title: Quasienergy anholonomy and its application to adiabatic quantum state manipulation.
abstract: The parametric dependence of a quantum map under the influence of a rank-1 perturbation is investigated. While the Floquet operator of the map and its spectrum have a common period with respect to the perturbation strength lambda, we show an example in which none of the quasienergies nor the eigenvectors obey the same period: After a periodic increment of lambda, the quasienergy arrives at the nearest higher one, instead of the initial one, exhibiting an anholonomy, which governs another anholonomy of the eigenvectors. An application to quantum state manipulations is outlined.
authors.affiliation: Department of Physics, Tokyo Metropolitan University, Minami-Osawa, Hachioji, Tokyo 192-0397, Japan. tanaka@phys.metro-u.ac.jp
authors.forename: Atushi
authors.initials: A
authors.lastname: Tanaka
authors.forename: Manabu
authors.initials: M
authors.lastname: Miyamoto