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Near-degenerate electronic structures remain a major challenge for conventional single-reference density functional theory (DFT). To address this problem, we propose time-dependent $\Delta$SCF (TD$\Delta$SCF), a novel linear-response scheme…

Chemical Physics · Physics 2026-05-12 Shuto Shibasaki , Fumiya Mohri , Takashi Tsuchimochi

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…

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

Superadiabatic dynamical density functional theory (superadiabatic-DDFT), a first-principles approach based on the inhomogeneous two-body correlation functions, is employed to investigate the response of interacting Brownian particles to…

Soft Condensed Matter · Physics 2023-06-23 S. M. Tschopp , H. D. Vuijk , J. M. Brader

Simulation and experimental studies have demonstrated non-equilibrium ordering in driven colloidal suspensions: with increasing driving force, a uniform colloidal mixture transforms into a locally demixed state characterized by the lane…

Soft Condensed Matter · Physics 2024-07-16 Hiroshi Frusawa

We present an efficient method for propagating the time-dependent Kohn-Sham equations in free space, based on the recently introduced Fourier contour deformation (FCD) approach. For potentials which are constant outside a bounded domain,…

Chemical Physics · Physics 2023-07-10 Jason Kaye , Alex Barnett , Leslie Greengard , Umberto De Giovannini , Angel Rubio

The dynamics of a many-body system coupled to an external environment represents a fundamentally important problem. To this class of open quantum systems pertains the study of energy transport and dissipation, dephasing, quantum measurement…

Strongly Correlated Electrons · Physics 2009-11-13 R. D'Agosta , M. Di Ventra

Certain excitations, especially ones of long-range charge transfer character, are poorly described by time-dependent density functional theory (TDDFT) when typical (semi-)local functionals are used. A proper description of these excitations…

Chemical Physics · Physics 2018-08-01 J. Garhammer , F. Hofmann , R. Armiento , S. Kümmel

Density Functional Theory (DFT) is a robust framework for modeling interacting many-body systems, including the equation of state (EoS) of dense matter. Many models, however, rely on energy functionals based on assumptions that have not…

Nuclear Theory · Physics 2025-06-06 Udita Shukla , Pok Man Lo

The Quantum-Electrodynamical Time-Dependent Density Functional Theory (QED-TDDFT) equations are solved by time propagating the wave function on a tensor product of a Fock-space and real-space grid. Applications for molecules in cavities…

Quantum Physics · Physics 2022-11-30 Justin Malave , Alexander Ahrens , Daniel Pitagora , Cody Covington , Kálmán Varga

A fundamental property of a quantum system driven by an external field is that when the field is turned off the positions of its response frequencies are independent of the time at which the field is turned off. We show that this leads to…

Chemical Physics · Physics 2015-05-29 Johanna I. Fuks , Kai Luo , Ernesto D. Sandoval , Neepa T. Maitra

We address and quantify the role of non-adiabaticity ("memory effects") in the exchange-correlation (xc) functional of time-dependent density functional theory (TDDFT) for describing non-linear dynamics of many-body systems. Time-dependent…

Other Condensed Matter · Physics 2015-06-18 Johanna I. Fuks , Mehdi Farzanehpour , Ilya V. Tokatly , Heiko Appel , Stefan Kurth , Angel Rubio

Time dependent quantum systems are the subject of intense inquiry, in mathematics, science, and engineering, particularly at the atomic and molecular levels. In 1984, Runge and Gross introduced time dependent density functional theory…

Analysis of PDEs · Mathematics 2021-02-24 Joseph W. Jerome

Linear-response time-dependent density functional theory (LR-TDDFT) simulations of disordered extended systems require averaging over different snapshots of ion configurations to minimize finite size effects due to the snapshot--dependence…

Computational Physics · Physics 2023-07-19 Zhandos A. Moldabekov , Jan Vorberger , Mani Lokamani , Tobias Dornheim

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…

Chemical Physics · Physics 2020-06-05 Pierre-François Loos , Emmanuel Fromager

The self consistent version of the density functional theory (DFT) is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems such as atoms, molecules and clusters. The exact functional…

Condensed Matter · Physics 2007-05-23 M. Ya. Amusia , V. R. Shaginyan

We investigate the time an electronic excitation travels in a supermolecular setup using a measurement process in an open quantum-system framework. The approach is based on the stochastic Schr\"odinger equation and uses a Hamiltonian from…

Materials Science · Physics 2013-12-09 Dirk Hofmann , Heiko Appel , Massimiliano Di Ventra , Stephan Kümmel

Time-dependent density functional theory has emerged as a method of choice for calculations of spectra and response properties in physics, chemistry, and biology, with its system-size scaling enabling computations on systems much larger…

Chemical Physics · Physics 2021-07-13 Neepa T. Maitra

Exciton formation leads to J-bands in solid pentacene. Describing these exciton bands represents a challenge for both time-dependent (TD) density-functional theory (DFT) and for its semiempirical analogue, namely for TD density-functional…

Time-dependent density-functional theory (TDDFT) often successfully reproduces excitation energies of finite systems, already in the adiabatic local-density approximation (ALDA). Here we show for prototypical molecular materials, i.e.,…

Materials Science · Physics 2015-11-25 Caterina Cocchi , Claudia Draxl