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Time-dependent density functional theory (TDDFT) is a theory that describes the time evolution of quantum mechanical many-electron systems under the influence of external time-dependent electric and magnetic fields. INQ is a specially…

In principle, we should not need the time-dependent extension of density-functional theory (TDDFT) for excitations, and in particular not for Molecular Dynamics (MD) studies: the theorem by Hohenberg and Kohn teaches us that for any…

强关联电子 · 物理学 2015-05-27 J. L. Alonso , Alberto Castro , Pablo Echenique , Angel Rubio

We report a local, weight-dependent correlation density-functional approximation that incorporates information about both ground and excited states in the context of density-functional theory for ensembles (eDFT). This density-functional…

化学物理 · 物理学 2020-06-05 Pierre-François Loos , Emmanuel Fromager

The frequency-dependent response of a one-dimensional fermion system is investigated using Current Density Functional Theory (CDFT) within the local approximation (LDA). DFT-LDA, and in particular CDFT-LDA, reproduces very well the…

强关联电子 · 物理学 2010-04-01 Michael Dzierzawa , Ulrich Eckern , Stefan Schenk , Peter Schwab

As a universal quantum mechanical approach to the dynamical many-body problem, the time-dependent density functional theory (TDDFT) might be inadequate to describe crucial observables that rely on two-body evolution behavior, like the…

计算物理 · 物理学 2025-11-17 Jiong-Hang Liang , Yunfeng Xiong

Real-time time-dependent density functional theory (RT-TDDFT) is a powerful approach for investigating various ultrafast phenomena in materials. However, most existing RT-TDDFT studies rely on adiabatic local or semi-local approximations,…

材料科学 · 物理学 2025-12-23 Yuyang Ji , Haotian Zhao , Peize Lin , Xinguo Ren , Lixin He

While the variational principle for excited-state energies leads to a route to obtaining excited-state densities from time-dependent density functional theory, relatively little attention has been paid to the quality of the resulting…

化学物理 · 物理学 2025-09-12 Anna Baranova , Neepa T. Maitra

We illustrate the scope of Time Dependent Density Functional Theory (TDDFT) for strongly correlated (lattice) models out of equilibrium. Using the exact many body time evolution, we reverse engineer the exact exchange correlation (xc)…

介观与纳米尺度物理 · 物理学 2008-08-12 Claudio Verdozzi

We demonstrate the capabilities of time-dependent density functional theory (TDDFT) for strong-field, short wavelength (soft X-ray) physics, as compared to a formalism based on rate equations. We find that TDDFT provides a very good…

We study a two-dimensional fermionic QFT used to model 1D strongly correlated electrons in the presence of a time-dependent impurity that drives the system out of equilibrium. In contrast to previous investigations, we consider a dynamic…

强关联电子 · 物理学 2009-11-10 Carlos M. Naón , Mariano J. Salvay , Marta L. Trobo

We use analytic (current) density-potential maps of time-dependent (current) density functional theory (TD(C)DFT) to inverse engineer analytically solvable time-dependent quantum problems. In this approach the driving potential (the control…

量子物理 · 物理学 2016-06-01 Mehdi Farzanehpour , I. V. Tokatly

The adiabatic approximation in time-dependent density functional theory (TDDFT) yields reliable excitation spectra with great efficiency in many cases, but fundamentally fails for states of double excitation character. We discuss how…

化学物理 · 物理学 2015-05-27 Peter Elliott , Sharma Goldson , Chris Canahui , Neepa T. Maitra

Time-dependent density-functional theory (TDDFT) is a central tool for studying the dynamical electronic structure of molecules and solids, yet aspects of its mathematical foundations remain insufficiently understood. In this work, we…

Time-dependent density functional theory (TDDFT) is a widely used method to investigate electron dynamics under external time-dependent perturbations such as laser fields. In this work, we present a machine learning approach to accelerate…

材料科学 · 物理学 2025-12-02 Karan Shah , Attila Cangi

We formulate equations of time-dependent density functional theory (TDDFT) in the co-moving Lagrangian reference frame. The main advantage of the Lagrangian description of many-body dynamics is that in the co-moving frame the current…

强关联电子 · 物理学 2009-11-10 I. V. Tokatly

Time-Dependent Density Functional Theory is mathematically formulated through non-linear coupled time-dependent 3-dimensional partial differential equations and it is natural to expect a strong sensitivity of its solutions to variations of…

统计力学 · 物理学 2022-04-06 Aurel Bulgac , Ibrahim Abdurrahman , Gabriel Wlazłowski

A simple approximate solution to the linear response equations of time-dependent density functional theory (TDDFT) is given. This extends the single-pole approximation (SPA) to two strongly-coupled poles. The analysis provides both an…

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

Real-Time Time-Dependent Density Functional Theory (TDDFT) has become an attractive tool to model quantum dynamics on a first-principles Density Functional Theory level. In recent years, several developments and applications in this field…

计算物理 · 物理学 2020-08-21 Joscha Hekele , Peter Kratzer

The adiabatic approximation in time-dependent density functional theory (TDDFT) is known to give an incorrect pole structure in the quadratic response function, leading to unphysical divergences in excited state-to-state transition…

化学物理 · 物理学 2023-05-01 Davood Dar , Saswata Roy , Neepa T. Maitra

We discuss two problems which are particularly challenging for approximations in time-dependent density functional theory (TDDFT) to capture: momentum-distributions in ionization processes, and memory-dependence in real-time dynamics. We…

材料科学 · 物理学 2010-03-22 Arun K. Rajam , Paul Hessler , Christian Gaun , Neepa T. Maitra