Discrete and Continuous Dynamical Systems - B

Exact solution of the two-mode model of multicomponent Bose-Einstein condensates

Vadym E. Vekslerchik, Víctor M. Pérez‐García

Published Jan 1, 2003• 5 citations

Abstract

We find the explicit solution of the so-called two-mode model for multicomponent Bose-Einstein condensates. We prove that all the solutions are constants or periodic functions and give explicit formulae for them.

DOI: 10.3934/dcdsb.2003.3.179

Related papers

Exact solutions of the two-mode model of multicomponent Bose-Einstein condensates

Vadym E. Vekslerchik, Víctor M. Pérez‐García

We find the explicit solution of a two--mode model used to explain vortex dynamics in multicomponent Bose-Einstein condensates. We prove that all the solutions are constants or periodic functions and give explicit formulae for the time evolution of the populations of the two atomic species present in the condensate.

arXiv:cond-mat/0106535Jun 26, 20010 citations

Exact Analytical Solutions to the Two—Mode Mean—Field Model Describing Dynamics of a Split Bose—Einstein Condensate

WUYing, YANGXiao-Xue

We present the analytical solutions to the two-mode mean-field model for a split Bose Einstein condensate.These explicit solutions completely determine the system's dynamics under the two-mode mean-field approximation for all possible initial conditions.

理论物理通讯：英文版Jan 1, 20020 citations

Exact Analytical Solutions to the Two-Mode Mean-Field Model Describing Dynamics of a Split Bose–Einstein Condensate

Ying Wu, Xiaoxue Yang

We present the analytical solutions to the two-mode mean-field model for a split Bose–Einstein condensate. These explicit solutions completely determine the system's dynamics under the two-mode mean-field approximation for all possible initial conditions.

Communications in Theoretical PhysicsApr 15, 20029 citations

Two-mode theory of vortex stability in multicomponent Bose-Einstein condensates

Víctor M. Pérez‐García, Juan José García‐Ripoll

We study the stability and dynamics of vortices in two-species condensates using a two-mode model. The recent experimental results obtained at JILA [M. R. Matthews et al., Phys. Rev. Lett. 83, 2498 (1999)] and recent numerical simulations based on the Gross-Pitaevskii equations are explained using this simple model. We also make an exhaustive analysis of the stability properties of the system when the relative populations of the two species and/or their relative scattering lengths are changed and prove that stabilization of otherwise unstable configurations can be attained by controlling the relative population of both species.

arXiv:cond-mat/9912308Physical Review AAug 8, 200033 citations

SU（2） Coherent State Description of Two—Mode Bose—Einstein Condensates

WUYing, YANGXiao-Xue

We show that the evolution equations for mean quantities such as atom numbers and the inter-modecorrelation for two-mode Bose-Einstein condensates form a closed set of equations in the SU(2) coherent state description,and they are identical in form to the two-mode mean-field model with only a slightly reduced two-body interactionstrength. The exact analytical solutions to the evolution equations are also presented.

理论物理通讯：英文版Jan 1, 20020 citations

Analytical multisoliton solutions for multicomponent Bose–Einstein condensate systems with time- and space-controlled potentials

Jun Chen, Yun-xian Liu

Physics Letters ASep 1, 20142 citations