Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Experimental and Theoretical Physics Letters

Influence of an electrostatic field on the permittivity of dense and cold atomic ensembles

Igor M. Sokolov

Published Sep 1, 2017• 18 citations
Publisher

Abstract

The permittivity tensor of dense and cold atomic ensembles exposed to an electrostatic field has been calculated in the microscopic quantum-mechanical approach. The anisotropic properties and dispersion of the systems under consideration have been analyzed. It has been shown that the electro-optical effects in dense ensembles are manifested in an essentially different manner than in diluted ones, where the resonant dipole–dipole interaction between atoms can be neglected. The discovered features have been explained by the influence of the electric field on the character of collective effects, which affect considerably the optical properties of the ensembles of interacting atoms.

DOI
10.1134/s0021364017170106

Related papers

Electro-optical effects in dense and cold atomic gases

Igor M. Sokolov

On the basis of the general theoretical approach developed previously by Fofanov et al. [Ya. A. Fofanov et al., Phys. Rev. A 84, 053811 (2011)], we analyze the atomic polarization created by weak monochromatic light in an optically thick, dense, and cold atomic ensemble placed in an electrostatic field. On this basis, we determine complex refractive indexes and the permittivity tensor of the medium. We analyze the dispersion of the permittivity and its dependence on the strength of the field and on the density of the medium. We show that electro-optic effects in dilute and cold gases differ essentially from those in dense ones. In the latter case, electric field modifies the shape, amplitude, and typical linewidth of the atomic resonance. The electric field also modifies the collective Lamb shift. Observed peculiarities are explained as a result of the indirect influence of the field on optical properties of dense gases through modification of polyatomic collective effects caused by interatomic dipole-dipole interactions.

Physical Review A•Jul 17, 2018•8 citations

Near-resonant light transmission in two-dimensional dense cold atomic media with short-range positional correlations

Boxiang Wang, Chang Zhao

Light–matter interaction in cold atomic ensembles is one of the central topics in modern quantum and atomic optics with important applications in various quantum technologies. The collective response of dense atomic gases under light excitation depends crucially on the spatial distribution of atoms and the geometry of the ensemble. We analyze near-resonant light transmission in two-dimensional dense ultracold atomic ensembles with short-range positional correlations. Based on coupled-dipole simulations, we show that the collective effects, manifested as notable shifts of transmission resonance frequency and considerable modification of optical depths, are influenced strongly by positional correlations. Mean-field theories such as the Lorentz–Lorenz relation are not capable of describing such collective effects. We also investigate the statistical distribution of eigenstates and provide a connection between the transmission spectra and eigenstate distribution by utilizing the population weighted detuning and decay rate of all eigenstates. We further demonstrate the intricate interplay between dipole–dipole interactions and positional correlations by increasing the number densities of atoms.

arXiv:1911.11583•Journal of the Optical Society of America B•Apr 28, 2020•11 citations

The influence of collective effects on the propagation of electromagnetic radiation in dense ultracold atomic ensembles

A. S. Kuraptsev, Igor M. Sokolov, Ya. A. Fofanov

Based on the already-developed general theory (I.M. Sokolov, D.V. Kupriyanov, and M.D. Havey, JETP 112 (2), 246 (2011)), we have studied the spatial distribution of excited atoms and of the atomic polarization that a weak monochromatic field creates in a dense ultracold atomic medium. We show that, in the case of a homogeneous random spatial distribution of atoms, the amplitude of atomic polarization averaged over spatial configurations decreases outside boundary regions according to an exponential law, while its phase linearly increases. Based on this, we have numerically determined the extinction coefficient and the light wavelength in the medium, as well as its dielectric permittivity. The dispersion of the permittivity at different concentrations has been studied. We show that, for dense clouds, the real part of the dielectric permittivity acquires negative values in a certain frequency range. Based on the calculation of the spatial distribution of excited atoms, we have analyzed the character of the transfer and trapping of quasi-resonant radiation in atomic clouds of differing density.

Optics and Spectroscopy•Mar 1, 2012•23 citations

The Influence of Electric and Magnetic Fields on Angular Distribution of Intensity of Light Scattered from a Cold Atomic Ensemble

Ларионов Николай Владимирович, Igor M. Sokolov

Abstract An angular distribution of the intensity of light scattered from an optically dense cold atomic ensemble placed into homogeneous static electric or magnetic field is calculated. Partial contributions of different orders of scattering into the selected polarization component of total intensity of the secondary radiation are analyzed. It is demonstrated that static fields make the medium anisotropic, which results in changes in both an angular distribution of such a radiation and relative contributions of different orders of scattering.

Optics and Spectroscopy•Sep 1, 2019•0 citations

Polaritonic modes in a dense cloud of cold atoms

Nick J. Schilder, Christophe Sauvan, Jean‐Paul Hugonin +4 more

We analyze resonant light scattering by a cloud of cold atoms with randomly distributed positions in a regime where resonant dipole-dipole interactions between scatterers cannot be neglected. Using a microscopic approach we calculate numerically the collective eigenmodes of the cloud for many realizations. It is found that there always exists a small number of polaritonic modes. Using a macroscopic approach, we show that the atomic cloud is equivalent to a homogeneous particle with an effective permittivity and that there is a one-to-one correspondence between the microscopic polaritonic modes and the modes of the homogeneous particle.

arXiv:1510.07993•Physical Review A•Jun 20, 2016•56 citations

Dispersion of the dielectric permittivity of dense and cold atomic gases

Ya. A. Fofanov, A. S. Kuraptsev, Igor M. Sokolov +1 more

On the basis of general theoretical results developed previously in [JETP 112, 246 (2011)], we analyze the atomic polarization created by weak monochromatic light in an optically thick, dense, and cold atomic ensemble. We show that the amplitude of the polarization averaged over a uniform random atomic distribution decreases exponentially beyond the boundary regions. The phase of this polarization increases linearly with increasing penetration into the medium. On these grounds, we determine numerically the wavelength of the light in the dense atomic medium, its extinction coefficient, and the complex refractive index and dielectric constant of the medium. The dispersion of the permittivity is investigated for different atomic densities. It is shown that, for dense clouds, the real part of the permittivity is negative in some spectral domains.

arXiv:1109.2177•Physical Review A•Nov 7, 2011•73 citations
The permittivity tensor of dense and cold atomic ensembles exposed to an electrostatic field has been calculated in the microscopic quantum-mechanical approach. The anisotropic properties and dispersion of the systems under consideration have been analyzed. It has been shown that the electro-optical effects in dense ensembles are manifested in an essentially different manner than in diluted ones, where the resonant dipole–dipole interaction between atoms can be neglected. The discovered features have been explained by the influence of the electric field on the character of collective effects, which affect considerably the optical properties of the ensembles of interacting atoms.
On the basis of the general theoretical approach developed previously by Fofanov et al. [Ya. A. Fofanov et al., Phys. Rev. A 84, 053811 (2011)], we analyze the atomic polarization created by weak monochromatic light in an optically thick, dense, and cold atomic ensemble placed in an electrostatic field. On this basis, we determine complex refractive indexes and the permittivity tensor of the medium. We analyze the dispersion of the permittivity and its dependence on the strength of the field and on the density of the medium. We show that electro-optic effects in dilute and cold gases differ essentially from those in dense ones. In the latter case, electric field modifies the shape, amplitude, and typical linewidth of the atomic resonance. The electric field also modifies the collective Lamb shift. Observed peculiarities are explained as a result of the indirect influence of the field on optical properties of dense gases through modification of polyatomic collective effects caused by interatomic dipole-dipole interactions.
Light–matter interaction in cold atomic ensembles is one of the central topics in modern quantum and atomic optics with important applications in various quantum technologies. The collective response of dense atomic gases under light excitation depends crucially on the spatial distribution of atoms and the geometry of the ensemble. We analyze near-resonant light transmission in two-dimensional dense ultracold atomic ensembles with short-range positional correlations. Based on coupled-dipole simulations, we show that the collective effects, manifested as notable shifts of transmission resonance frequency and considerable modification of optical depths, are influenced strongly by positional correlations. Mean-field theories such as the Lorentz–Lorenz relation are not capable of describing such collective effects. We also investigate the statistical distribution of eigenstates and provide a connection between the transmission spectra and eigenstate distribution by utilizing the population weighted detuning and decay rate of all eigenstates. We further demonstrate the intricate interplay between dipole–dipole interactions and positional correlations by increasing the number densities of atoms.
Based on the already-developed general theory (I.M. Sokolov, D.V. Kupriyanov, and M.D. Havey, JETP 112 (2), 246 (2011)), we have studied the spatial distribution of excited atoms and of the atomic polarization that a weak monochromatic field creates in a dense ultracold atomic medium. We show that, in the case of a homogeneous random spatial distribution of atoms, the amplitude of atomic polarization averaged over spatial configurations decreases outside boundary regions according to an exponential law, while its phase linearly increases. Based on this, we have numerically determined the extinction coefficient and the light wavelength in the medium, as well as its dielectric permittivity. The dispersion of the permittivity at different concentrations has been studied. We show that, for dense clouds, the real part of the dielectric permittivity acquires negative values in a certain frequency range. Based on the calculation of the spatial distribution of excited atoms, we have analyzed the character of the transfer and trapping of quasi-resonant radiation in atomic clouds of differing density.
Abstract An angular distribution of the intensity of light scattered from an optically dense cold atomic ensemble placed into homogeneous static electric or magnetic field is calculated. Partial contributions of different orders of scattering into the selected polarization component of total intensity of the secondary radiation are analyzed. It is demonstrated that static fields make the medium anisotropic, which results in changes in both an angular distribution of such a radiation and relative contributions of different orders of scattering.
We analyze resonant light scattering by a cloud of cold atoms with randomly distributed positions in a regime where resonant dipole-dipole interactions between scatterers cannot be neglected. Using a microscopic approach we calculate numerically the collective eigenmodes of the cloud for many realizations. It is found that there always exists a small number of polaritonic modes. Using a macroscopic approach, we show that the atomic cloud is equivalent to a homogeneous particle with an effective permittivity and that there is a one-to-one correspondence between the microscopic polaritonic modes and the modes of the homogeneous particle.
On the basis of general theoretical results developed previously in [JETP 112, 246 (2011)], we analyze the atomic polarization created by weak monochromatic light in an optically thick, dense, and cold atomic ensemble. We show that the amplitude of the polarization averaged over a uniform random atomic distribution decreases exponentially beyond the boundary regions. The phase of this polarization increases linearly with increasing penetration into the medium. On these grounds, we determine numerically the wavelength of the light in the dense atomic medium, its extinction coefficient, and the complex refractive index and dielectric constant of the medium. The dispersion of the permittivity is investigated for different atomic densities. It is shown that, for dense clouds, the real part of the permittivity is negative in some spectral domains.