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The key features of density-functional theory (DFT) within a minimalistic implementation of quantum electrodynamics are demonstrated, thus allowing to study elementary properties of quantum-electrodynamical density-functional theory…

Quantum-electrodynamical density-functional theory (QEDFT) provides a first-principles framework for describing materials coupled to quantized electromagnetic fields. While QEDFT has successfully captured cavity-induced modifications of…

Materials Science · Physics 2026-03-26 Benshu Fan , I-Te Lu , Michael Ruggenthaler , Angel Rubio

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

Quantum-electrodynamical density-functional theory (QEDFT) provides a promising avenue for exploring complex light-matter interactions in optical cavities for real materials. Similar to conventional density-functional theory, the Kohn-Sham…

Computational Physics · Physics 2024-02-16 I-Te Lu , Michael Ruggenthaler , Nicolas Tancogne-Dejean , Simone Latini , Markus Penz , Angel Rubio

Linear-response quantum electrodynamical density functional theory (QEDFT) enables the description of molecular spectra under strong coupling to quantized photonic modes, such as those in optical cavities. Recently, this approach was…

Chemical Physics · Physics 2025-07-11 Lukas Konecny , Valeriia P. Kosheleva , Michael Ruggenthaler , Michal Repisky , Angel Rubio

Inspired by the formulation of quantum-electrodynamical time-dependent density functional theory (QED-TDDFT) by Rubio and coworkers, we propose an implementation that uses dimensionless amplitudes for describing the photonic contributions…

Materials Science · Physics 2021-08-20 Junjie Yang , Qi Ou , Zheng Pei , Hua Wang , Binbin Weng , Kieran Mullen , Yihan Shao

Ground-state electronic structure calculations using Kohn-Sham density functional theory (KS-DFT) offer an unprecedented balance between efficiency and accuracy, now paradigmatic to the fields of quantum chemistry and condensed matter…

Chemical Physics · Physics 2026-04-14 Lucien Dupuy , Toni Chiti , Jérémy Morere , Emmanuel Fromager

We present results of a photon-free exchange-correlation functional within the local density approximation (pxcLDA) for quantum electrodynamics density functional theory (QEDFT) that efficiently describes the electron density of…

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

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

For studying the group theoretical classification of the solutions of the density functional theory in relativistic framework, we propose quantum electrodynamical density-matrix functional theory (QED-DMFT). QED-DMFT gives the energy as a…

Chemical Physics · Physics 2007-05-23 Tadafumi Ohsaku , Shusuke Yamanaka , Daisuke Yamaki , Kizashi Yamaguchi

Density functional theory (DFT) is shown to provide a novel conceptual and computational framework for entanglement in interacting many-body quantum systems. DFT can, in particular, shed light on the intriguing relationship between quantum…

Quantum Physics · Physics 2009-11-11 L. -A. Wu , M. S. Sarandy , D. A. Lidar , L. J. Sham

We introduce a simple scheme to efficiently compute photon exchange-correlation contributions due to the coupling to transversal photons as formulated in the newly developed quantum-electrodynamical density functional theory (QEDFT). Our…

Quantum Physics · Physics 2018-04-16 Johannes Flick , Christian Schäfer , Michael Ruggenthaler , Heiko Appel , Angel Rubio

Embedded density functional theory (e-DFT) is used to describe the electronic structure of strongly interacting molecular subsystems. We present a general implementation of the Exact Embedding (EE) method [J. Chem. Phys. 133, 084103 (2010)]…

Other Condensed Matter · Physics 2011-07-27 Jason D. Goodpaster , Taylor A. Barnes , Thomas F. Miller

The treatment of degenerate states within Kohn-Sham density functional theory (KS-DFT) is a problem of longstanding interest. We propose a solution to this mapping from the interacting degenerate system to that of the noninteracting fermion…

Materials Science · Physics 2009-11-07 Viraht Sahni , Xiao-Yin Pan

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…

Cavity quantum electrodynamics (QED) studies the interaction between a quantum emitter and a single radiation-field mode. When an atom is in strong coupling with a cavity mode1,2, it is possible to realize key quantum information processing…

Quantum Physics · Physics 2009-11-13 K. Hennessy , A. Badolato , M. Winger , D. Gerace , M. Atature , S. Gulde , S. Falt , E. L. Hu , A. Imamoglu

Strong light-matter coupling enables hybrid states in which photonic and electronic degrees of freedom become correlated even in the ground state. While many-body effects in long-range dispersion interactions are known to reshape electronic…

Chemical Physics · Physics 2025-12-23 Cankut Tasci , Mohammad Hassan , Leon Orlov-Sullivan , Leonardo A. Cunha , Johannes Flick

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

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
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