A local exchange theory for trapped dipolar gases

TL;DR

This paper introduces a local exchange Hartree-Fock theory for trapped dipolar gases, accurately capturing exchange effects at various temperatures with a computationally efficient approach validated against full calculations.

Contribution

It presents a novel local exchange Hartree-Fock method for dipolar gases that simplifies calculations while maintaining high accuracy compared to existing methods.

Findings

Excellent agreement with full Hartree-Fock calculations.

Applicable at both zero and finite temperatures.

Provides a practical tool for studying dipolar quantum gases.

Abstract

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.