Nonlinear adiabatic passage from fermion atoms to boson molecules

Details Nonlinear adiabatic passage from fermion atoms to boson molecules Nonlinear adiabatic passage from fermion atoms to boson molecules

2005-03-09

arxiv.org/abs/cond-mat/0503206v1

Phys. Rev. Lett. 95, 170403 (2005)

Physics

Condensed Matter

Other Condensed Matter

5 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.95.170403

We study the dynamics of an adiabatic sweep through a Feshbach resonance in a quantum gas of fermionic atoms. Analysis of the dynamical equations, supported by mean-field and many-body numerical results, shows that the dependence of the remaining atomic fraction $\Gamma$ on the sweep rate $\alpha$ varies from exponential Landau-Zener behavior for a single pair of particles to a power-law dependence for large particle number $N$. The power-law is linear, $\Gamma \propto \alpha$, when the initial molecular fraction is smaller than the 1/N quantum fluctuations, and $\Gamma \propto \alpha^{1/3}$ when it is larger. Experimental data agree better with a linear dependence than with an exponential Landau-Zener fit, indicating that many-body effects are significant in the atom-molecule conversion process.

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