Counting statistics in multiple path geometries and the fluctuations of the integrated current in a quantum stirring device

Physics – Quantum Physics

Scientific paper

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11 pages, 2 figures, published version, Latex Eq# corrected

Scientific paper

10.1088/1751-8113/41/7/075302

The amount $Q$ of particles that are transported via a path of motion is characterized by its expectation value $$ and by its variance $Var(Q)$. We analyze what happens if a particle has two optional paths available to get from one site to another site, and in particular what is $Var(Q)$ for the current which is induced in a quantum stirring device. It turns out that coherent splitting and the stirring effect are intimately related and cannot be understood within the framework of the prevailing probabilistic theory.

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