title: Sonic horizon formation for oscillating Bose-Einstein condensates in isotropic harmonic potential.
abstract: We study the sonic horizon phenomena of the oscillating Bose-Einstein condensates in isotropic harmonic potential. Based on the Gross-Pitaevskii equation model and variational method, we derive the original analytical formula for the criteria and lifetime of the formation of the sonic horizon, demonstrating pictorially the interaction parameter dependence for the occur- rence of the sonic horizon and damping effect of the system distribution width. Our analytical results corroborate quantitatively the particular features of the sonic horizon reported in previous numerical study.
authors.affiliation: School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003, China.
authors.forename: Ying
authors.initials: Y
authors.lastname: Wang
authors.affiliation: School of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang 212003, China.
authors.forename: Yu
authors.initials: Y
authors.lastname: Zhou
authors.affiliation: Key Laboratory for Quantum Optics, Shanghai Institute of Optics and Fine Mechanics, The Chinese Academy of Sciences, Shanghai 201800, China.
authors.forename: Shuyu
authors.initials: S
authors.lastname: Zhou