Generalized formula for the Landau-Zener transition in interacting Bose-Einstein condensates
Institute for Physical Research NAS of Armenia - 0203 Ashtarak-2, Armenia
Corresponding author: firstname.lastname@example.org
Accepted: 28 April 2010
We present a rigorous analysis of the generalized Landau-Zener problem for the two-level interacting Bose-Einstein condensates. We show that the dynamics of the system is accurately, in detail, described by a two-term variational ansatz that is valid for the whole time domain and is applicable for any set of involved parameters. Applying an exact third-order nonlinear differential equation we construct an advanced fifth-order polynomial equation for the final transition probability serving as a highly accurate generalized Landau-Zener formula.
PACS: 03.75.Nt – Other Bose-Einstein condensation phenomena / 33.80.Be – Level crossing and optical pumping / 73.40.Gk – Tunneling
© EPLA, 2010