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Related papers: Linear response theory for cavity QED materials at…

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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

Quantum linear response theory considers only the response of a closed quantum system to a perturbation up to first order in the perturbation. This theory breaks down when the system subjects to environments and the response up to second…

Quantum Physics · Physics 2016-01-06 H. Z. Shen , M. Qin , Y. H. Zhou , X. Q. Shao , X. X. Yi

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

We perform extensive simulations of the two-dimensional cavity-coupled electron gas in a modulating potential as a minimal model for cavity quantum materials. These simulations are enabled by a newly developed quantum-electrodynamical (QED)…

Strongly Correlated Electrons · Physics 2025-10-08 Lukas Weber , Miguel A. Morales , Johannes Flick , Shiwei Zhang , Angel Rubio

Basing on the theory of Feynman's influence functional and its hierarchical equations of motion, we develop a linear response theory for quantum open systems. Our theory provides an effective way to calculate dynamical observables of a…

Mesoscale and Nanoscale Physics · Physics 2011-08-31 J. H. Wei , YiJing Yan

Starting from a general material system of $N$ particles coupled to a cavity, we use a coherent-state path integral formulation to produce a non-perturbative effective theory for the material degrees of freedom. We tackle the effects of…

Quantum Physics · Physics 2022-05-11 Juan Román-Roche , David Zueco

We investigate the control of interacting matter through strong coupling to a single electromagnetic mode, such as the photon mode in a Fabry-Perot or split-ring cavity. For this purpose, we analyze the exact effective theory for the…

Strongly Correlated Electrons · Physics 2022-05-12 Katharina Lenk , Jiajun Li , Philipp Werner , Martin Eckstein

The density linear response function for an inhomogeneous system of electrons in equilibrium with an array of fixed ions is considered. Two routes to its evaluation for extreme conditions (e.g., warm dense matter) are considered. The first…

Statistical Mechanics · Physics 2018-09-12 James Dufty , Kai Luo , S. B. Trickey

When light and matter interact strongly, the resulting hybrid system inherits properties from both constituents, allowing one to modify material behavior by engineering the surrounding electromagnetic environment. This concept underlies the…

We derive the full linear-response theory for non-relativistic quantum electrodynamics in the long wavelength limit, show quantum modifications of the well-known Maxwell's equation in matter and provide a practical framework to solve the…

Quantum Physics · Physics 2025-12-23 Johannes Flick , Davis M. Welakuh , Michael Ruggenthaler , Heiko Appel , Angel Rubio

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 describe an efficient approach to modelling cavity quantum electrodynamics (QED) with a time-delayed coherent feedback using quantum trajectory simulations. An analytical set of equations is derived to exploit the advantages of…

Quantum Physics · Physics 2020-02-12 Gavin Crowder , Howard Carmichael , Stephen Hughes

Linear response theory serves as a fundamental tool in the study of quantum transport, extensively employed to elucidate fundamental mechanisms related to the nature of the particles involved and the underlying symmetries. This framework…

Mesoscale and Nanoscale Physics · Physics 2025-10-07 Gu Zhang , Igor Gornyi , Yuval Gefen

In this article, we study the effects of intrinsic nonlinear optomechanical interaction on the linear response of a driven-dissipative optomechanical system to a weak time-dependent perturbation. By calculating the linear response of the…

Quantum Physics · Physics 2025-02-17 B. Askari , A. Dalafi , M. J. Kazemi

The derivation of linear response theory within polarizable embedding is carried out from a rigorous quantum-mechanical treatment of a composite system. Two different subsystem decompositions (symmetric and nonsymmetric) of the linear…

Chemical Physics · Physics 2017-10-09 Nanna Holmgaard List , Patrick Norman , Jacob Kongsted , Hans Jørgen Aagaard Jensen

We present linear response theories in the continuum capable of describing continuum spectra and dynamical correlations of finite systems with no spatial symmetry. Our formulation is essentially the same as the continuum random-phase…

Nuclear Theory · Physics 2007-05-23 Takashi Nakatsukasa , Kazuhiro Yabana

We derive equations of motion for higher order density response functions using the theory of thermodynamic Green's functions. We also derive expressions for the higher order generalized dielectric functions and polarization functions.…

Strongly Correlated Electrons · Physics 2024-10-04 Jan Vorberger , Tobias Dornheim , Maximilian P. Böhme , Zhandos Moldabekov , Panagiotis Tolias

We develop a linear response theory by computing the asymptotic value of the order parameter from the linearized equation of continuity around the nonsynchronized reference state using the Laplace transform in time. The proposed theory is…

Adaptation and Self-Organizing Systems · Physics 2020-01-09 Yu Terada , Yoshiyuki Y Yamaguchi

Most currently used approximations for the one-particle Green's function G in the framework of many-body perturbation theory, such as Hedin's GW approximation or the cumulant GW+C approach, are based on a linear response approximation for…

Strongly Correlated Electrons · Physics 2020-08-05 Marilena Tzavala , Joshua J. Kas , Lucia Reining , John J. Rehr

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
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