On the kinetic energy of unitary Fermi gas in a harmonic trap

TL;DR

This paper explores a computationally efficient orbital-free method to analyze the zero-temperature properties of a strongly interacting, dilute Fermi gas in a harmonic trap, providing insights into superfluid behavior at unitarity.

Contribution

The study introduces a reliable orbital-free approximation for the kinetic energy functional to investigate unitary Fermi gases in harmonic traps.

Findings

Provides a practical method for studying superfluid Fermi gases

Validates the orbital-free approach for zero-temperature properties

Offers a cost-effective alternative to traditional methods

Abstract

We have considered the orbital-free approximation of the kinetic energy functional to investigate the zero temperature properties of dilute harmonically trapped two component Fermi gas at unitarity. It is shown that our approach provides a realible and inexpensive method to study superfluid strongly interacting dilute Fermi gases.