%0 Journal Article %1 Li2008a %A Li, Wei %A Xianlong, Gao %A Kollath, Corinna %A Polini, Marco %D 2008 %I APS %J Physical Review B (Condensed Matter and Materials Physics) %K (electron); density exchange fermion functional interactions many-body problems; renormalisation systems; theory; %N 19 %P 195109 %R 10.1103/PhysRevB.78.195109 %T Collective excitations in one-dimensional ultracold Fermi gases: Comparative study %U http://link.aps.org/abstract/PRB/v78/e195109 %V 78 %X Time-dependent density-functional theory (TDDFT) is a powerful tool in studying the nonequilibrium 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.

@article{Li2008a, abstract = {Time-dependent density-functional theory (TDDFT) is a powerful tool in studying the nonequilibrium 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.}, added-at = {2010-01-22T12:15:18.000+0100}, author = {Li, Wei and Xianlong, Gao and Kollath, Corinna and Polini, Marco}, biburl = {https://www.bibsonomy.org/bibtex/25bb4054bd26943627fdb86ecc7abc0e8/myrta}, description = {Time dependent density functional theory; Memory effects kernel; breakdown adiabatic approximation}, doi = {10.1103/PhysRevB.78.195109}, eid = {195109}, file = {:home/cfc/myrta/VirtualLibrary/MemoryKernel/PhysRevB_78_195109.pdf:PDF}, interhash = {1dff75095cc3d41b99238f235ab120b5}, intrahash = {5bb4054bd26943627fdb86ecc7abc0e8}, journal = {Physical Review B (Condensed Matter and Materials Physics)}, keywords = {(electron); density exchange fermion functional interactions many-body problems; renormalisation systems; theory;}, number = 19, numpages = {9}, pages = 195109, publisher = {APS}, timestamp = {2010-01-22T12:15:20.000+0100}, title = {Collective excitations in one-dimensional ultracold Fermi gases: Comparative study}, url = {http://link.aps.org/abstract/PRB/v78/e195109}, volume = 78, year = 2008 }