We discuss the relationship between bosonic stimulation, density fluctuations, and matter wave gratings. It is shown that enhanced stimulated scattering, matter wave amplification and atomic four-wave mixing are in principle possible for fermionic or non-degenerate samples if they are prepared in a cooperative state. In practice, there are limitations by short coherence times.
@article{arxiv.cond-mat/0008232,
title = {Does matter wave amplification work for fermions?},
author = {Wolfgang Ketterle and Shin Inouye},
journal= {arXiv preprint arXiv:cond-mat/0008232},
year = {2009}
}