A Universal Energy Functional for Trapped Fermi Gases with Large Scattering Length

Details A Universal Energy Functional for Trapped Fermi Gases with Large Scattering Length A Universal Energy Functional for Trapped Fermi Gases with Large Scattering Length

2011-07-08

arxiv.org/abs/1107.1556v1

Phys. Rev. Lett. 107, 145302 (2011)

Physics

Condensed Matter

Quantum Gases

4 pages

Scientific paper

Yoram Alhassid conjectured that the total energy of a harmonically trapped two-component Fermi gas with large scattering length is a linear functional of the occupation probabilities of single-particle energy eigenstates. We confirm his conjecture and derive the functional explicitly. We show that the functional applies to ALL smooth potentials having a minimum, not just harmonic traps. We also calculate the occupation probabilities of high energy states.

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