TY - JOUR

T1 - Restricted quantum-classical correspondence and counting statistics for a coherent transition

AU - Chuchem, Maya

AU - Cohen, Doron

PY - 2008/1/23

Y1 - 2008/1/23

N2 - 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 nontrivial 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 nontrivial example of a Landau-Zener crossing.

AB - 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 nontrivial 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 nontrivial example of a Landau-Zener crossing.

UR - http://www.scopus.com/inward/record.url?scp=38549149303&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.77.012109

DO - 10.1103/PhysRevA.77.012109

M3 - Article

AN - SCOPUS:38549149303

SN - 1050-2947

VL - 77

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 1

M1 - 012109

ER -