Reflection and Refraction of Bose-condensate Excitations

Details Reflection and Refraction of Bose-condensate Excitations Reflection and Refraction of Bose-condensate Excitations

2008-02-26

arxiv.org/abs/0802.3794v2

Phys. Rev. A 78, 063611 (2008)

Physics

Condensed Matter

Other Condensed Matter

23 pages, 5 figures

Scientific paper

10.1103/PhysRevA.78.063611

We investigate the transmission and reflection of Bose-condensate excitations in the low energy limit across a potential barrier separating two condensates with different densities. The Bogoliubov excitation in the low energy limit has the incident angle where the perfect transmission occurs. This condition corresponds to the Brewster's law for the electromagnetic wave. The total internal reflection of the Bogoliubov excitation is found to occur at a large incident angle in the low energy limit. The anomalous tunneling named by Kagan et al. [Yu. Kagan et al., Phys. Rev. Lett., 90, 130402 (2003)] can be understood in terms of the impedance matching. In the case of the normal incidence, comparison with the results in Tomonaga-Luttinger liquids is made.

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