Patterned Deposition of Particles in Spatio-temporally Driven Lattices
Benno Liebchen, Christoph Petri, Florian Lenz, Peter Schmelcher

TL;DR
This paper introduces a method for creating patterned particle deposition in driven lattices by breaking symmetry with phase shifts, enabling complex density profiles through controlled chaotic dynamics.
Contribution
It presents a novel approach to manipulate particle patterns in lattices using spatio-temporal symmetry breaking and frequency modulation techniques.
Findings
Patterned particle trapping achieved in chaotic seas.
Complex density profiles can be controlled via lattice deformation.
Symmetry breaking enables selective site deposition.
Abstract
We present and analyze mechanisms for the patterned deposition of particles in a spatio-temporally driven lattice. The working principle is based on the breaking of the spatio-temporal translation symmetry, which is responsible for the equivalence of all lattice sites, by applying modulated phase shifts to the lattice sites. The patterned trapping of the particles occurs in confined chaotic seas, created via the ramping of the height of the lattice potential. Complex density profiles on the length scale of the complete lattice can be obtained by a quasi-continuous, spatial deformation of the chaotic sea in a frequency modulated lattice.
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