Publication Date

2006

Journal or Book Title

Physical Review A

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 nonadiabatically, 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.

DOI

https://doi.org/10.48550/arXiv.cond-mat/0510711

Volume

74

Issue

6

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