Quantum phase slips are the primary excitations in one-dimensional
superfluids and superconductors at low temperatures. They have been well
characterized in most condensed-matter systems, and signatures of their
existence has been recently observed in superfluids based on quantum gases too.
In this review we briefly summarize the main results obtained on the
investigation of phase slips from superconductors to quantum gases. In
particular we focus our attention on recent experimental results of the
dissipation in one-dimensional Bose superfluids flowing along a shallow
periodic potential, which show signatures of quantum phase slips.Comment: 10 pages, 6 figure
