Mechanism of Anomalous Tunneling in Condensed Bose System

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.

arXiv comment4 pages 1 figure

References in corpus (4)

• Anderson localization of elementary excitations in a one dimensional Bose-Einstein condensate
• Exact form of the Bogoliubov excitations in one-dimensional nonlinear Schrödinger equation
• Phase Dependence of Phonon Tunneling in Bosonic Superfluid-Insulator-Superfluid Junctions
• Bogoliubov Excitations in a Kronig-Penney Potential

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• Anomalous enhancement of quasiparticle current near a potential barrier in a Bose-Einstein condensate
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• Supercurrent induced by tunneling Bogoliubov excitations in a Bose-Einstein condensate
• Transmission of Excitations in a Spin-1 Bose-Einstein Condensate through a Barrier
• Anomalous tunneling of collective excitations and effects of superflow in the polar phase of a spin-1 spinor Bose-Einstein condensate
• Transmission and Reflection of Collective Modes in Spin-1 Bose-Einstein Condensate
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• Exact Results for Tunneling Problems of Bogoliubov Excitations in the Critical Supercurrent State
• Soliton-phonon scattering problem in 1D nonlinear Schrödinger systems with general nonlinearity
• Stability Criterion for Superfluidity based on the Density Spectral Function
• Perfect transmission of Higgs modes via antibound states
• Anomalous Scattering of Low-lying Excitations in a Spin-1 Bose-Einstein Condensate
• Perfect transmission and perfect reflection of Bogoliubov quasiparticles in a dynamically unstable Bose-Einstein condensate