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

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.

11 pages, 6 figures, submitted

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Cited by in corpus (5)

• Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
• Real-time spin-charge separation in one-dimensional Fermi gases from generalized hydrodynamics
• Interacting fermions in 1D disordered lattices: Exploring localization and transport properties with lattice density-functional theories
• Screening in YBCO at large wave vectors
• Cold Fermi-gas with long range interaction in a harmonic trap