Robustness of geometric phase under parametric noise

Details Robustness of geometric phase under parametric noise Robustness of geometric phase under parametric noise

2009-02-16

arxiv.org/abs/0902.2629v1

Phys. Scr. 79 (2009) 065012.

Physics

Quantum Physics

1 figure, 9 pages, comments welcome

Scientific paper

10.1088/0031-8949/79/06/065012

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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