Localized States in a Periodic Potential with Harmonic Confinement
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Abstract
We analyze the one-dimensional problem of a particle placed in periodic potential with additional harmonic trapping within tight-binding approximation. We find the eigenstates localized on the sides of the harmonic trapping potential. We show that the existence of these states leads to the freezing of the dipole oscillation observed in the experiment of Cataliotti et al., Science 293, 843 (2001).
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References
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M. Inguscio - private communication