Nistazakis, H. E. and Porter, Mason A. and Kevrekidis, P. G. and Frantzeskakis, D. J. and Nicolin, A. and Chin, J. K. (2006) Fractional-period excitations in continuum periodic systems. Physical Review A, 74 (6). Art. No. 063617. ISSN 1050-2947. doi:10.1103/PhysRevA.74.063617. https://resolver.caltech.edu/CaltechAUTHORS:NISpra06
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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 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.
| Item Type: | Article | ||||||
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| 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.). | ||||||
| Subject Keywords: | Bose-Einstein condensation; resonant states; oscillators | ||||||
| Issue or Number: | 6 | ||||||
| DOI: | 10.1103/PhysRevA.74.063617 | ||||||
| Record Number: | CaltechAUTHORS:NISpra06 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:NISpra06 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 7279 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Archive Administrator | ||||||
| Deposited On: | 25 Jan 2007 | ||||||
| Last Modified: | 08 Nov 2021 20:41 |
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