2009/12/23 by Jan Naudts, Winny O’Kelly de Galway, Winny O'Kelly de Galway · 6 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Basis (linear algebra) #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Field (mathematics) #Function (biology) #Geometry #Hamiltonian (control theory) #Mathematical analysis #Mathematical optimization #Mathematics #Nonlinear Photonic Systems #Physics #Pure mathematics #Quantum mechanics #Quantum optics and atomic interactions #Set (abstract data type) #Time evolution #quant-ph
paper · pdf · doi:10.1016/j.physd.2010.11.003
published in Physica D Nonlinear Phenomena 240(6), 542-545 (Elsevier BV) · 8 pages, 4 figures
arxiv created 2009/12/23 · openalex publication_date 2010/11/24 · arxiv updated 2015/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This paper generalizes some known solitary solutions of a time-dependent Hamiltonian in two ways: The time-dependent field can be an elliptic function, and the time evolution is obtained for a complete set of basis vectors. The latter makes it feasible to consider arbitrary initial conditions. The former makes it possible to observe a beating caused by the non-linearity of the driving field.