Fractional-Period Excitations in Continuum Periodic Systems

Details Fractional-Period Excitations in Continuum Periodic Systems Fractional-Period Excitations in Continuum Periodic Systems

2005-10-26

arxiv.org/abs/cond-mat/0510711v4

Physics

Condensed Matter

Other Condensed Matter

10 pages, 6 figures (some with multiple parts); revised version: minor clarifications of a couple points, to appear in Physica

Scientific paper

10.1103/PhysRevA.74.063617

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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