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.

arXiv comment11 pages, 6 figures, submitted

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• Some open questions in TDDFT: Clues from Lattice Models and Kadanoff-Baym Dynamics
• Interacting fermions in 1D disordered lattices: Exploring localization and transport properties with lattice density-functional theories
• Dynamical self-stabilization of the Mott insulator: Time evolution of the density and entanglement entropy of out-of-equilibrium cold fermion gases
• Adiabatic and local approximations for the Kohn-Sham potential in time-dependent Hubbard chains
• Nonadiabatic Time-Dependent Spin-Density Functional Theory for strongly correlated systems
• Current Density Functional Theory for one-dimensional fermions
• Screening in YBCO at large wave vectors
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• Effects of interaction and polarization on spin-charge separation: A time-dependent spin-density-functional theory study
• Short-time Spin Dynamics in Strongly Correlated Few-fermion Systems
• Out-of-equilibrium dynamics of repulsive Fermi gases in quasi-periodic potentials: a Density Functional Theory study
• Three-dimensional dynamics of a fermionic Mott wedding-cake in clean and disordered optical lattices