Fractional-Period Excitations in Continuum Periodic Systems

A. Nicolin; D. J. Frantzeskakis; H. E. Nistazakis; J. K. Chin; Mason A. Porter; P. G. Kevrekidis

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Fractional-Period Excitations in Continuum Periodic Systems

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arxiv cond-mat/0510711 v4 pith:DMYYMKZQ submitted 2005-10-26 cond-mat.other nlin.PSphysics.atom-ph

H. E. Nistazakis , Mason A. Porter , P. G. Kevrekidis , D. J. Frantzeskakis , A. Nicolin , J. K. Chin This is my paper

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keywords statesfractional-periodpotentialcontinuumperiodicsystemstransientanalytically

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We investigate the generation of fractional-period states in continuum periodic systems. As an example, we consider a Bose-Einstein condensate confined in an optical-lattice potential. We show that when the potential is turned on non-adiabatically, the system explores a number of transient states whose periodicity is a fraction of that of the lattice. We illustrate the origin of fractional-period states analytically by treating them as resonant states of a parametrically forced Duffing oscillator and discuss their transient nature and potential observability.

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