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arxiv: 1211.3779 · v1 · pith:VCVI5R63new · submitted 2012-11-16 · ❄️ cond-mat.quant-gas · nucl-th

The Unitary Fermi Gas in a Harmonic Trap and its Static Response

classification ❄️ cond-mat.quant-gas nucl-th
keywords densityfermifindleadingresponsestatictheoryunitary
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We use harmonically trapped systems to find the leading gradient corrections of the supefluid local density approximation (SLDA) - a density functional theory (DFT) describing the unitary Fermi gas (UFG). We find the leading order correction to be negative, and predict the q^2 coefficient of the long-range static response c = 1.5(3) - a factor of two smaller than predicted by mean-field theory - thereby establishing a new and experimentally measurably universal constant.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The odd fermion at the edge: odd-even staggering in the trapped, unitary Fermi gas

    cond-mat.quant-gas 2026-06 unverdicted novelty 6.0

    In the trapped unitary Fermi gas an odd particle number produces an edge-localized quasiparticle whose energy contribution scales as Q to the power 1/9.