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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…

Time-dependent density functional theory (TDDFT) simulations of transient core-level spectroscopies require a balanced treatment of both valence- and core-electron excitations. To this end, tuned range-separated hybrid exchange-correlation…

材料科学 · 物理学 2020-06-04 C. D. Pemmaraju

We formulate the Kohn-Sham density functional theory (KS-DFT) as a statistical theory in which the electron density is deter-mined from an average of correlated stochastic densities in a trace formula. The key idea is that it is sufficient…

材料科学 · 物理学 2015-06-15 Roi Baer , Daniel Neuhauser , Eran Rabani

Understanding many processes, e.g. fusion experiments, planetary interiors and dwarf stars, depends strongly on microscopic physics modeling of warm dense matter (WDM) and hot dense plasma. This complex state of matter consists of a…

计算物理 · 物理学 2020-08-05 Alexander J. White , Lee A. Collins

We explore a new formalism to study the nonlinear electronic density response based on Kohn-Sham density functional theory (KS-DFT) at partially and strongly quantum degenerate regimes. It is demonstrated that the KS-DFT calculations are…

等离子体物理 · 物理学 2022-05-10 Zhandos Moldabekov , Jan Vorberger , Tobias Dornheim

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,…

化学物理 · 物理学 2015-05-18 David G. Tempel , Mark A. Watson , Roberto Olivares-Amaya , Alán Aspuru-Guzik

This chapter provides a basic introduction to excited-state extensions of density functional theory (DFT), including time-dependent (TD-)DFT in both its linear-response and its explicitly time-dependent formulations. As applied to the…

化学物理 · 物理学 2023-05-02 John M. Herbert

A stochastic approach to time-dependent density functional theory (TDDFT) is developed for computing the absorption cross section and the random phase approximation (RPA) correlation energy. The core idea of the approach involves…

化学物理 · 物理学 2016-11-04 Yi Gao , Daniel Neuhauser , Roi Baer , Eran Rabani

A hybrid Kohn-Sham Density Functional Theory (KS-DFT) and 1-electron Reduced Density Matrix Functional Theory (1-RDMFT) has recently been developed to describe strongly correlated systems at mean-field computational cost. This approach…

计算物理 · 物理学 2025-04-14 Daniel Gibney , Jan-Niklas Boyn

Linear-response time-dependent Density Functional Theory (LR-TDDFT) is a widely used method for accurately predicting the excited-state properties of physical systems. Previous works have attempted to accelerate LR-TDDFT using heterogeneous…

硬件体系结构 · 计算机科学 2025-04-07 Qingcai Jiang , Buxin Tu , Xiaoyu Hao , Junshi Chen , Hong An

Real-time time-dependent density functional theory (rt-TDDFT) is a well-established method for studying the dynamic response of matter in the femtosecond or optical range. In this method, the Kohn-Sham (KS) wave functions are propagated…

计算物理 · 物理学 2025-09-03 Jakub Fojt , Tuomas P. Rossi , Paul Erhart

The particle-hole interaction problem is longstanding within time-dependent density functional theory (TDDFT) and leads to extreme errors in the prediction of K-edge X-ray absorption spectra (XAS). We derive a linear-response formalism that…

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…

化学物理 · 物理学 2026-05-22 Kimberly J. Daas , Steven Crisostomo , Kieron Burke

We propose a machine learning based approach to develop the exchange-correlation potential of time dependent density functional theory (TDDFT). The neural network projection from the time-varying electron densities to the corresponding…

计算物理 · 物理学 2020-05-20 Yasumitsu Suzuki , Ryo Nagai , Jun Haruyama

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…

材料科学 · 物理学 2009-11-07 H. Appel , E. K. U. Gross , K. Burke

Linear-scaling implementations of density functional theory (DFT) reach their intended efficiency regime only when applied to systems having a physical size larger than the range of their Kohn-Sham density matrix (DM). This causes a problem…

化学物理 · 物理学 2022-03-25 Marcel David Fabian , Ben Shpiro , Eran Rabani , Daniel Neuhauser , Roi Baer

The real-time-propagation formulation of time-dependent density-functional theory (RT-TDDFT) is an efficient method for modeling the optical response of molecules and nanoparticles. Compared to the widely adopted linear-response TDDFT…

材料科学 · 物理学 2019-01-15 Tuomas P. Rossi , Mikael Kuisma , Martti J. Puska , Risto M. Nieminen , Paul Erhart

Conventional methods for modeling thermocatalytic systems are typically based on the Kohn-Sham density functional theory (KS-DFT), neglecting the inhomogeneous distributions of gas molecules in the reactive environment. However, industrial…

化学物理 · 物理学 2025-08-14 Jikai Sun , Jianzhong Wu

The van Leeuwen proof of linear-response time-dependent density functional theory (TDDFT) is generalized to thermal ensembles. This allows generalization to finite temperatures of the Gross-Kohn relation, the exchange-correlation kernel of…

化学物理 · 物理学 2016-06-15 Aurora Pribram-Jones , Paul E. Grabowski , Kieron Burke

This work presents an alternative, general, and in-principle exact extension of electronic Kohn-Sham density functional theory (KS-DFT) to the fully quantum-mechanical molecular problem. Unlike in existing multi-component or…

化学物理 · 物理学 2024-05-14 Emmanuel Fromager , Benjamin Lasorne
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