Restricted quantum-classical correspondence and counting statistics for a coherent transition
Maya Chuchem and Doron Cohen

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 ${\langle Q \rangle=p}$ with a variance ${\mbox{Var}(Q) =(1-p)p}$. 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 ${\mbox{Var}(Q)}$ within the framework of the adiabatic picture, analyzing the simplest non-trivial example of a Landau-Zener crossing.

© 2008 The American Physical Society.