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A Protocol for Real-time 3D Single Particle Tracking

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Directed transport and localization in phase-modulated driven lattices.

Christoph Petri¹, Florian Lenz, Fotis K Diakonos

¹Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany. christoph.petri@physnet.uni-hamburg.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|May 21, 2010

Summary

We investigated particle dynamics in a phase-modulated 1D lattice, finding controllable superdiffusion and tunable directed currents by breaking symmetries. Particle localization and trapping mechanisms were also analyzed.

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Area of Science:

Quantum mechanics
Statistical physics
Condensed matter physics

Background:

Noninteracting particles in driven lattices exhibit complex dynamics.
Phase modulation and oscillating potentials offer tunable control over particle behavior.

Purpose of the Study:

To explore particle dynamics in a phase-modulated 1D lattice.
To investigate the creation and control of directed particle currents.
To analyze transient localization and trapping mechanisms.

Main Methods:

Simulating noninteracting particles in a 1D lattice with oscillating square barriers.
Tuning lattice parameters to manipulate classical phase space.
Breaking spatiotemporal symmetries to induce directed currents.

Main Results:

Superdiffusion observed in position space across all parameter regimes.
Tunable directed currents achieved by breaking lattice symmetries.
Identified mechanisms for transient particle localization and trapping.

Conclusions:

Phase-modulated 1D lattices provide a controllable platform for studying particle dynamics.
Symmetry breaking is a viable method for directing particle flow.
The system exhibits rich phenomena including superdiffusion and transient localization.