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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 | 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. | Source: | arXiv, cond-mat/0606135 | Services: | Forum | Review | PDF | Favorites |
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