Exact Temporal Evolution of Two-Species Bose-Einstein Condensates

E. Arimondo

Cong Zhang, Zhihai Zhang, Shi-Jie Yang

We construct exact stationary solutions to the one-dimensional coupled Gross—Pitaevskii equations for the two-species Bose—Einstein condensates with equal intraspecies and interspecies interaction constants. Three types of complex solutions as well as their soliton limits are derived. By making use of the SU(2) unitary symmetry, we further obtain analytical time-evolving solutions. These solutions exhibit spatiotemporal periodicity.

Merideth A. Frey

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.

Ma Luo, Bao Cheng-guang, Zhibing Li

Spin evolution of a mixture of two species of spin-1 Bose–Einstein condensates (Rb and Na) has been investigated rigorously. The Hamiltonian under the single-mode approximation (which is the only approximation in the present theory) has been solved exactly. Both analytical expressions and numerical results on the populations of spin components are obtained. Interference between the two species is found to depend sensitively on the initial states and the inter-species interaction. A number of phenomena arising from the interference have been predicted. In particular, periodic behaviour and the alternate appearances of a zone of oscillation and a long quiet zone are found.

Simsarian, Denschlag, Clark +6 more