Volume 111, Number 5, September 2015
|Number of page(s)||6|
|Published online||21 September 2015|
Anomalous scattering of low-lying excitations in a spin-1 Bose-Einstein condensate
1 Department of Physics, The University of Tokyo - Tokyo 113-0033, Japan
2 Department of Physics, Tokyo University of Science - Tokyo 162-8601, Japan
3 Department of Basic Science, The University of Tokyo - Tokyo 153-8902, Japan
Received: 21 April 2015
Accepted: 27 August 2015
We study the scattering of the transverse spin wave by an impurity potential in the ferromagnetic spin-1 Bose-Einstein condensate (BEC) by using the mean-field theory. We present a simpler framework of anomalous tunneling effect, the perfect transmission in the low-energy limit through an external potential barrier. The transverse spin wave obeys a Schrödinger-type equation; yet, the effects of the potential barrier on its transmission coefficient and on its scattering cross-section vanish in the low-energy limit. The modulus of the order parameter alone determines its transmission coefficient. The momentum p-dependence of the scattering cross-section σ exhibits a Rayleigh scattering type . These properties are common to the transverse spin wave and the Bogoliubov mode, which belong to different types of Nambu-Goldstone modes.
PACS: 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations / 03.75.Mn – Multicomponent condensates; spinor condensates / 75.40.Gb – Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.)
© EPLA, 2015
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.