Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-03-15
Phys. Rev. Lett. 93, 120409 (2004).
Physics
Condensed Matter
Statistical Mechanics
4 pages, 3 figures, final version accepted to Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.93.120409
We explain why the experimental efficiency observed in the conversion of ultracold Fermi gases of $^{40}$K and $^{6}$Li atoms into diatomic Bose gases is limited to 0.5 when the Feshbach resonance sweep rate is sufficiently slow to pass adiabatically through the Landau Zener transition but faster than ``the collision rate'' in the gas, and increases beyond 0.5 when it is slower. The 0.5 efficiency limit is due to the preparation of a statistical mixture of two spin-states, required to enable s-wave scattering. By constructing the many-body state of the system we show that this preparation yields a mixture of even and odd parity pair-states, where only even parity can produce molecules. The odd parity spin-symmetric states must decorrelate before the constituent atoms can further Feshbach scatter thereby increasing the conversion efficiency; ``the collision rate'' is the pair decorrelation rate.
Band Yehuda B.
Pazy Ehoud
Vardi Amichay
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