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Article Dans Une Revue The European Physical Journal D : Atomic, molecular, optical and plasma physics Année : 2007

Frenkel-Kontorova model with cold trapped ions

Résumé

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.

Dates et versions

hal-00124293 , version 1 (12-01-2007)

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Ignacio Garcia-Mata, O. V. Zhirov, Dima Shepelyansky. Frenkel-Kontorova model with cold trapped ions. The European Physical Journal D : Atomic, molecular, optical and plasma physics, 2007, 41, pp.325. ⟨10.1140/epjd/e2006-00220-2⟩. ⟨hal-00124293⟩
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