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

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.

arXiv comment11 pages, 2 figures, published version, Latex Eq# corrected

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Cited by in corpus (9)

• Dynamic scattering channels of a double barrier structure
• Quantum Stirring in low dimensional devices
• Control of atomic currents using a quantum stirring device
• Restricted quantum-classical correspondence and counting statistics for a coherent transition
• Controlled quantum stirring of Bose-Einstein condensates
• Quantum transport and counting statistics in closed systems
• Multiple path adiabatic crossing in a 3 site ring
• Quantum dynamics and transport in a double well system
• Multiple path transport in quantum networks