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Abstract: We investigate the transmission and reflection of Bose-condensate excitationsin the low energy limit across a potential barrier separating two condensateswith different densities. The Bogoliubov excitation in the low energy limit hasthe incident angle where the perfect transmission occurs. This conditioncorresponds to the Brewster-s law for the electromagnetic wave. The totalinternal reflection of the Bogoliubov excitation is found to occur at a largeincident angle in the low energy limit. The anomalous tunneling named by Kaganet al. Yu. Kagan et al., Phys. Rev. Lett., 90, 130402 2003 can beunderstood in terms of the impedance matching. In the case of the normalincidence, comparison with the results in Tomonaga-Luttinger liquids is made.



Author: Shohei Watabe, Yusuke Kato

Source: https://arxiv.org/







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