Vortex and translational currents due to broken time-space symmetries

Details Vortex and translational currents due to broken time-space symmetries Vortex and translational currents due to broken time-space symmetries

2008-01-28

arxiv.org/abs/0801.4296v1

Phys. Rev. Lett. 100, 224102 (2008)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.100.224102

We consider the classical dynamics of a particle in a $d=2,3$-dimensional space-periodic potential under the influence of time-periodic external fields with zero mean. We perform a general time-space symmetry analysis and identify conditions, when the particle will generate a nonzero averaged translational and vortex currents. We perform computational studies of the equations of motion and of corresponding Fokker-Planck equations, which confirm the symmetry predictions. We address the experimentally important issue of current control. Cold atoms in optical potentials and magnetic traps are among possible candidates to observe these findings experimentally.

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