| Issue |
EPL
Volume 90, Number 3, May 2010
|
|
|---|---|---|
| Article Number | 30007 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/90/30007 | |
| Published online | 28 May 2010 | |
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: aishkhanyan@gmail.com
Received:
14
December
2009
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
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