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Time-dependent density functional theory (TDDFT) is widely used for understanding and predicting properties and behaviors of matter. As one of the fundamental theorems in TDDFT, van Leeuwen's theorem [Phys. Rev. Lett. 82, 3863 (1999)]…

Statistical Mechanics · Physics 2024-03-08 Jiong-Hang Liang , Tian-Xing Hu , D. Wu , Zheng-Mao Sheng , J. Zhang

Time-dependent density functional theory (TDDFT) is a standard approach for calculating optical excitations of molecules and solids, while ensemble DFT (EDFT) is a promising alternative under development. We introduce ensemble TDDFT…

Chemical Physics · Physics 2026-05-22 Kimberly J. Daas , Steven Crisostomo , Kieron Burke

An approximate solution to the time-dependent density functional theory (TDDFT) response equations for finite systems is developed, yielding corrections to the single-pole approximation. These explain why allowed Kohn-Sham transition…

Materials Science · Physics 2009-11-07 H. Appel , E. K. U. Gross , K. Burke

The density linear response function for an inhomogeneous system of electrons in equilibrium with an array of fixed ions is considered. Two routes to its evaluation for extreme conditions (e.g., warm dense matter) are considered. The first…

Statistical Mechanics · Physics 2018-09-12 James Dufty , Kai Luo , S. B. Trickey

We present a new methodology for the linear-response time-dependent density functional theory (LR-TDDFT) calculation of the dynamic density response function of warm dense matter in an adiabatic approximation that can be used with any…

Computational Physics · Physics 2023-05-12 Zhandos A. Moldabekov , Michele Pavanello , Maximilian P. Boehme , Jan Vorberger , Tobias Dornheim

Time-dependent density-functional theory (TDDFT) is a formally exact approach to the time-dependent electronic many-body problem which is widely used for calculating excitation energies. We present a survey of the fundamental framework,…

Materials Science · Physics 2014-01-29 Carsten A. Ullrich , Zeng-hui Yang

We formulate a time-dependent density functional theory (TDDFT) in terms of the density matrix to study ultrafast phenomena in semiconductor structures. A system of equations for the density matrix components, which is equivalent to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Turkowski , C. A. Ullrich

The formalism of density functional theory (DFT) can be easily extended to the time dependent case (TDDFT). However, while in the static case the theory is well established and is expected to be, at least in principle, an exact approach for…

Condensed Matter · Physics 2007-05-23 Sandro Stringari

We present a range-separated linear-response time-dependent density-functional theory (TDDFT) which combines a density-functional approximation for the short-range response kernel and a frequency-dependent second-order Bethe-Salpeter…

Chemical Physics · Physics 2016-03-23 Elisa Rebolini , Julien Toulouse

Time-dependent density-functional theory (TDDFT) is an extension of ground-state density-functional theory which allows the treatment of electronic excited states and a wide range of time-dependent phenomena in the linear and nonlinear…

Materials Science · Physics 2025-10-10 Carsten A. Ullrich

Electronic response properties of high-energy density (HED) systems influence planetary structure, drive evolution of fusion targets, and underpin diagnostics in laboratory astrophysics. Real-time time-dependent density functional theory…

Plasma Physics · Physics 2025-11-19 Alina Kononov , Minh Nguyen , Andrew D. Baczewski

Time-dependent density-functional theory (TDDFT) is a computationally efficient first-principles approach for calculating optical spectra in insulators and semiconductors, including excitonic effects. We show how exciton wave functions can…

Materials Science · Physics 2020-12-29 Jared R. Williams , Nicolas Tancogne-Dejean , Carsten A. Ullrich

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…

Strongly Correlated Electrons · Physics 2008-11-11 Wei Li , Gao Xianlong , Corinna Kollath , Marco Polini

The general expectation that, in principle, time-dependent density functional theory (TDDFT) be an exact formulation of the time-evolution of an interacting N-electron system is critically reexamined. It is demonstrated that the previous…

Other Condensed Matter · Physics 2007-08-13 J. Schirmer , A. Dreuw

Time-dependent (TD) density functional theory (TDDFT) promises a numerically tractable account of many-body electron dynamics provided good simple approximations are developed for the exchange-correlation (XC) potential functional (XCPF).…

Other Condensed Matter · Physics 2008-08-29 Roi Baer

Time-Dependent Density Functional Theory (TDDFT) has recently been extended to describe many-body open quantum systems (OQS) evolving under non-unitary dynamics according to a quantum master equation. In the master equation approach,…

Chemical Physics · Physics 2015-05-18 David G. Tempel , Mark A. Watson , Roberto Olivares-Amaya , Alán Aspuru-Guzik

The response of an extended periodic system to a homogeneous field (of wave-vector $q=0$) cannot be obtained from a $q=0$ time-dependent density functional theory (TDDFT) calculation, because the Runge-Gross theorem does not apply.…

Materials Science · Physics 2016-08-31 Neepa T. Maitra , Ivo Souza , Kieron Burke

The real-time electronic dynamics on material surfaces is critically important to a variety of applications. However, their simulations have remained challenging for conventional methods such as the time-dependent density-functional theory…

Chemical Physics · Physics 2015-06-16 Rulin Wang , Dong Hou , Xiao Zheng

We propose a computationally efficient approach to the nonadiabatic time-dependent density functional theory (TDDFT) which is based on a representation of the frequency-dependent exchange correlation kernel as a response of a set of damped…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 Dmitry R. Gulevich , Yaroslav V. Zhumagulov , Alexei V. Vagov , Vasili Perebeinos

Within the framework of ab initio time-dependent density-functional theory (TD-DFT), we propose a static approximation to the exchange-correlation kernel based on the jellium-with-gap model. This kernel accounts for electron-hole…

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