| Issue |
EPL
Volume 111, Number 5, September 2015
|
|
|---|---|---|
| Article Number | 50008 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/111/50008 | |
| 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
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