Light scattering in Cooper-paired Fermi atoms

Abstract

We present a detailed theoretical study of light scattering off superfluid trapped Fermi gas of atoms at zero temperature. We apply Nambu-Gorkov formalism of superconductivity to calculate the response function of superfluid gas due to stimulated light scattering taking into account the final state interactions. The polarization of light has been shown to play a significant role in response of Cooper-pairs in the presence of a magnetic field. Particularly important is a scheme of polarization-selective light scattering by either spin-component of the Cooper-pairs leading to the single-particle excitations of one spin-component only. These excitations have a threshold of $2\Delta$ where $\Delta$ is the superfluid gap energy. Furthermore, polarization-selective light scattering allows for unequal energy and momentum transfer to the two partner atoms of a Cooper-pair. In the regime of low energy ($<<2\Delta$) and low momentum ($<2\Delta /(\hslash v_F)$, $v_F$ being the Fermi velocity) transfer, a small difference in momentum transfers to the two spin-components may be useful in exciting Bogoliubov-Anderson phonon mode. We present detailed results on the dynamic structure factor (DSF) deduced from the response function making use of generalized fluctuation-dissipation theorem. Model calculations using local density approximation for trapped superfluid Fermi gas shows that when the energy transfer is less than $2{\Delta }_0$, where ${\Delta }_0$ refers to the gap at the trap center, DSF as a function of energy transfer has reduced gradient compared to that of normal Fermi gas.

single column, 26 pages, 10 figures; Title changed, discussion on experimental implication added in concluding section. Accepted for publication in J. Phys. B

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Cited by in corpus (5)

• Bragg Spectroscopy of Cold Atomic Fermi Gases
• Bragg scattering of Cooper pairs in an ultra-cold Fermi gas
• Dynamic structure factor of Fermi superfluid in the BEC-BCS crossover
• Finite temperature effects in light scattering off Cooper-paired Fermi atoms
• A model study on superfluidity of a unitary Fermi gas of atoms interacting with a finite-ranged potential