Nonlinear Krönig-Penney model
Wei-Dong Li, A. smerzi
Abstract
We study the nonlinear Schrödinger equation with a periodic delta-function potential. This realizes a nonlinear Krönig-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 Krönig-Penney model. We also find new 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.
Create a lesson
Related papers
Ultrafast laser-stimulated field emission from a metal: a non-equilibrium Green's functions approach
Luciano Jacopo D'Onofrio, Adolfo Avella, Martin Eckstein
Three-dimensional dopant distribution from a single, out-of-focus spectroscopic image
Michael Deimetry, Timothy Petersen, Matthew Weyland et al.
A nonclassical law of the wall in superfluid helium-4
Mikai Hulse, Musfequs Salehin, Sosuke Inui et al.
Progress and Prospect of AI in ARPES Workflow
Sandy Adhitia Ekahana, Aalok Tiwari, Pratik Saud et al.
Magnon Polarization Textures and Transport in Antiferromagnets and Altermagnets
Konstantin S. Denisov, Igor Žutić
PT-symmetry as Effective Time Reversal Symmetry for Anderson Localization in a Collinear Antiferromagnet
Kim-Khuong Huynh, Takuma Ogasawara, Motoi Kimata et al.