Quantum ripples over a semiclassical shock

Eldad Bettelheim*, Leonid Glazman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

44 Scopus citations


The evolution of an initially smooth spatial inhomogeneity in the density of a one-dimensional Fermi gas is well described by classical mechanics. The classical evolution leads to the formation of a shock wave: the density develops kinks in its coordinate dependence. We show that quantum corrections to the shock wave produce density ripples which run off the kinks. Despite their quantum origin, the amplitude and period of the ripples are expressed only in terms of classical objects derived from a smooth density profile.

Original languageAmerican English
Article number260602
JournalPhysical Review Letters
Issue number26
StatePublished - 26 Dec 2012


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