Restricted quantumclassical 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)=(1p)p . In the quantum mechanical context this observation becomes a nontrivial manifestation of restricted quantumclassical 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 nontrivial example of a LandauZener crossing.
 Publication:

Physical Review A
 Pub Date:
 January 2008
 DOI:
 10.1103/PhysRevA.77.012109
 arXiv:
 arXiv:0708.4237
 Bibcode:
 2008PhRvA..77a2109C
 Keywords:

 03.65.Ta;
 73.23.b;
 Foundations of quantum mechanics;
 measurement theory;
 Electronic transport in mesoscopic systems;
 Condensed Matter  Mesoscopic Systems and Quantum Hall Effect;
 Quantum Physics
 EPrint:
 7 pages, 4 figures