The S-FFT calculation of Collins formula and its application in digital holography |
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Authors: | J C Li J Zhu Z J Peng |
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Institution: | (1) Laboratoire de Physique Théorique, UMR 5152 du CNRS, Univ. P. Sabatier, 31062 Toulouse, France;(2) Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia |
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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. We show that at zero temperature the quantum
fluctuations lead to a quantum phase transition
and melting of pinned instanton glass phase at large values of dimensional Planck constant.
After melting the ion chain can slide in an optical lattice.
The obtained results are also relevant for a Wigner crystal placed
in a periodic potential. |
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Keywords: | 32 80 Lg Mechanical effects of light on atoms molecules and ions 32 80 Pj Optical cooling of atoms trapping 63 70 +h Statistical mechanics of lattice vibrations and displacive phase transitions 61 44 Fw Incommensurate crystals |
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