Frenkel-Kontorova model with cold trapped ions
Other Condensed Matter
2007-05-23 v1 Disordered Systems and Neural Networks
Chaotic Dynamics
Quantum Physics
Abstract
We study analytically and numerically the properties of one-dimensional chain of cold ions placed in a periodic potential of optical lattice and global harmonic potential of a trap. In close similarity with the Frenkel-Kontorova model, a transition from sliding to pinned phase takes place with the increase of the optical lattice potential for the density of ions incommensurate with the lattice period. Quantum fluctuations lead to a quantum phase transition and melting of pinned instanton glass phase at large values of dimensional Planck constant. The obtained results are also relevant for a Wigner crystal placed in a periodic potential.
Keywords
Cite
@article{arxiv.cond-mat/0606135,
title = {Frenkel-Kontorova model with cold trapped ions},
author = {I. Garcia-Mata and O. V. Zhirov and D. L. Shepelyansky},
journal= {arXiv preprint arXiv:cond-mat/0606135},
year = {2007}
}
Comments
RevTeX, 5 pages, 11 figures, research at http://www.quantware.ups-tlse.fr