Abstract
We have studied the localization of multivibrational states in the one-dimensional boson system with on-site random anharmonicity. By introducing site basis states (local representation) we were able, in the limit of \ensuremath{\Delta}/\ensuremath{\Gamma}\ifmmode\bar\else\textasciimacron\fi{}\ensuremath{\ll}1, where \ensuremath{\Delta} is the coupling interaction between the nearest neighbors and \ensuremath{\Gamma}\ifmmode\bar\else\textasciimacron\fi{} is the average on-site anharmonic energy, to reduce the problem to Anderson-like model for a one-dimensional electron system with diagonal disorder. Assuming a Cauchy distribution for on-site anharmonicity, we have calculated the degree of localization. It is shown that the degree of localization increases with the increase of the randomness.
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