Abstract
We study the notion of superfluid critical velocity in one spatial dimension. It is shown that, for heavy impurities with mass exceeding a critical mass , the dispersion develops periodic metastable branches resulting in dramatic changes of dynamics in the presence of an external driving force. In contrast to smooth Bloch oscillations for , a heavy impurity climbs metastable branches until it reaches a branch termination point or undergoes a random tunneling event, both leading to an abrupt change in velocity and an energy loss. This is predicted to lead to a nonanalytic dependence of the impurity drift velocity on small forces.
- Received 1 November 2011
DOI:https://doi.org/10.1103/PhysRevLett.108.207001
© 2012 American Physical Society