Critical Behaviour in Trapped Strongly Interacting Fermi Gases

Abstract

We investigate the width of the Ginzburg critical region and experimental signatures of critical behavior in strongly interacting trapped Fermi gases close to unitarity, where the s-wave scattering length diverges. Despite the fact that the width of the critical region is of the order unity, evidence of critical behavior in the bulk thermodynamics of trapped gases is strongly suppressed by their inhomogeneity. The specific heat of a harmonically confined gas, for instance, is \textit{linear} in the reduced temperature $t=(T-T_{\mathrm{c}})/T_{\mathrm{c}}$ above $T_{\mathrm{c}}$. We also discuss the prospects of observing critical behavior in the local compressibility from measurements of the density profile.

6 pages, 2 figures

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• The equation of state of ultracold Bose and Fermi gases: a few examples
• Thermography of the superfluid transition in a strongly interacting Fermi gas
• Second sound and the density response function in uniform superfluid atomic gases
• Critical behaviours of contact near phase transitions
• Universal quantum behaviors of interacting fermions in 1D traps: from few particles to the trap thermodynamic limit
• Critical parameters from trap-size scaling in trapped particle systems
• Critical region of the superfluid transition in the BCS-BEC crossover
• Josephson effect at finite temperature along the BCS-BEC crossover
• Quench-induced spontaneous currents in rings of ultracold fermionic atoms
• Scaling phenomena driven by inhomogeneous conditions at first-order quantum transitions
• Tunneling spectra of unconventional quasi-two-dimensional superconductors