Adiabatic Condition and Quantum Geometric Potential
arXiv:0803.3359 · doi:10.1103/PhysRevA.77.062114
Abstract
In this paper, we present a U(1)-invariant expansion theory of the adiabatic process. As its application, we propose and discuss new sufficient adiabatic approximation conditions. In the new conditions, we find a new invariant quantity referred as quantum geometric potential (QGP) contained in all time-dependent processes. Furthermore, we also give detailed discussion and analysis on the properties and effects of QGP.
5 pages, 1 figure