title: Gauss sum factorization with cold atoms.
abstract: We report the first implementation of a Gauss sum factorization algorithm by an internal state Ramsey interferometer using cold atoms. A sequence of appropriately designed light pulses interacts with an ensemble of cold rubidium atoms. The final population in the involved atomic levels determines a Gauss sum. With this technique we factor the number N=263193.
authors.affiliation: Institut für Quantenoptik, Leibniz Universität Hannover, Welfengarten 1, Hannover, Germany.
authors.forename: M
authors.initials: M
authors.lastname: Gilowski
authors.forename: T
authors.initials: T
authors.lastname: Wendrich
authors.forename: T
authors.initials: T
authors.lastname: Müller
authors.forename: Ch
authors.initials: Ch
authors.lastname: Jentsch
authors.forename: W
authors.initials: W
authors.lastname: Ertmer
authors.forename: E M
authors.initials: EM
authors.lastname: Rasel
authors.forename: W P
authors.initials: WP
authors.lastname: Schleich