title: Dark soliton pair of ultracold Fermi gases for a generalized Gross-Pitaevskii equation model.
abstract: We present the theoretical investigation of dark soliton pair solutions for one-dimensional as well as three-dimensional generalized Gross-Pitaevskii equation (GGPE) which models the ultracold Fermi gas during Bardeen-Cooper-Schrieffer-Bose-Einstein condensates crossover. Without introducing any integrability constraint and via the self-similar approach, the three-dimensional solution of GGPE is derived based on the one-dimensional dark soliton pair solution, which is obtained through a modified F-expansion method combined with a coupled modulus-phase transformation technique. We discovered the oscillatory behavior of the dark soliton pair from the theoretical results obtained for the three-dimensional case. The calculated period agrees very well with the corresponding reported experimental result [Weller et al., Phys. Rev. Lett. 101, 130401 (2008)PRLTAO0031-900710.1103/PhysRevLett.101.130401], demonstrating the applicability of the theoretical treatment presented in this work.
authors: School of Mathematics and Physics, Jiangsu University of Science and Technology, Jiangsu 212003, China.
authors: Ying
authors: Y
authors: Wang
authors: School of Mathematics and Physics, Jiangsu University of Science and Technology, Jiangsu 212003, China.
authors: Yu
authors: Y
authors: Zhou
authors: Key Laboratory for Quantum Optics, Shanghai Institute of Optics and Fine Mechanics, The Chinese Academy of Sciences, Shanghai 201800, China.
authors: Shuyu
authors: S
authors: Zhou
authors: Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China and Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026,China.
authors: Yongsheng
authors: Y
authors: Zhang