Four-wave mixing in degenerate Fermi gases: Beyond the undepleted pump approximation

T. Miyakawa, H. Christ, C. P. Search, P. Meystre

Research output: Contribution to journalArticlepeer-review


We analyze the full nonlinear dynamics of the four-wave mixing between an incident beam of fermions and a fermionic density grating. We find that when the number of atoms in the beam is comparable to the number of atoms forming the grating, the dephasing of that grating, which normally leads to the decay of its amplitude, is suppressed. Instead, the density grating and the beam density exhibit large nonlinear coupled amplitude oscillations. In this case, four-wave mixing can persist for much longer times compared to the case of negligible back action. We also evaluate the efficiency of the four-wave mixing and show that it can be enhanced by producing an initial density grating with an amplitude that is less than the maximum value. These results indicate that efficient four-wave mixing in fermionic alkali gases should be experimentally observable.

Original languageEnglish (US)
Pages (from-to)9
Number of pages1
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number6
StatePublished - 2003
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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