Transport in a One-Dimensional Superfluid: Quantum Nucleation of Phase Slips

H. P. Büchler; V. B. Geshkenbein; G. Blatter

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Transport in a One-Dimensional Superfluid: Quantum Nucleation of Phase Slips

H. P. Büchler·V. B. Geshkenbein·G. Blatter

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Abstract

We present an analytical derivation for the quantum decay rate of the superflow through a weak link in a one-dimensional Bose-Einstein-condensate. The effective action for the phase difference across the link reduces to that of a massive particle with damping subject to a periodic potential. We find an algebraic flow-pressure relation, characteristic for quantum nucleation of phase slips in the link and show how short-wave length fluctuations renormalizing the interaction between the Bosons remove the quantum phase transition expected in this class of systems.

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H. P. Büchler, V. B. Geshkenbein, G. Blatter. 1999-11-19. Transport in a One-Dimensional Superfluid: Quantum Nucleation of Phase Slips. https://arxiv.org/abs/cond-mat/9911301

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