title: Driven quantum walks.
abstract: We introduce the concept of a driven quantum walk. This work is motivated by recent theoretical and experimental progress that combines quantum walks and parametric down-conversion, leading to fundamentally different phenomena. We compare these striking differences by relating the driven quantum walks to the original quantum walk. Next, we illustrate typical dynamics of such systems and show that these walks can be controlled by various pump configurations and phase matchings. Finally, we end by proposing an application of this process based on a quantum search algorithm that performs faster than a classical search.
authors.affiliation: FNSPE, Czech Technical University in Prague, Břehová 7, 115 19 Praha 1, Czech Republic.
authors.forename: Craig S
authors.initials: CS
authors.lastname: Hamilton
authors.affiliation: Applied Physics, University of Paderborn, Warburger Straße 100, D-33098 Paderborn, Germany.
authors.forename: Regina
authors.initials: R
authors.lastname: Kruse
authors.affiliation: Applied Physics, University of Paderborn, Warburger Straße 100, D-33098 Paderborn, Germany.
authors.forename: Linda
authors.initials: L
authors.lastname: Sansoni
authors.affiliation: Applied Physics, University of Paderborn, Warburger Straße 100, D-33098 Paderborn, Germany.
authors.forename: Christine
authors.initials: C
authors.lastname: Silberhorn
authors.affiliation: FNSPE, Czech Technical University in Prague, Břehová 7, 115 19 Praha 1, Czech Republic.
authors.forename: Igor
authors.initials: I
authors.lastname: Jex