Sonic black hole horizon dynamics for one dimensional Bose-Einstein condensate with quintic-order nonlinearity

• Main Authors: Ying Wang, Quan Cheng, Li Zhao, Wen Wen, Wei Wang
• Format: Article
• Language: English
• Published: Elsevier 2020-03-01
• Series: Results in Physics
• Subjects: Sonic horizon; Soliton; Cubic-quintic nonlinearity; Expansion method
• Online Access: http://www.sciencedirect.com/science/article/pii/S2211379719338094

We study the dynamics of sonic black hole horizon formation of quasi-one-dimensional (1D) Bose-Einstein condensate incorporating higher-order quintic nonlinear interaction. Based on the one dimensional Gross-Pitaevskii equation with nonlinearity up to the quintic order, we derived a novel analytical formula for the key dynamical variables of sonic horizon formation using the modified variational method and exact F-expansion method. We obtained good agreement between the key dynamical variables from the two different methods. The stabilization effects of higher-order nonlinear interaction along with the more precise location of the sonic horizon boundary were illustrated. The theoretical results obtained in this work can be used to guide relevant experimental observations of sonic black hole-related dynamics incorporating the effects of higher-order nonlinear interaction.