We derive algebraic expressions for the atomic multipole moments mk,q (F ) describing the steady-state polarization of an atomic ensemble with angular momentum F in a static magnetic field of arbitrary direction and general multipole relaxation rates Gamma^k_q . The longitudinal moments mk,0 are given in terms of truncated continued fractions, while the transverse moments, representing the ensemble coherence, are given by products of truncated continued fractions. The special case of isotropic relaxation leads to particularly simple and elegant expressions. Our results are relevant for all domains of physics that consider the evolution of a spin system interacting with vector-type perturbations.

Bevilacqua, G., Breschi, E., Weis, A. (2014). Steady-state solutions for atomic multipole moments in an arbitrarily oriented static magnetic field. PHYSICAL REVIEW A, 89(3), 033406-1-033406-8 [10.1103/PhysRevA.89.033406].

Steady-state solutions for atomic multipole moments in an arbitrarily oriented static magnetic field

Bevilacqua, G.;
2014-01-01

Abstract

We derive algebraic expressions for the atomic multipole moments mk,q (F ) describing the steady-state polarization of an atomic ensemble with angular momentum F in a static magnetic field of arbitrary direction and general multipole relaxation rates Gamma^k_q . The longitudinal moments mk,0 are given in terms of truncated continued fractions, while the transverse moments, representing the ensemble coherence, are given by products of truncated continued fractions. The special case of isotropic relaxation leads to particularly simple and elegant expressions. Our results are relevant for all domains of physics that consider the evolution of a spin system interacting with vector-type perturbations.
2014
Bevilacqua, G., Breschi, E., Weis, A. (2014). Steady-state solutions for atomic multipole moments in an arbitrarily oriented static magnetic field. PHYSICAL REVIEW A, 89(3), 033406-1-033406-8 [10.1103/PhysRevA.89.033406].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/46170
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