Boson-like quantum dynamics of association in ultracold Fermi gases

Details Boson-like quantum dynamics of association in ultracold Fermi gases Boson-like quantum dynamics of association in ultracold Fermi gases

2004-07-16

arxiv.org/abs/cond-mat/0407424v2

Optics Communications 264, 321 (2006).

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 2 figures, critical typo in Eq. (13) corrected

Scientific paper

We study the collective association dynamics of a cold Fermi gas of $2N$ atoms in $M$ atomic modes into a single molecular bosonic mode. The many-body fermionic problem for $2^M$ amplitudes is effectively reduced to a dynamical system of $\min\{N,M\}+1$ amplitudes, making the solution no more complex than the solution of a two-mode Bose-Einstein condensate and allowing realistic calculations with up to $10^4$ particles. The many-body dynamics is shown to be formally similar to the dynamics of the bosonic system under the mapping of boson particles to fermion holes, producing collective enhancement effects due to many-particle constructive interference. Dissociation rates are shown to enhance as the number of particles whereas association rates are enhanced as the number of holes, leading to boson-like collective behavior.

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