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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

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Universality in a 2-component fermi system at finite temperature.

¹Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195, USA.

Physical Review Letters

|March 16, 2007

Summary

Thermodynamic properties of Fermi systems near unitarity are universal. Calculations show the third virial coefficient is a universal number, relevant for neutron matter and atomic experiments.

Area of Science:

Quantum physics
Thermodynamics
Statistical mechanics

Background:

Understanding Fermi systems near the unitarity limit is crucial for nuclear physics and ultracold atomic gases.
Virial expansions are key for describing thermodynamic properties of dilute systems at high temperatures.
Universality in these properties suggests model-independent behavior.

Purpose of the Study:

To calculate the third virial coefficient (b3(T)) for a Fermi system at the unitarity limit.
To derive the energy density using virial expansion up to the third coefficient.
To explore the universality of thermodynamic properties in such systems.

Main Methods:

Model-independent finite temperature calculations.
Analysis of the virial expansion coefficients in the high-temperature Boltzmann regime.

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Focus on the unitarity limit where the 2-body scattering length approaches +/-infinity.

Main Results:

The third virial coefficient at the unitarity limit, b3(infinity), is found to be approximately 1.11, a universal number.
The energy density is derived up to the third virial expansion.
Demonstrated universality of virial coefficients for dilute Fermi systems.

Conclusions:

The calculated universal value of b3(infinity) provides a benchmark for theoretical and experimental studies.
Findings are applicable to dilute neutron matter and can be experimentally verified in ultracold Fermi gases near Feshbach resonances.