Restricted quantum-classical correspondence and counting statistics for
a coherent transition
release_q2al5f3cdbamxnbf3o7dgropqa
by
Maya Chuchem, Doron Cohen
2008
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.
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