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We present a rigorous formulation of the time-dependent density functional theory for interacting lattice electrons strongly coupled to cavity photons. We start with an example of one particle on a Hubbard dimer coupled to a single photonic…

Strongly Correlated Electrons · Physics 2015-06-22 Mehdi Farzanehpour , I. V. Tokatly

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 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 density-functional approach to quantum electrodynamics is extending traditional density-functional theory and opens the possibility to describe electron-photon interactions in terms of effective Kohn-Sham potentials. In this work, we…

Quantum Physics · Physics 2016-02-17 Johannes Flick , Michael Ruggenthaler , Heiko Appel , Angel Rubio

We start from the QED Lagrangian to describe a charged many-particle system coupled to the radiation field. A covariant density matrix approach to kinetic theory of QED plasmas, subjected to a strong external electro-magnetic field has…

Quantum Physics · Physics 2009-11-07 A. Hoell , V. G. Morozov , G. Roepke

The Breit correction, the finite-light-speed correction for the Coulomb interaction of the electron-electron interaction in $ O \left( 1/ c^2 \right) $, is introduced to density functional theory (DFT) based on the non-relativistic…

Computational Physics · Physics 2020-10-20 Tomoya Naito , Ryosuke Akashi , Haozhao Liang , Shinji Tsuneyuki

We introduce crystal polaritons, hybrid excitations formed when the collective excitations of a periodic quantum-emitter array strongly couple to the resonant Bloch modes of a metasurface. This realizes a cavity-QED platform in which…

Cavity quantum electrodynamics (QED) generalizations of time-dependent (TD) density functional theory (DFT) and equation-of-motion (EOM) coupled-cluster (CC) theory are used to model small molecules strongly coupled to optical cavity modes.…

Chemical Physics · Physics 2023-07-19 Marcus D. Liebenthal , Nam Vu , A. Eugene DePrince

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…

Chemical Physics · Physics 2022-10-18 Kevin Carter-Fenk , Leonardo A. Cunha , Juan E. Arias-Martinez , Martin Head-Gordon

The relativistic Hartree-Fock and electron correlation methods without the negative-energy orbital problem are examined on the basis of the quantum electrodynamics (QED) Hamiltonian. First, several QED Hamiltonians previously proposed are…

Chemical Physics · Physics 2023-01-02 Nobuki Inoue , Yoshihiro Watanabe , Haruyuki Nakano

Time-Dependent Density Functional Theory (TDDFT) has been currently established as a computationally cheaper, yet effective, alternative to the Many-Body Perturbation Theory (MBPT) for calculating the optical properties of solids. Within…

Materials Science · Physics 2026-04-13 M. Arruabarrena , A. Leonardo , A. Ayuela

Strong light-matter interactions in both the single-emitter and collective strong coupling regimes attract significant attention due to emerging quantum and nonlinear optics applications, as well as opportunities for modifying…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 Tuomas P. Rossi , Timur Shegai , Paul Erhart , Tomasz J. Antosiewicz

We study light-mediated interactions between spatially separated molecules using real-time quantum electrodynamical time-dependent density functional theory based on the Pauli-Fierz Hamiltonian. An ultrashort delta-kick excitation…

Chemical Physics · Physics 2026-01-22 Yetmgeta Aklilu , Tiany Yang , Cody Covington , Kalman Varga

The ab initio simulation of charged interfaces in the framework of density functional theory (DFT) is heavily employed for the study of electrochemical energy conversion processes. The capacitance is the primary descriptor for the response…

Materials Science · Physics 2022-04-26 Tobias Binninger

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

A mixed quantum-classical approach is introduced which allows the dynamical response of molecules driven far from equilibrium to be modeled. This method is applied to the interaction of molecules with intense, short-duration laser pulses.…

Atomic Physics · Physics 2012-05-21 Daniel Dundas

We use a recently proposed quantum electrodynamical density functional theory (QEDFT) functional in a real-time excitation calculation for a two-dimensional electron gas in a square array of quantum dots in an external constant…

Mesoscale and Nanoscale Physics · Physics 2023-10-09 Vidar Gudmundsson , Vram Mughnetsyan , Nzar Rauf Abdullah , Chi-Shung Tang , Valeriu Moldoveanu , Andrei Manolescu

Within the finite-field Kohn-Sham framework, static electric response properties of diatomic molecules are presented. The electronic energy, dipole moment ({\boldmath$\mu$}), static dipole polarizability ({\boldmath$\alpha$}) and…

Chemical Physics · Physics 2019-04-26 Abhisek Ghosal , Tanmay Mandal , Amlan K. ~Roy

By analyzing the many-body problem for non-relativistic electrons strongly coupled to photon modes of a microcavity I derive the exact momentum/force balance equation for cavity quantum electrodynamics. Implications of this equation for the…

Mesoscale and Nanoscale Physics · Physics 2018-12-14 I. V. Tokatly

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…

Materials Science · Physics 2019-01-15 Tuomas P. Rossi , Mikael Kuisma , Martti J. Puska , Risto M. Nieminen , Paul Erhart