Hartree-Fock Theory of Dipolar Fermi Gases

Takafumi Kita

L. E. Reichl

D. Baillie, P. B. Blakie

We develop a practical Hartree-Fock theory for trapped Bose and Fermi gases that interact with dipole-dipole interactions. This theory is applicable at zero and finite temperature. Our approach is based on the introduction of local momentum distortion fields that characterize the exchange effects in terms of a local effective potential. We validate our theory against existing theories, finding excellent agreement with full Hartree-Fock calculations.

Horst-Dietrich Dietze

Ping Nang Ma, Sebastiano Pilati, Matthias Troyer +1 more

Cheng Zhao, Lei Jiang, Xunxu Liu +3 more

We apply the Hartree-Fock-Bogoliubov theory to a system of uniform dipolar fermionic polar molecules, which recently has attracted much attention due to rapid experimental progress in achieving such systems. By calculating the anisotropic superfluid-order parameter and the critical temperature ${T}_{c}$, we show that high-${T}_{c}$ superfluid can be achieved with a quite modest value of interaction strength for polar molecules. In addition, we also show that the presence of the Fock-exchange interaction enhances superfluid pairing.