Vortex and translational currents due to broken time-space symmetries
arXiv:0801.4296 · doi:10.1103/PhysRevLett.100.224102
Abstract
We consider the classical dynamics of a particle in a -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.
4 pages, 2 figures
References in corpus (17)
- Brownian motors: noisy transport far from equilibrium
- Exploring phase coherence in a 2D lattice of Bose-Einstein condensates
- Directed current due to broken time-space symmetry
- Atomic quantum gases in Kagomé lattices
- Classical and Quantum Hamiltonian Ratchets
- Vortex rectification effects in films with periodic asymmetric pinning
- Phase-control of directed diffusion in a symmetric optical lattice
- Quasiperiodically driven ratchets for cold atoms
- Dissipation-induced symmetry breaking in a driven optical lattice
- Broken space-time symmetries and mechanisms of rectification of ac fields by nonlinear (non)adiabatic response
- Dipole-induced vortex ratchets in superconducting films with arrays of micromagnets
- Ferrofluids as thermal ratchets
- Rectification of current in ac-driven nonlinear systems and symmetry properties of the Boltzmann equation
- Rotation in an asymmetric multidimensional periodic potential due to colored noise
- Thermal ratchet effects in ferrofluids
- Influence of the lattice topography on a three-dimensional, controllable Brownian motor
- Breaking of general rotational symmetries by multi-dimensional classical ratchets
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- Freezing, accelerating and slowing directed currents in real time with superimposed driven lattices
- Directed motion of domain walls in biaxial ferromagnets under the influence of periodic external magnetic fields
- Multiple current reversals using superimposed driven lattices
- Controlling vortical motion of particles in two-dimensional driven superlattices
- Controlling transport of underdamped particles in two-dimensional driven Bravais lattices