Exact Results for Tunneling Problems of Bogoliubov Excitations in the Critical Supercurrent State

Details Exact Results for Tunneling Problems of Bogoliubov Excitations in the Critical Supercurrent State Exact Results for Tunneling Problems of Bogoliubov Excitations in the Critical Supercurrent State

2009-11-02

arxiv.org/abs/0911.0242v1

Journal of Low Temperature Physics (2009), DOI: 10.1007/s10909-009-0036-3

Physics

Condensed Matter

Quantum Gases

6 pages, 3 figures; Proceedings of QFS2009

Scientific paper

10.1007/s10909-009-0036-3

We show the exact solution of Bogoliubov equations at zero-energy in the critical supercurrent state for arbitrary shape of potential barrier. With use of this solution, we prove the absence of perfect transmission of excitations in the low-energy limit by giving the explicit expression of transmission coefficient. The origin of disappearance of perfect transmission is the emergence of zero-energy density fluctuation near the potential barrier.

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