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29 March 2024
 
  » arxiv » cond-mat/0606135

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Frenkel-Kontorova model with cold trapped ions
I. Garcia-Mata ; O. V. Zhirov ; D. L. Shepelyansky ;
Date 6 Jun 2006
Subject Other; Disordered Systems and Neural Networks
AbstractWe 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.
Source arXiv, cond-mat/0606135
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