title: Breakdown of an electric-field driven system: a mapping to a quantum walk.
abstract: Quantum transport properties of electron systems driven by strong electric fields are studied by mapping the Landau-Zener transition dynamics to a quantum walk on a semi-infinite one-dimensional lattice with a reflecting boundary, where the sites correspond to energy levels and the boundary the ground state. Quantum interference induces a distribution localized around the ground state, and a delocalization transition occurs when the electric field is increased, which describes the dielectric breakdown in the original electron system.
authors.affiliation: Department of Physics, University of Tokyo, Tokyo 113-0033, Japan.
authors.forename: Takashi
authors.initials: T
authors.lastname: Oka
authors.forename: Norio
authors.initials: N
authors.lastname: Konno
authors.forename: Ryotaro
authors.initials: R
authors.lastname: Arita
authors.forename: Hideo
authors.initials: H
authors.lastname: Aoki