Published December 1, 2006
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Journal Article
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Fractional-period excitations in continuum periodic systems
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.
Additional Information
©2006 The American Physical Society. (Received 26 October 2005; revised 8 July 2006; published 18 December 2006) We thank Richard Rand for useful discussions. We also gratefully acknowledge support from the Gordon and Betty Moore Foundation (M.A.P.) and NSF-DMS-0204585, NSFDMS-0505663, NSF-DMS-0619492, and NSF-CAREER (P.G.K.).Files
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Identifiers
- Eprint ID
- 7279
- Resolver ID
- CaltechAUTHORS:NISpra06
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2007-01-25Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field