Analytic estimation of transition between instantaneous eigenstates of quantum two-level system
Quantum Physics
2018-03-28 v1
Abstract
Transition amplitudes between instantaneous eigenstates of quantum two-level system are evaluated analytically on the basis of a new parametrization of its evolution operator, which has recently been proposed to construct exact solutions. In particular, they are estimated when the Hamiltonian varies infinitesimally slowly. The results, not only confirm the adiabatic theorem in the adiabatic limit, but also bring us with an analytic estimation of the adiabatic approximation. The condition under which no transition between different instantaneous eigenstates is allowed is also clarified.
Keywords
Cite
@article{arxiv.1803.09472,
title = {Analytic estimation of transition between instantaneous eigenstates of quantum two-level system},
author = {Takayuki Suzuki and Hiromichi Nakazato and Roberto Grimaudo and Antonino Messina},
journal= {arXiv preprint arXiv:1803.09472},
year = {2018}
}