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

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

2007-08-30

arxiv.org/abs/0708.4237v3

Phys. Rev. A 77, 012109 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 4 figures

Scientific paper

10.1103/PhysRevA.77.012109

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 $=p}$ 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.

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