Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

Transport properties of particles and waves in spatially periodic structures that are driven by
external time-dependent forces manifestly depend on the space–time symmetries of the …

We study the quantum version of a tilting and flashing Hamiltonian ratchet, consisting of a
periodic potential and a time-periodic driving field. The system dynamics is governed by a …

Quantum directed transport can be realized in noninteracting, deterministic, chaotic systems
by appropriately breaking the spatiotemporal symmetries in the potential. In this work, the …

We report the experimental observation of rectified momentum transport for a Bose-Einstein
condensate kicked at the Talbot time (quantum resonance) by an optical standing wave …

Using computer simulations, we demonstrate that the simplest vortex ratchet system for type-
II superconductors with artificial pinning arrays, a simple asymmetric potential array, exhibits …

The possibility of realizing a directed current for a quantum particle in a flashing asymmetric
potential is investigated. It is found that quantum resonances, where the value of the …

We present a comprehensive account of directed transport in one-dimensional Hamiltonian
systems with spatial and temporal periodicity. They can be considered as Hamiltonian …

Using the method of quantum trajectories, we study a quantum chaotic dissipative ratchet
appearing for particles in a pulsed asymmetric potential in the presence of a dissipative …

Low-order quantum resonances manifested by directed currents have been realized with
cold atoms. Here we show that by increasing the strength of an experimentally achievable …