Holographic dual of Cold Trapped Fermions

Details Holographic dual of Cold Trapped Fermions Holographic dual of Cold Trapped Fermions

2009-07-09

arxiv.org/abs/0907.1434v5

JHEP 0912:015,2009

Physics

High Energy Physics

High Energy Physics - Theory

22 page latex, v2:reference added, sec.7's title change. v3) c_V recalculated, v4)C_V T in all dimension is stressed v5) a ver

Scientific paper

10.1088/1126-6708/2009/12/015

We study cold fermionic atoms using the holographic principle. We note that current atomic experiments with massive fermions trapped in a harmonic potential in the unitarity limit behave as massless fermions thanks to the Thomas-Fermi approximation. We map the thermodynamics of strongly correlated massless fermion to that of the charged black hole and study the thermodynamics and transport properties of cold fermions at strong coupling at finite temperature and density. In cold limit, the specific heat of charged black hole is linear in $T$ independent of the dimensionality, which is reminiscent of Fermi liquids. The shear viscosity per particle is shown to be finite as a consequence of the non-vanishing of the entropy. We show that our holographic results compare favorably with most of the current atomic data.

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