Mechanism of Anomalous Tunneling in Condensed Bose System
Yusuke Kato, Hiroshi Nishiwaki, and Akitake Fujita
TL;DR
This paper explains the origin of anomalous tunneling in Bose condensates, showing that perfect low-energy phonon transmission occurs due to wave function coincidence, even at finite temperatures within the Popov approximation.
Contribution
It provides a detailed theoretical analysis of anomalous tunneling, clarifying its origin and demonstrating its persistence at finite temperatures.
Findings
Perfect transmission results from wave function coincidence.
Anomalous tunneling persists at finite temperatures.
The phenomenon is explained within the Popov approximation.
Abstract
We clarify the origin of anomalous tunneling [Yu. Kagan et al. Phys. Rev. Lett. 90 (2003) 130402] i.e. the perfect transmission at low energy limit of tunneling of phonon excitations across the potential barrier separating two Bose condensates. The perfect transmission is a consequence of the coincidence of the wave function of the excited state at low energy limit and the macroscopic wave function of the condensate. We show that the perfect transmission at low energy occurs even at finite temperatures within the scheme of Popov approximation.
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