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Fractional-Period Excitations in Continuum Periodic Systems

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

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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H. E. Nistazakis, Mason A. Porter, P. G. Kevrekidis, D. J. Frantzeskakis, A. Nicolin, J. K. Chin. 2006-10-03. Fractional-Period Excitations in Continuum Periodic Systems. https://doi.org/10.1103/physreva.74.063617

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