Collective excitations in one-dimensional ultracold Fermi gases: Comparative study

Wei Li, Gao Xianlong, Corinna Kollath, Marco Polini

Type: Article

Publication Date: 2008-11-11

Citations: 29

DOI: https://doi.org/10.1103/physrevb.78.195109

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.

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View
Physical Review B - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Time-Dependent Current-Density-Functional Theory of Spin-Charge Separation and Spin Drag in One-Dimensional Ultracold Fermi Gases	2008	Gao Xianlong Marco Polini Diego Rainis M. P. Tosi Giovanni Vignale
+ PDF Chat	Nonadiabatic time-dependent spin-density functional theory for strongly correlated systems	2013	Volodymyr Turkowski Talat S. Rahman
+	Time Dependent Density Functional Theory and Strongly Correlated Systems: Insight From Numerical Studies	2007	Claudio Verdozzi
+ PDF Chat	Nonadiabatic electron dynamics in time-dependent density functional theory at the cost of adiabatic local density approximation	2019	D. R. Gulevich Yaroslav Zhumagulov A. Vagov Vasili Perebeinos
+ PDF Chat	Nonequilibrium correlation dynamics in the one-dimensional Fermi-Hubbard model: A testbed for the two-particle reduced density matrix theory	2023	Stefan Donsa Fabian Lackner Joachim Burgdörfer M. Bönitz B. Kloss Ángel Rubio Iva Březinová
+	Non-equilibrium correlation dynamics in the one-dimensional Fermi-Hubbard model: A testbed for the two-particle reduced density matrix theory	2023	Stefan Donsa Fabian Lackner Joachim Burgdörfer M. Bönitz B. Kloss Ángel Rubio Iva Březinová
+	Dynamical Properties of Quasi-One-Dimensional Boson-Fermion Mixtures of Atoms in a Toroidal Potential	2013	Ryosuke Shibato Takushi Nishimura
+	Prevalence of the adiabatic exchange-correlation potential approximation in time-dependent density functional theory	2008	Roi Baer
+ PDF Chat	Prevalence of the adiabatic exchange-correlation potential approximation in time-dependent density functional theory	2009	Roi Baer
+	TDDFT and Strongly Correlated Systems: Insight From Numerical Studies	2007	Claudio Verdozzi
+ PDF Chat	Nonlocal and Nonadiabatic Effects in the Charge-Density Response of Solids: A Time-Dependent Density-Functional Approach	2018	Martin Panholzer Matteo Gatti Lucia Reining
+ PDF Chat	Nonequilibrium dynamics in the one-dimensional Fermi-Hubbard model: Comparison of the nonequilibrium Green-functions approach and the density matrix renormalization group method	2017	Niclas Schlünzen Jan‐Philip Joost F. Heidrich-Meisner M. Bönitz
+ PDF Chat	Dynamics of the Anderson impurity model: Benchmarking a nonadiabatic exchange-correlation potential in time-dependent density-functional theory	2019	Niklas Dittmann N. Helbig Dante M. Kennes
+ PDF Chat	Time-dependent density-functional description of nuclear dynamics	2016	Takashi Nakatsukasa Kenichi Matsuyanagi Masayuki Matsuo Kazuhiro Yabana
+ PDF Chat	Non-equilibrium quantum dynamics of ultra-cold atomic mixtures: the multi-layer multi-configuration time-dependent Hartree method for bosons	2013	Sven Krönke Lushuai Cao Oriol Vendrell Peter Schmelcher
+ PDF Chat	Nonadiabatic electron dynamics in time-dependent density-functional theory	2006	Carsten A. Ullrich I. V. Tokatly
+ PDF Chat	Time-dependent density-functional theory beyond the adiabatic approximation: Insights from a two-electron model system	2006	Carsten A. Ullrich
+ PDF Chat	<i>Colloquium</i> : Multiconfigurational time-dependent Hartree approaches for indistinguishable particles	2020	Axel U. J. Lode Camille Lévêque Lars Bojer Madsen Alexej I. Streltsov Ofir E. Alon
+ PDF Chat	Transcorrelated density matrix renormalization group	2020	Alberto Baiardi Markus Reiher
+ PDF Chat	Current Issues in Finite-T Density-Functional Theory and Warm-Correlated Matter †	2016	M. W. C. Dharma‐wardana

Works That Cite This (20)

Action	Title	Year	Authors
+ PDF Chat	Some open questions in TDDFT: Clues from lattice models and Kadanoff–Baym dynamics	2011	Claudio Verdozzi Daniel Karlsson M. Puig von Friesen C.‐O. Almbladh Ulf von Barth
+ PDF Chat	Nonadiabatic time-dependent spin-density functional theory for strongly correlated systems	2013	Volodymyr Turkowski Talat S. Rahman
+ PDF Chat	Current density functional theory for one‐dimensional fermions	2009	Michael Dzierzawa Ulrich Eckern Stefan Schenk Peter Schwab
+ PDF Chat	Cold Fermi gas with inverse square interaction in a harmonic trap	2010	Manas Kulkarni Alexander G. Abanov
+ PDF Chat	Persistent current and Drude weight for the one-dimensional Hubbard model from current lattice density functional theory	2012	Akinlolu Akande Stefano Sanvito
+ PDF Chat	Out-of-equilibrium dynamics of repulsive Fermi gases in quasiperiodic potentials: A density functional theory study	2018	Francesco Ancilotto Davide Rossini Sebastiano Pilati
+ PDF Chat	Time-Dependent Density-Functional Theory Meets Dynamical Mean-Field Theory: Real-Time Dynamics for the 3D Hubbard Model	2011	Daniel Karlsson A. Privitera Claudio Verdozzi
+ PDF Chat	Dynamical self-stabilization of the Mott insulator: Time evolution of the density and entanglement entropy of out-of-equilibrium cold fermion gases	2011	Daniel Karlsson Claudio Verdozzi Mariana M. Odashima K. Capelle
+ PDF Chat	Lattice density functional theory at finite temperature with strongly density-dependent exchange-correlation potentials	2012	Gao Xianlong Ahai Chen I. V. Tokatly Stefan Kurth
+	The Hubbard dimer: a density functional case study of a many-body problem	2015	Diego Carrascal Jaime Ferrer Justin C. Smith Kieron Burke

Works Cited by This (47)

Action	Title	Year	Authors
+	Bosonization and Strongly Correlated Systems	1999	Alexander O. Gogolin A. A. Nersesyan A. M. Tsvelik
+	Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions	2007	Maxim Khodas M. Pustilnik Alex Kamenev L. I. Glazman
+ PDF Chat	Fulde-Ferrell-Larkin-Ovchinnikov pairing in one-dimensional optical lattices	2008	Matteo Rizzi Marco Polini Miguel A. Cazalilla M. Reza Bakhtiari M. Tosi Rosario Fazio
+ PDF Chat	Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas	2007	Gao Xianlong Matteo Rizzi Marco Polini Rosario Fazio M. P. Tosi V. L. Campo K. Capelle
+ PDF Chat	Transition from a Strongly Interacting 1D Superfluid to a Mott Insulator	2004	Thilo Stöferle Henning Moritz C. Schori Michael Köhl Tilman Esslinger
+ PDF Chat	Density Functionals Not Based on the Electron Gas: Local-Density Approximation for a Luttinger Liquid	2003	Neemias Alves de Lima M. F. Silva L. N. Oliveira K. Capelle
+ PDF Chat	Confinement Induced Molecules in a 1D Fermi Gas	2005	Henning Moritz Thilo Stöferle Kenneth Günter Michael Köhl Tilman Esslinger
+ PDF Chat	Many-body physics with ultracold gases	2008	Immanuel Bloch Jean Dalibard W. Zwerger
+ PDF Chat	Density-functional study of the Mott gap in the Hubbard model	2002	Neemias Alves de Lima L. N. Oliveira K. Capelle
+ PDF Chat	Collective intersubband transitions in quantum wells: A comparative density-functional study	1998	Carsten A. Ullrich Giovanni Vignale