Exact periodic and solitonic states in the spinor condensates

2013/05/02 by Zhihai Zhang, Zhang, Zhi-Hai, Shi-Jie Yang +1
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Information and Cryptography #Strong Light-Matter Interactions

paper · pdf · doi:10.48550/arxiv.1305.0372

openalex publication_date 2013/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a method to analytically solve the one-dimensional coupled nonlinear Gross-Pitaevskii equations which govern the motion of the spinor Bose-Einstein condensates. In a uniform external potential, the Hamiltonian comprises the kinetic energy, the linear and the quadratic Zeeman energies. Several classes of exact periodic and solitonic solutions, either in real or in complex forms, are obtained for both the F=1 and F=2 condensates. These solutions are general that contain neither approximations nor constraints on the system parameters.

Related

• Exact soliton solutions and nonlinear modulation instability in spinor Bose-Einstein condensates
• Exact solutions for periodic and solitary matter waves in nonlinear lattices
• More General Soliton Solution for Vectorial Bose-Einstein Condensate
• Ground State Solutions of the Complex Gross Pitaevskii Equation\n Associated to Exciton-Polariton Bose-Einstein Condensates
• Stationary states of Bose-Einstein condensates in single- and multi-well trapping potentials