Fractional-Period Excitations in Continuum Periodic Systems
arXiv:cond-mat/0510711 · doi:10.1103/PhysRevA.74.063617
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.
arXiv comment10 pages, 6 figures (some with multiple parts); revised version: minor clarifications of a couple points, to appear in Physical Review A
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