Restricted quantum-classical correspondence and counting statistics for a coherent transition

Abstract

The conventional probabilistic point of view implies that if a particle has a probability $p$ to make a transition from one site to another site, then the average transport should be $<Q>=p}$ with a variance $Var(Q)=(1-p)p$. In the quantum mechanical context this observation becomes a non-trivial manifestation of restricted quantum-classical correspondence. We demonstrate this observation by considering the full counting statistics which is associated with a two level coherent transition in the context of a continuous quantum measurement process. In particular we test the possibility of getting a valid result for $Var(Q)$ within the framework of the adiabatic picture, analyzing the simplest non-trivial example of a Landau-Zener crossing.

7 pages, 4 figures

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Cited by in corpus (7)

• Quantum Stirring in low dimensional devices
• Straightforward quantum-mechanical derivation of the Crooks fluctuation theorem and the Jarzynski equality
• Counting statistics in multiple path geometries and the fluctuations of the integrated current in a quantum stirring device
• 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