The universal equation of state of a unitary fermionic gas

Abstract

It is suggested that for a fermi gas at unitarity, the two-body bond plays a special role. We propose an equation of state using an ansatz relating the interaction part of the $l$-body cluster to its two-body counterpart. This allows a parameter-free comparison with the recently measured equation of state by the ENS group. The agreement between the two over a range of fugacity ($z<5$ for a homogeneous gas, and $z<10$ for the trapped gas) leads us to perform the calculations of more sensitive quantities measured recently by the MIT group.

4 pages, 6 figures To be published in Physical Review Letters

References in corpus (4)

• Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
• The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions
• Virial expansion for a strongly correlated Fermi gas
• Natural and unnatural parity states of small trapped equal-mass two-component Fermi gases at unitarity and fourth-order virial coefficient

Cited by in corpus (8)

• High-temperature limit of the resonant Fermi gas
• Fisher zeros of a unitary Bose gas
• The virial expansion of attractively interacting Fermi gases in 1D, 2D, and 3D, up to fifth order
• Universality and itinerant ferromagnetism in rotating strongly interacting Fermi gases
• On the higher virial coefficients of a unitary Fermi gas
• Thermodynamic Properties of Universal Fermi Gases
• An Effective Series Expansion to the Equation of State of Unitary Fermi Gases
• A phenomenological approach to the equation of state of a unitary Fermi gas