title: Quantum and classical superballistic transport in a relativistic kicked-rotor system.
abstract: As an unusual type of anomalous diffusion behavior, (transient) superballistic transport is not well known but has been experimentally simulated recently. Quantum superballistic transport models to date are mainly based on connected sublattices which are constructed to have different properties. In this work, we show that both quantum and classical superballistic transport in the momentum space can occur in a simple periodically driven Hamiltonian system, namely, a relativistic kicked-rotor system with a nonzero mass term. The nonzero mass term essentially realizes a situation, now in the momentum space, in which two (momentum) sublattices with different dispersion relations (and hence different nature of on-site potential) are connected as a junction. It is further shown that the quantum and classical superballistic transport should occur under much different choices of the system parameters. The results are of interest to studies of anomalous transport, quantum and classical chaos, and the issue of quantum-classical correspondence.
authors.affiliation: Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, Singapore 117546, Republic of Singapore.
authors.forename: Qifang
authors.initials: Q
authors.lastname: Zhao
authors.affiliation: Centre for Quantum Technologies, National University of Singapore, Singapore 117543, Republic of Singapore and Department of Physics, University of Konstanz, 78457 Konstanz, Germany.
authors.forename: Cord A
authors.initials: CA
authors.lastname: Müller
authors.affiliation: Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, Singapore 117546, Republic of Singapore and NUS Graduate School for Integrative Sciences and Engineering, Singapore 117456, Republic of Singapore.
authors.forename: Jiangbin
authors.initials: J
authors.lastname: Gong
mesh_terms: D004058:Diffusion; D008962:Models, Theoretical; D011789:Quantum Theory