Marcos Rigol, Alejandro Muramatsu
Published 2003-11-19, updated 2004-10-26Version 3
It is shown that the interplay of a confining potential with a periodic potential leads for free particles to states spatially confined on a fraction of the total extension of the system. A more complex `slicing' of the system can be achieved by increasing the period of the lattice potential. These results are especially relevant for fermionic systems, where interaction effects are in general strongly reduced for a single species at low temperatures.
Comments: Revtex file, 13 pages, 18 figures. References added. Published version
Journal: Phys. Rev. A 70, 043627 (2004)
Approach to asymptotically diffusive behavior for Brownian particles in periodic potentials : extracting information from transients
Brownian motion of free particles on curved surfaces
Hysteretic depinning of a particle in a periodic potential: phase diagram and criticality
