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

2007/04/30 by Maya Chuchem, Doron Cohen · 3 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum Mechanics and Applications #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1088/1751-8113/41/7/075302

published as J. Phys. A 41, 075302 (2008) · 11 pages, 2 figures, published version, Latex Eq# corrected

arxiv created 2008/02/05 · openalex publication_date 2008/02/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

The amount Q of particles that are transported via a path of motion is characterized by its expectation value ⟨ Q ⟩ 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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