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Europhysics Letters (EPL)

Steady state of atoms in a monochromatic elliptically polarized light field

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

Published Oct 1, 1998• 13 citations
Publisher

Abstract

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.

DOI
10.1209/epl/i1998-00429-5

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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.
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.