2007/12/31 by Wenhua Hai, Shiguang Rong, Qianquan Zhu
Mathematics · Physics and Astronomy · #Bose–Einstein condensate #Bounded function #Chaotic #Chaotic mixing #Cold Atom Physics and Bose-Einstein Condensates #Gaussian #Mathematical analysis #Mathematics #Mixing (physics) #Optical lattice #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Random lasers and scattering media #Rectangular potential barrier #Statistical physics #Superfluidity #Wave packet #cond-mat.other
paper · pdf · doi:10.1103/physreve.78.066214
published as Phys. Rev. E 78, 066214 (2008) · 7 pages, 5 figures
openalex publication_date 2008/12/23 · arxiv created 2009/01/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We examine spatial chaos in a one-dimensional attractive Bose-Einstein condensate interacting with a Gaussian-like laser barrier and perturbed by a weak optical lattice. For a low laser barrier, chaotic regions of the parameters are demonstrated and the chaotic and regular states are illustrated numerically. In the high-barrier case, bounded perturbed solutions that describe a set of discrete chaotic states are constructed for discrete barrier heights and magic numbers of condensed atoms. Chaotic density profiles are exhibited numerically for the lowest quantum number, and analytically bounded but numerically unbounded Gaussian-like configurations are confirmed. It is shown that the chaotic wave packets can be controlled experimentally by adjusting the laser barrier potential.