Disentangling Pauli blocking of atomic decay from cooperative radiation and atomic motion in a 2D Fermi gas

Abstract

The observation of Pauli blocking of atomic spontaneous decay via direct measurements of the atomic population requires the use of long-lived atomic gases where quantum statistics, atom recoil and cooperative radiative processes are all relevant. We develop a theoretical framework capable of simultaneously accounting for all these effects in a regime where prior theoretical approaches based on semi-classical non-interacting or interacting frozen atom approximations fail. We apply it to atoms in a single 2D pancake or arrays of pancakes featuring an effective $\Lambda$ level structure (one excited and two degenerate ground states). We identify a parameter window in which a factor of two extension in the atomic lifetime clearly attributable to Pauli blocking should be experimentally observable in deeply degenerate gases with $\sim 10^3$ atoms. Our predictions are supported by observation of a number-dependent excited state decay rate on the ${}^1{\mathrm{S}}_0-{}^3{\mathrm{P}}_1$ transition in ${}^{87}$Sr atoms.

arXiv comment6 + 6 pages, 4 + 1 figures. comments welcome

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Cited by in corpus (3)

• Pauli blocking of atomic spontaneous decay
• Directional superradiance in a driven ultracold atomic gas in free-space
• Cooperative effects in dense cold atomic gases including magnetic dipole interactions