference contrast observed in coherent backscattering (CBS) of light by cold atoms is drastically reduced with respect to classical disordered media. In the present theoretical contribution, we study the impact of the degeneracy of the atomic dipole transition on weak localization of light. The nonscalar components of the atomic scattering operator are characteristics of the internal structure, and strongly modify the interference properties of multiple light scattering. A systematic analysis in terms of irreducible tensors permits to calculate exact analytical expressions for the single and double scattering contributions to the CBS signal for arbitrarily degenerate atomic dipole transitions. Furthermore, we sum up the series of ladder and crossed diagrams that describe the average scattered light intensity and the weak localization corrections, respectively. We find that the degeneracy of the atomic transition has negligible impact on the average light amplitude, small impact on the average intensity, but decisive impact on the interference corrections. The internal degrees of freedom very effectively reduce the interference of weak localization and, therefore, the CBS signal for any degenerate atomic dipole transition.
Recent experimental results show that the interference contrast observed in coherent backscattering (CBS) of light by cold atoms is drastically reduced with respect to classical disordered media. In the present theoretical contribution, we study the impact of the degeneracy of the atomic dipole transition on weak localisation of light. The non-scalar components of the atomic scattering operator are characteristic of the internal structure, and strongly modify the interference properties of multiple light scattering. A systematic analysis in terms of irreducible tensors permits to calculate exact analytical expressions for the single and double scattering contributions to the CBS signal for arbitrarily degenerate atomic dipole transitions. Furthermore, we sum up the series of ladder and crossed diagrams that describe the average scattered light intensity and the weak localisation corrections, respectively. We find that the degeneracy of the atomic transition has negligeable impact on the average light amplitude, small impact on the average intensity, but decisive impact on the interference corrections. The internal degrees of freedom very effectively reduce the interference leading to weak localisation and, therefore, the CBS signal for any degenerate atomic dipole transition.
Since the work of Anderson on localization, interference effects for the propagation of a wave in the presence of disorder have been extensively studied, as exemplified in coherent backscattering (CBS) of light. In the multiple scattering of light by a disordered sample of thermal atoms, interference effects are usually washed out by the fast atomic motion. This is no longer true for cold atoms where CBS has recently been observed. However, the internal structure of the atoms strongly influences the interference properties. In this paper, we consider light scattering by an atomic dipole transition with arbitrary degeneracy and study its impact on coherent backscattering. We show that the interference contrast is strongly reduced. Assuming a uniform statistical distribution over internal degrees of freedom, we compute analytically the single- and double-scattering contributions to the intensity in the weak-localization regime. The so-called ladder and crossed diagrams are generalized to the case of atoms and permit to calculate enhancement factors and backscattering intensity profiles for polarized light and any closed atomic dipole transition.
The interference contrast observed in coherent backscattering by cold atoms is drastically reduced with respect to classical disordered media. We study the impact of the degeneracy of the resonant atomic dipole transition on multiple scattering of polarised photons. An analytical treatment allows to derive the diffusion coefficient and depolarisation times for the average light intensity, and dephasing times for the weak localisation corrections. The calculated CBS signals reproduce the experimental results.
Coherent backscattering is a multiple scattering interference effect which enhances the diffuse reflection off a disordered sample in the backward direction. Classically, the enhanced intensity is twice the average background under well chosen experimental conditions. We show how the quantum internal structure of atomic scatterers leads to a significantly smaller enhancement. Theoretical results for double scattering in the weak localization regime are presented which confirm recent experimental observations.
An analytical microscopic theory for the resonant multiple scattering of light by cold atoms with arbitrary internal degeneracy is presented. It permits us to calculate the average amplitude and the average intensity for one-photon states of the full transverse electromagnetic field in a dilute medium of unpolarized atoms. Special emphasis is laid upon an analysis in terms of irreducible representations of the rotation group. It allows us to sum explicitly the ladder and maximally crossed diagrams, giving the average intensity in the Boltzmann approximation and the interference corrections responsible for weak localization and coherent backscattering. The exact decomposition into field modes shows that the atomic internal degeneracy contributes to th ed epolarization of the average intensity and suppresses the interference corrections. Static as well as dynamic quantities such as the transport velocity, diffusion constants and relaxation times for all field modes and all atomic transitions are derived.