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Dynamic Localization of Interacting Particles in an Anharmonic Potential

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arxiv 1212.2850 v1 pith:DDEQVUO2 submitted 2012-12-12 quant-ph cond-mat.other

Mark Herrera , Thomas M. Antonsen , Edward Ott , Shmuel Fishman This is my paper
classification quant-phcond-mat.other
keywords potentialanharmonicanharmonicityinteractionsquantumclassicalcompareconsistent
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We investigate the effect of anharmonicity and interactions on the dynamics of an initially Gaussian wavepacket in a weakly anharmonic potential. We note that depending on the strength and sign of interactions and anharmonicity, the quantum state can be either localized or delocalized in the potential. We formulate a classical model of this phenomenon and compare it to quantum simulations done for a self consistent potential given by the Gross-Pitaevskii Equation.

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