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In this work we give a comprehensive derivation of an exact and numerically feasible method to perform ab-initio calculations of quantum particles interacting with a quantized electromagnetic field. We present a hierachy of…

A configuration-interaction time-dependent density functional theory (CI-TDDFT) for nuclear dynamics is developed. In this framework, the correlated nuclear many-body wave function is expanded in terms of time-dependent many-particle…

Nuclear Theory · Physics 2026-05-21 Y. P. Wang , B. Li , D. Vretenar , T. Nikšić , P. W. Zhao , J. Meng

Strong light-matter coupling provides a promising path for the control of quantum matter where the latter is routinely described from first-principles. However, combining the quantized nature of light with this ab initio tool set is…

Quantum Physics · Physics 2024-10-22 Christian Schäfer , Florian Buchholz , Markus Penz , Michael Ruggenthaler , Angel Rubio

A real-space representation of the current response of many-electron systems with possible applications to x-ray nonlinear spectroscopy and magnetic susceptibilities is developed. Closed expressions for the linear, quadratic and third-order…

Strongly Correlated Electrons · Physics 2009-11-10 Oleg Berman , Shaul Mukamel

The nuclear time-dependent density functional theory (TDDFT) is a tool of choice for describing various dynamical phenomena in atomic nuclei. In a recent study, we reported an extension of the framework - the multiconfigurational TDDFT…

Nuclear Theory · Physics 2024-01-24 Petar Marević , David Regnier , Denis Lacroix

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…

Chemical Physics · Physics 2016-11-04 Yi Gao , Daniel Neuhauser , Roi Baer , Eran Rabani

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

We generalize the optimized effective potential (OEP) formalism in the quantum electrodynamical density functional theory (QEDFT) to the case of continuous distribution of photon modes, and study its applicability to dissipative dynamics of…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 A. Kudlis , I. Iorsh , I. V. Tokatly

The logical structure and the basic theorems of time-dependent current density functional theory (TDCDFT) are analyzed and reconsidered from the point of view of recently proposed time-dependent deformation functional theory (TDDefFT). It…

Strongly Correlated Electrons · Physics 2019-03-27 I. V. Tokatly

Following a previous paper [Y. Shi, Phys. Rev. C 98, 014329(2018)], we present an extension of the density-functional theory to allow for dynamic calculations based on the obtained static Hartree-Fock results. We perform extensive benchmark…

Nuclear Theory · Physics 2020-11-04 Yue Shi , Nobuo Hinohara , Bastian Schuetrumpf

The development of reliable ab initio methods for light-matter strong coupling is necessary for a deeper understanding of molecular polaritons. The recently developed strong coupling quantum electrodynamics Hartree-Fock model (SC-QED-HF)…

Chemical Physics · Physics 2025-02-21 Matteo Castagnola , Rosario R. Riso , Yassir El Moutaoukal , Enrico Ronca , Henrik Koch

The application of methods of time-dependent density functional theory (TDDFT) to systems of qubits provided the interesting possibility of simulating an assigned Hamiltonian evolution by means of an auxiliary Hamiltonian having different…

Quantum Physics · Physics 2012-03-08 Diego de Falco , Dario Tamascelli

Time-dependent (current) density functional theory for many-electron systems strongly coupled to quantized electromagnetic modes of a microcavity is proposed. It is shown that the electron-photon wave function is a unique functional of the…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 I. V. Tokatly

We present a theoretical description of femtosecond laser induced dynamics of the hydrogen molecule and of singly ionised sodium dimers, based on a real-space, real-time, implementation of time-dependent density functional theory (TDDFT).…

Condensed Matter · Physics 2007-05-23 Alberto Castro , M. A. L. Marques , Julio A. Alonso , George F. Bertsch , Angel Rubio

Ensemble density functional theory (EDFT) is a promising alternative to time-dependent density functional theory for computing electronic excitation energies. Using coordinate scaling, we prove several fundamental exact conditions in EDFT…

Strongly Correlated Electrons · Physics 2023-07-04 Thais R. Scott , John Kozlowski , Steven Crisostomo , Aurora Pribram-Jones , Kieron Burke

We propose a nonadiabatic time-dependent spin-density functional theory (TDSDFT) approach for studying the single-electron excited states and the ultrafast response of systems with strong electron correlations. The correlations are…

Strongly Correlated Electrons · Physics 2013-11-27 Volodymyr Turkowski , Talat S. Rahman

We present a numerical method for grand canonical density functional theory (DFT) tailored to solid-state systems, employing Gaussian-type orbitals as the primary basis. Our approach directly minimizes the grand canonical free energy using…

Chemical Physics · Physics 2025-10-09 Anton Z. Ni , Adam Rettig , Joonho Lee

Using the Runge-Gross theorem that establishes the foundation of Time-dependent Density Functional Theory (TDDFT) we prove that for a given electronic Hamiltonian, choice of initial state, and choice of fragmentation, there is a unique…

Chemical Physics · Physics 2015-06-15 Martin A. Mosquera , Daniel Jensen , Adam Wasserman

We present the theoretical derivation and numerical implementation of the linear response equations for relativistic quantum electrodynamical density functional theory (QEDFT). In contrast to previous works based on the Pauli-Fierz…

Chemical Physics · Physics 2024-07-09 Lukas Konecny , Valeriia P. Kosheleva , Heiko Appel , Michael Ruggenthaler , Angel Rubio

To explore whether the density-functional theory non-equilibrium Green's function formalism (DFT-NEGF) provides a rigorous framework for quantum transport, we carried out time-dependent density functional theory (TDDFT) calculations of the…

Materials Science · Physics 2011-07-01 ChiYung Yam , Xiao Zheng , GuanHua Chen , Yong Wang , Thomas Frauenheim , Thomas A. Niehaus
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