Holographic dual of cold trapped fermions

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.IZ thanks Hanyang university for hospitality. This work was supported in part by the WCU project of Korean Ministry of Education, Science and Technology (R33-2008-00010087-0). The work of IZ was supported in part by US-DOE grants DE-FG02-88ER40388 and DE-FG03-97ER4014. The work of SJS was supported in part by KOSEF Grant R01-2007-000-10214-0 and by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MEST) ( No. 20090063068)