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

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Exact steady-state density matrix for atoms in monochromatic elliptically polarized light

Gerard Nienhuis, А. В. Тайченачев, Anatolii M Tumaikin, Valeriy I. Yudin

Published Mar 15, 1999• 0 citations
Publisher

Abstract

The exact steady-state solution of the optical Bloch equations for the density matrix of atoms interacting with a monochromatic field is found in a compact analytical form for closed Fg equals F yields Fe equals F + 1 transitions. The obtained solution is valid for arbitrary light ellipticity and intensity. Some applications of this new result are outlined.

DOI
10.1117/12.342356

Related papers

Steady state of atoms in a monochromatic elliptically polarized light field

Gerard Nienhuis, А. В. Тайченачев, Anatolii M Tumaikin +1 more

An analytical and invariant expression is given for the steady-state density matrix of free atoms in a monochromatic radiation field with arbitrary intensity and arbitrary elliptical polarization. The field drives the closed transition F → F + 1, with arbitrary values of F . This is the only class of transitions where a closed analytical expression for the steady state was lacking. Some applications of this result are indicated.

Europhysics Letters (EPL)•Oct 1, 1998•13 citations

Atom in an elliptically polarized resonance field: Exact stationary solution

А. В. Тайченачев, Anatolii M Tumaikin, Valeriy I. Yudin

An analytical method is developed for finding the exact stationary solution for the density matrix of atoms in a monochromatic resonance field of arbitrary ellipticity and intensity. A solution for the transitions F g = F → F e = F +1 ( F g and F e are the angular momenta of the ground and excited states) is obtained in an analytical invariant form. The properties of this solution are investigated.

Journal of Experimental and Theoretical Physics Letters•Jul 1, 1996•2 citations

Atom in a resonant elliptically polarized field: the exact stationary solution

А. В. Тайченачев, Anatolii M Tumaikin, Valeriy I. Yudin +1 more

We present analytical and invariant expressions for the steady-state density matrix of atoms in a resonant radiation field with arbitrary intensity and arbitrary elliptical polarization. The field drives the closed dipole transition with arbitrary values of the angular momenta of the ground Jg and excited Je states. These transitions can be classified depending on the structure of the solution and its physical peculiarities.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•May 30, 2002•0 citations

Steady state of atoms in a resonant field with elliptical polarization

A. V. Taǐchenachev, Anatolii M Tumaikin, Valeriy I. Yudin +1 more

We present a complete set of analytical and invariant expressions for the steady-state density matrix of atoms in a resonant radiation field with arbitrary intensity and polarization. The field drives the closed dipole transition with arbitrary values of the angular momenta ${J}_{g}$ and ${J}_{e}$ of the ground and excited state. The steady-state density matrix is expressed in terms of spherical harmonics of a complex direction given by the field polarization vector. The generalization to the case of broadband radiation is given. We indicate various applications of these results.

arXiv:quant-ph/0401111•Physical Review A•Mar 24, 2004•38 citations

Steady-state multipole moments of atoms in a resonant field with elliptical polarization

А. В. Тайченачев, M. Yu. Basalaev, Д. Б. Лазебный +1 more

Steady-state multipole moments of atoms ρK q of the rank K ≤ 2 are analytically calculated for all closed dipole transitions Jg → Je in a resonant radiation field with arbitrary intensity and arbitrary elliptical polarization. The nonlinear propagation of a monochromatic elliptically polarized wave through a medium consisting of atoms with resonant transition Jg → Je is considered as an application.

Laser Physics•May 29, 2014•2 citations

Light-induced force on atoms in a monochromatic light field with arbitrary polarization

A. V. Bezverbnyĭ, Gerard Nienhuis, Anatolii M Tumaikin

The light force on slow atoms in a light field with arbitrary polarization distribution is explicitly evaluated in the case of an atomic transition J yields J with half-integer J values. The expression of the force is based on an exact analytical expression for the steady-state density matrix of the atoms. The force is naturally separated in contributions resulting from gradients of the field intensity, the polarization ellipticity, and the phase. In addition to a conservative part this force also contains a vortex component. In areas of spatial localization, where the total force vanishes, the atomic motion is governed by a potential, which in general is not harmonic for J greater than 1/2. Simple model of the formation of a one- or two-dimensional spatial atomic grating in a specific light field configuration illustrates the results.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Oct 21, 1998•0 citations
The exact steady-state solution of the optical Bloch equations for the density matrix of atoms interacting with a monochromatic field is found in a compact analytical form for closed Fg equals F yields Fe equals F + 1 transitions. The obtained solution is valid for arbitrary light ellipticity and intensity. Some applications of this new result are outlined.
We present a complete set of analytical and invariant expressions for the steady-state density matrix of atoms in a resonant radiation field with arbitrary intensity and polarization. The field drives the closed dipole transition with arbitrary values of the angular momenta Jg{J}_{g}Jg​ and Je{J}_{e}Je​ of the ground and excited state. The steady-state density matrix is expressed in terms of spherical harmonics of a complex direction given by the field polarization vector. The generalization to the case of broadband radiation is given. We indicate various applications of these results.
The light force on slow atoms in a light field with arbitrary polarization distribution is explicitly evaluated in the case of an atomic transition J yields J with half-integer J values. The expression of the force is based on an exact analytical expression for the steady-state density matrix of the atoms. The force is naturally separated in contributions resulting from gradients of the field intensity, the polarization ellipticity, and the phase. In addition to a conservative part this force also contains a vortex component. In areas of spatial localization, where the total force vanishes, the atomic motion is governed by a potential, which in general is not harmonic for J greater than 1/2. Simple model of the formation of a one- or two-dimensional spatial atomic grating in a specific light field configuration illustrates the results.