Dynamics of Fermionic Four-Wave Mixing
arXiv:cond-mat/0212384 · doi:10.1103/PhysRevA.67.063611
Abstract
We study the dynamics of a beam of fermions diffracted off a density grating formed by fermionic atoms in the limit of a large grating. An exact description of the system in terms of particle-hole operators is developed. We use a combination of analytical and numerical methods to quantitatively explore the Raman-Nath and the Bragg regimes of diffraction. We discuss the limits in diffraction efficiency resulting from the dephasing of the grating due the distribution of energy states occupied by the fermions. We propose several methods to overcome these limits, including the novel technique of ``atom echoes''.
8 pages, 7 figures
References in corpus (15)
- Formation and Propagation of Matter Wave Soliton Trains
- Formation of a Matter-Wave Bright Soliton
- Dark Solitons in Bose-Einstein Condensates
- Atom--Molecule Coherence in a Bose-Einstein Condensate
- Two-species mixture of quantum degenerate Bose and Fermi gases
- Fermi-Bose quantum degenerate ^40 K - ^87 Rb mixture with attractive interaction
- Photoassociation of sodium in a Bose-Einstein condensate
- Sympathetic cooling of bosonic and fermionic Lithium gases towards quantum degeneracy
- Mach-Zehnder Bragg interferometer for a Bose-Einstein Condensate
- Generation of macroscopic pair-correlated atomic beams by four-wave mixing in Bose-Einstein condensates
- Does matter wave amplification work for fermions?
- Atomic four-wave mixing: fermions versus bosons
- Talbot Oscillations and Periodic Focusing in a One-Dimensional Condensate
- Four-wave mixing in degenerate atomic gases
- Diffraction of a superfluid Fermi gas by an atomic grating