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

Maya Chuchem, Doron Cohen
2008 Physical Review A. Atomic, Molecular, and Optical Physics  
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
more » ... ransition 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.
doi:10.1103/physreva.77.012109 fatcat:dxehha4iwnft5kcsd3jobpsv5u