title: Transport properties of continuous-time quantum walks on Sierpinski fractals.
abstract: We model quantum transport, described by continuous-time quantum walks (CTQWs), on deterministic Sierpinski fractals, differentiating between Sierpinski gaskets and Sierpinski carpets, along with their dual structures. The transport efficiencies are defined in terms of the exact and the average return probabilities, as well as by the mean survival probability when absorbing traps are present. In the case of gaskets, localization can be identified already for small networks (generations). For carpets, our numerical results indicate a trend towards localization, but only for relatively large structures. The comparison of gaskets and carpets further implies that, distinct from the corresponding classical continuous-time random walk, the spectral dimension does not fully determine the evolution of the CTQW.
authors.affiliation: Wigner RCP, SZFKI, Konkoly-Thege Miklós út 29-33, H-1121 Budapest, Hungary and Eötvös University, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary.
authors.forename: Zoltán
authors.initials: Z
authors.lastname: Darázs
authors.affiliation: Physikalisches Institut, Universität Freiburg, Hermann-Herder-Straße 3, 79104 Freiburg, Germany.
authors.forename: Anastasiia
authors.initials: A
authors.lastname: Anishchenko
authors.affiliation: Wigner RCP, SZFKI, Konkoly-Thege Miklós út 29-33, H-1121 Budapest, Hungary.
authors.forename: Tamás
authors.initials: T
authors.lastname: Kiss
authors.affiliation: Physikalisches Institut, Universität Freiburg, Hermann-Herder-Straße 3, 79104 Freiburg, Germany.
authors.forename: Alexander
authors.initials: A
authors.lastname: Blumen
authors.affiliation: Physikalisches Institut, Universität Freiburg, Hermann-Herder-Straße 3, 79104 Freiburg, Germany.
authors.forename: Oliver
authors.initials: O
authors.lastname: Mülken
mesh_terms: D017709:Fractals; D011789:Quantum Theory