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• W2000268267 abstract "When physical systems are tunable by three classical parameters, level degeneracies may occur at isolated points in parameter space. A topological singularity in the phase of the degenerate eigenvectors exists at these points. When a path encloses such point, the accumulated geometrical phase is sensitive to its presence. Furthermore, surfaces in parameter space enclosing such point can be used to characterize the eigenvector singularities through their Chern indices, which are integers. They can be used to quantize a physical quantity of interest. This quantity changes continuously during an adiabatic evolution along a path in parameter space. Quantization requires to turn this path into a surface with a well defined Chern index. We analyze the conditions necessary to a topological quantization by controlled paths. It is applied to Cooper pair pumps. For more general problems, a set of four criteria is proposed to check if topological quantization is possible." @default.
• W2000268267 created "2016-06-24" @default.
• W2000268267 creator A5024301267 @default.
• W2000268267 creator A5043354156 @default.
• W2000268267 date "2008-02-29" @default.
• W2000268267 modified "2023-10-12" @default.
• W2000268267 title "Topological quantization by controlled paths: Application to Cooper pairs pumps" @default.
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• W2000268267 doi "https://doi.org/10.1103/physrevb.77.064524" @default.
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