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A quantum electrodynamical time-dependent density functional theory framework is applied to describe strongly coupled light--matter interactions in cavity environments. The formalism utilizes a tensor product approach, coupling real-space…

Chemical Physics · Physics 2025-11-27 Yetmgeta Aklilu , Matthew Shepherd , Cody L. Covington , Kalman Varga

A density-functional theory is established for inhomogeneous superfluids at finite temperature, subject to time-dependent external fields in isothermal conditions. After outlining parallelisms between a neutral superfluid and a charged…

Statistical Mechanics · Physics 2009-10-31 M. L. Chiofalo , M. P. Tosi

Fission resulting from collision of atomic nuclei is systematically investigated based on time-dependent density functional calculations. Time-dependent density functional theory (TDDFT) is a framework, which enables us to treat quantum…

Nuclear Theory · Physics 2019-03-26 Yoritaka Iwata

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 calculate the energy deposition by very short laser pulses in SiO_2 (alpha-quartz) with a view to establishing systematics for predicting damage and nanoparticle production. The theoretical framework is time-dependent density functional…

Materials Science · Physics 2015-11-18 S. A. Sato , K. Yabana , Y. Shinohara , T. Otobe , K. M. Lee , G. F. Bertsch

We present the basic concepts and our recent developments in the density functional approaches with the Skyrme functionals for describing nuclear dynamics at low energy. The time-dependent density-functional theory (TDDFT) is utilized for…

Nuclear Theory · Physics 2013-10-16 Takashi Nakatsukasa

Floquet formulation of time-dependent density-functional theory is revisited in light of its recent criticism [Maitra and Burke, Chem. Phys. Lett. 359 (2002), 237]. It is shown that Floquet theory is well founded and its criticism has…

Materials Science · Physics 2015-06-25 Prasanjit Samal , Manoj K. Harbola

A theorem for the invertibility of arbitrary response functions is presented under the following conditions: the time-dependence of the potentials should be Laplace transformable and the initial state should be a ground state, though it…

Quantum Physics · Physics 2016-04-20 Klaas J. H. Giesbertz

Forty-five years after the point de d\'epart [1] of density functional theory, its applications in chemistry and the study of electronic structures keep steadily growing. However, the precise form of the energy functional in terms of the…

Chemical Physics · Physics 2019-10-29 Philippe Blanchard , José M. Gracia-Bondía , Joseph C. Várilly

Due to the strongly nonlocal nature of $f_{xc}({\bf r},{\bf r}',\omega)$ the {\em scalar} exchange and correlation (xc) kernel of the time-dependent density-functional theory (TDDFT), the formula for Q the friction coefficient of an…

Materials Science · Physics 2009-11-13 V. U. Nazarov , J. M. Pitarke , Y. Takada , G. Vignale , Y. -C. Chang

We obtain the exact Kohn-Sham potentials $V_{\mathrm{KS}}$ of time-dependent density-functional theory for 1D Hubbard chains, driven by a d.c.\ external field, using the time-dependent electron density and current density obtained from…

Mesoscale and Nanoscale Physics · Physics 2021-01-15 L. Mancini , J. D. Ramsden , M. J. P. Hodgson , R. W. Godby

When running time-dependent density functional theory (TDDFT) calculations for real-time simulations of non-equilibrium dynamics, the user has a choice of initial Kohn-Sham state, and typically a Slater determinant is used. We explore the…

Chemical Physics · Physics 2016-08-24 Johanna I. Fuks , Soeren E. B. Nielsen , Michael Ruggenthaler , Neepa T. Maitra

Density functional theory stems from the Hohenberg-Kohn-Sham-Mermin (HKSM) theorem in the grand canonical ensemble (GCE). However, as recent work shows, although its extension to the canonical ensemble (CE) is not straightforward, work in…

Statistical Mechanics · Physics 2009-11-07 J. A. Hernando

A density functional theory study of atomic defects and dopants in ternary Z-phase transition-metal nitrides CrMN with M=V, Nb, or Ta is presented. Various defect formation energies of native point defects and of substitutional atoms of…

Materials Science · Physics 2017-10-09 Daniel F. Urban , Christian Elsässer

We present accurate optical spectra of semiconductors and insulators within a pure Kohn-Sham time-dependent density-functional approach. In particular, we show that the onset of the absorption is well reproduced when comparing to…

Materials Science · Physics 2020-03-18 Sarah Cavo , J. A. Berger , Pina Romaniello

The dissipative dynamics of many-electron systems interacting with a thermal environment has remained a long-standing challenge within time-dependent density functional theory (TDDFT). Recently, the formal foundations of open quantum…

Other Condensed Matter · Physics 2015-05-20 David G. Tempel , Alán Aspuru-Guzik

The self consistent version of the density functional theory is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems. An exact functional equation for the effective interaction, from…

Materials Science · Physics 2017-08-23 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

One route to numerically propagating quantum systems is time-dependent density functional theory (TDDFT). The application of TDDFT to a particular system's time evolution is predicated on $V$-representability which we have analyzed in a…

Quantum Physics · Physics 2020-10-27 James Brown , Jun Yang , James D Whitfield

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

We show that the time-dependent particle density $n(\vec r,t)$ and the current density ${\vec j}(\vec r,t)$ of a many-particle system that evolves under the action of external scalar and vector potentials $V(\vec r,t)$ and $\vec A(\vec…

Strongly Correlated Electrons · Physics 2009-11-10 G. Vignale
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