0 Berry ’ s Phase in the Presence of a Dissipative Medium : Analytical Results
نویسنده
چکیده
We consider the well known model of spin 1 2 coupled to a slowly varying magnetic field in the presence of a weak damping represented by a Lindblad-form operator. We show that Berry’s geometrical phase remains unaltered by dissipation. A clear and physically appealing interpretation of this dynamics is given in terms of Bloch’s vector. Dissipation effects are twofold: a shrinking in the modulus of this vector, which (geometrically) characterizes coherence loss and a time dependent (dissipation related) precession angle. Experimentally accessible effects are calculated. PACS numbers: 03.65.Bz, 03.65.-w, 05.30, 42.50.Lc
منابع مشابه
1 Berry ’ s Phase in the Presence of a Dissipative Medium
We consider the spin 1/2 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 (dissi...
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We consider the spin 1/2 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 (dissi...
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