Robustness of geometric phase under parametric noise

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Lupo, Cosmo
Aniello, Paolo
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Abstract
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We study the robustness of geometric phase in the presence of parametric noise. For that purpose we consider a simple case study, namely a semiclassical particle which moves adiabatically along a closed loop in a static magnetic field acquiring the Dirac phase. Parametric noise comes from the interaction with a classical environment which adds a Brownian component to the path followed by the particle. After defining a gauge invariant Dirac phase, we discuss the first and second moments of the distribution of the Dirac phase angle coming from the noisy trajectory.
Comment: 1 figure, 9 pages, comments welcome
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Quantum Physics
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