Features of the Motion of Ultracold Atoms in Quasiperiodic Potentials
Abstract
We consider here quasiperiodic potentials on the plane, which can serve as a "transitional link" between ordered (periodic) and chaotic (random) potentials. As can be shown, in almost any family of quasiperiodic potentials depending on a certain set of parameters, it is possible to distinguish a set (in the parameter space) where, according to a certain criterion, potentials with features of ordered potentials arise, and a set where we have potentials with features of random potentials. These sets complement each other in the complete parameter space, and each of them has its own specific structure. The difference between "ordered" and "chaotic" potentials will manifest itself, in particular, in the transport properties at different energies, which we consider here in relation to systems of ultracold atoms. It should be noted here also that the transport properties of particles in the considered potentials can be accompanied by the phenomena of "partial integrability" inherent in twodimensional Hamiltonian systems.
 Publication:

Soviet Journal of Experimental and Theoretical Physics
 Pub Date:
 December 2021
 DOI:
 10.1134/S1063776121120025
 arXiv:
 arXiv:2108.13737
 Bibcode:
 2021JETP..133..711D
 Keywords:

 Mathematical Physics;
 Condensed Matter  Quantum Gases
 EPrint:
 29 pages, 34 figures, revtex