Berry's phase in the presence of a dissipative medium

K.M.Fonseca Romero, A.C.Aguiar Pinto and M.T. Thomaz

Physica A: Statistical Mechanics and its Applications, 2002, vol. 307, issue 1, 142-156

Abstract: We consider the spin 12 model coupled to a slowly varying magnetic field in the presence of a weak damping represented by a Lindblad-form operators. We show that Berry's geometrical phase remains unaltered by the two dissipation mechanism considered. Dissipation effects are twofold: a shrinking in the modulus of the Bloch's vector, which characterizes coherence loss and a time-dependent (dissipation related) precession angle. We show that the line broadening of the Fourier transformation of the components of magnetization is only due to the presence of dissipation.

Keywords: Berry's phase; Lindblad-form operator; Decoherence (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:307:y:2002:i:1:p:142-156

DOI: 10.1016/S0378-4371(01)00589-1

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