 04102 Volker Betz and Stefan Teufel
 Precise coupling terms in adiabatic quantum evolution
(84K, Latex 2e)
Apr 7, 04

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. It is known that for multilevel timedependent quantum systems one can construct superadiabatic representations in which the coupling between separated levels is exponentially small in the adiabatic limit. For a family of twostate systems with realsymmetric Hamiltonian we construct such a superadiabatic representation and explicitly determine the asymptotic behavior of the exponentially small coupling term. First order perturbation theory in the superadiabatic representation then allows us to describe the timedevelopment of exponentially small adiabatic transitions. The latter result rigorously confirms the predictions of Sir Michael Berry for our family of Hamiltonians and slightly generalizes a recent mathematical result of George Hagedorn and Alain Joye.
 Files:
04102.src(
04102.keywords ,
BetzTeufelArchive.tex )