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Half-Period Excitations in Continuum Periodic Systems | H. E. Nistazakis
; Mason A. Porter
; P. G. Kevrekidis
; D. J. Frantzeskakis
; A. Nicolin
; J. K. Chin
; | Date: |
26 Oct 2005 | Abstract: | We investigate the generation of half-period states in continuum periodic systems. As a prototypical example, we use a trapped Bose-Einstein condensate confined in a periodic optical-lattice potential. We show that when the potential is turned on sufficiently nonadiabatically, the system tries to reach its new ground state by transiting through states with periodicity half that of the lattice. The particularly intriguing characteristic of such states is that they cannot be captured by discrete systems such as the discrete nonlinear Schr{ödinger equation. We illustrate the origin of these states mathematically by treating them as superharmonic resonances of a parametrically forced Duffing oscillator and discuss their transient nature and potential observability. | Source: | arXiv, cond-mat/0510711 | Services: | Forum | Review | PDF | Favorites |
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