Spectrum and Dynamics of the BCS-BEC crossover from a few-body perspective

Physics – Condensed Matter – Superconductivity

Scientific paper

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4 pages, final version to appear in PRL

Scientific paper

10.1103/PhysRevLett.99.090402

The spectrum of two spin-up and two spin-down fermions in a trap is calculated using a correlated gaussian basis throughout the range of the BCS-BEC crossover. These accurate calculations provide a few-body solution to the crossover problem. This solution is used to study the time-evolution of the system as the scattering length is changed, mimicking experiments with Fermi gases near Fano-Feshbach resonances. The structure of avoiding crossings in the spectrum allow us to understand the dynamics of the system as a sequence of Landau-Zener transitions. Finally, we propose a ramping scheme to study atom-molecule coherence.

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