Directed transport and localization in phase-modulated driven lattices

TL;DR

This paper investigates how phase modulation in driven lattices influences particle transport, revealing controllable superdiffusion, tunable directed currents, and mechanisms for transient localization.

Contribution

It introduces a method to manipulate classical phase space and particle dynamics in phase-modulated driven lattices, demonstrating controllable transport phenomena.

Findings

Superdiffusion observed across all parameter regimes.

Directed current can be generated and tuned by symmetry breaking.

Transient localization mechanisms are identified and analyzed.

Abstract

We explore the dynamics of non-interacting particles loaded into a phase-modulated one-dimensional lattice formed by laterally oscillating square barriers. Tuning the parameters of the driven unit cell of the lattice selected parts of the classical phase space can be manipulated in a controllable manner. We find superdiffusion in position space for all parameters regimes. A directed current of an ensemble of particles can be created through locally breaking the spatiotemporal symmetries of the time-driven potential. Magnitude and direction of the current are tunable. Several mechanisms for transient localization and trapping of particles in different wells of the driven unit cell are presented and analyzed.