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Fractional-period excitations in continuum periodic systems

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. 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
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
Record Number:CaltechAUTHORS:NISpra06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:NISpra06
Alternative URL:http://dx.doi.org/10.1103/PhysRevA.74.063617
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:02 Oct 2019 23:40

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