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.File | Dimensione | Formato | |
---|---|---|---|
2014_PRA_mkq.pdf
non disponibili
Tipologia:
Post-print
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
567.63 kB
Formato
Adobe PDF
|
567.63 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11365/46170
Attenzione
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo