Transport in a One-Dimensional Superfluid: Quantum Nucleation of Phase Slips
Mesoscale and Nanoscale Physics
2007-05-23 v1 Superconductivity
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.
Cite
@article{arxiv.cond-mat/9911301,
title = {Transport in a One-Dimensional Superfluid: Quantum Nucleation of Phase Slips},
author = {H. P. Büchler and V. B. Geshkenbein and G. Blatter},
journal= {arXiv preprint arXiv:cond-mat/9911301},
year = {2007}
}
Comments
4pages, RevTex, 2 Postscript figures