Thermodynamics of a Unitary Fermi gas

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Using the inverse Abel transform, the in-situ 3D density profile of a cloud of two-state 6Li atoms trapped in a potential with cylindrical symmetry can be derived. Following [M. Ku et al., Science 335, 563 (2012)] we reconstruct the equation of state of the system. In particular, local pressure and compressibility have been obtained for the unitary Fermi gas, revealing the superfluid transition.