Anomalous scattering of low-lying excitations in a spin-1 Bose-Einstein condensate

Shohei Watabe, Yusuke Kato

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1 Citation (Scopus)


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 (σ ∝ p4). These properties are common to the transverse spin wave and the Bogoliubov mode, which belong to different types of Nambu-Goldstone modes.

Original languageEnglish
Article number50008
JournalEurophysics Letters
Issue number5
Publication statusPublished - 2015 Sept 18
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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