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arXiv · 0902.2629

Robustness of geometric phase under parametric noise

Cosmo Lupo·Paolo Aniello
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Abstract

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.

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Cosmo Lupo, Paolo Aniello. 2009-02-16. Robustness of geometric phase under parametric noise. https://doi.org/10.1088/0031-8949%2F79%2F06%2F065012

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