A class of connections governing parallel transport along density matrices
Jochen Dittmann, Gerd Rudolph
A class of connections governing parallel transport along nondegenerate density matrices is discussed. These connections are given by certain analytic functions. We develop a calculus for operator-valued differential forms, which enables us to calculate the curvature of these connections. The class under consideration contains a non-Abelian generalization of Berry’s phase recently proposed by Uhlmann.
Journal of Mathematical Physics•Dec 1, 1992•21 citations