Nonlinear Kronig-Penney model
Year: 2004
Authors: Li W.D., Smerzi A.
Autors Affiliation: Univ Trent, Ist Nazl Fis Mat BEC CRS, I-38050 Trento, Italy; Univ Trent, Dipartimento Fis, I-38050 Trento, Italy; Shanxi Univ, Dept Phys, Taiyuan 030006, Peoples R China; Shanxi Univ, Inst Theoret Phys, Taiyuan 030006, Peoples R China; Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA.
Abstract: We study the nonlinear Schrodinger equation with a periodic delta-function potential. This realizes a nonlinear Kronig-Penney model, with physical applications in the context of trapped Bose-Einstein condensate alkaly gases and in the transmission of signals in optical fibers. We find analytical solutions of zero-current Bloch states. Such wave functions have the same periodicity of the potential, and, in the linear limit, reduce to the Bloch functions of the Kronig-Penney model. We also find classes of solutions having a periodicity different from that of the external potential. We calculate the chemical potential of such states and compare it with the linear excitation spectrum.
Journal/Review: PHYSICAL REVIEW E
Volume: 70 (1) Pages from: 16605-1 to: 16605-4
KeyWords: Optical Lattices; EinsteinDOI: 10.1103/PhysRevE.70.016605Citations: 32data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-20References taken from IsiWeb of Knowledge: (subscribers only)