Collective excitations in one-dimensional ultracold Fermi gases: a comparative study

TL;DR

This study demonstrates that the adiabatic local-spin-density approximation within TDDFT accurately captures collective excitations in strongly correlated one-dimensional ultracold Fermi gases, validated against DMRG results.

Contribution

It shows the effectiveness of a simple TDDFT approximation in modeling complex many-body dynamics in 1D ultracold Fermi gases.

Findings

TDDFT with adiabatic local-spin-density approximation is accurate for collective dynamics.

Results closely match those from the density-matrix renormalization-group method.

The approach simplifies studying non-equilibrium phenomena in strongly correlated systems.

Abstract

Time-dependent density-functional theory (TDDFT) is a powerful tool to study the non-equilibrium dynamics of inhomogeneous interacting many-body systems. Here we show that the simple adiabatic local-spin-density approximation for the time-dependent exchange-correlation potential is surprisingly accurate in describing collective density and spin dynamics in strongly correlated one-dimensional ultracold Fermi gases. Our conclusions are based on extensive comparisons between our TDDFT results and accurate results based on the adaptive time-dependent density-matrix renormalization-group method.