Superdiffusive nonequilibrium motion of an impurity in a Fermi sea

Hyungwon Kim, David A. Huse

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We treat the nonequilibrium motion of a single-impurity atom in a low-temperature single-species Fermi sea, interacting via a contact interaction. In the nonequilibrium regime, the impurity does a superdiffusive geometric random walk where the typical distance traveled grows with time as ∼td /(d +1 ) for the d-dimensional system with d2. For nonzero temperature T, this crosses over to diffusive motion at long times with diffusivity D∼T -(d -1 )/2. These results apply also to a nonzero concentration of impurity atoms as long as they remain dilute and nondegenerate.

Original languageEnglish (US)
Article number043603
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number4
StatePublished - Apr 6 2012

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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