Frenkel-Kontorova model with cold trapped ions

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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.
RevTeX, 5 pages, 11 figures, research at http://www.quantware.ups-tlse.fr

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Other Condensed Matter, Disordered Systems and Neural Networks, Chaotic Dynamics, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/122719

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0606135
 http://arxiv.org/abs/cond-mat/0606135
 Eur. Phys. J. D 41, 325 (2007)
 doi:10.1140/epjd/e2006-00220-2

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arXiv