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We develop a new theoretical framework for describing light-matter interactions in cavity quantum electrodynamics (QED), optimized for efficient convergence at arbitrarily strong coupling strengths and is naturally applicable to…

Quantum Physics · Physics 2023-11-16 Michael A. D. Taylor , Braden M. Weight , Pengfei Huo3

Quantum light-matter systems at strong coupling are notoriously challenging to analyze due to the need to include states with many excitations in every coupled mode. We propose a nonperturbative approach to analyze light-matter correlations…

Mesoscale and Nanoscale Physics · Physics 2021-04-15 Yuto Ashida , Atac Imamoglu , Eugene Demler

When the light interacts with matters in a lossy cavity, in the standard cavity quantum electrodynamics, the dissipation of cavity fields is characterized simply by the strengths of the two couplings: the light-matter interaction and the…

Quantum Physics · Physics 2014-02-17 Motoaki Bamba , Tetsuo Ogawa

Recent technological developments have made it increasingly easy to access the non-perturbative regimes of cavity quantum electrodynamics known as ultra or deep strong coupling, where the light-matter coupling becomes comparable to the bare…

Quantum Physics · Physics 2018-05-22 Carlos Sánchez Muñoz , Franco Nori , Simone De Liberato

We discuss the construction of low-energy tight-binding Hamiltonians for condensed matter systems with a strong coupling to the quantum electromagnetic field. Such Hamiltonians can be obtained by projecting the continuum theory on a given…

Strongly Correlated Electrons · Physics 2020-05-27 Jiajun Li , Denis Golez , Giacomo Mazza , Andrew Millis , Antoine Georges , Martin Eckstein

Light-matter coupled Hamiltonians are central to cavity materials engineering and polaritonic chemistry, but are challenging to simulate with classical hardware due to the scaling of the Hilbert space with the number of quantum photon modes…

Quantum Physics · Physics 2025-10-21 Francesco Troisi , Simone Latini , Heiko Appel , Martin Lüders , Angel Rubio , Ivano Tavernelli

Strong light-matter coupling provides a versatile and novel means to manipulate chemical processes. Here we develop a theoretical framework to investigate the spectroscopy and dynamics of a molecular ensemble embedded in an optical cavity…

Quantum Physics · Physics 2023-06-16 Bing Gu

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 investigate classes of interacting quantum spin systems in a single-mode cavity with a Dicke coupling, as a paradigmatic example of strongly correlated light-matter systems. Coming from the limit of weak light-matter couplings and large…

Strongly Correlated Electrons · Physics 2024-07-30 Andreas Schellenberger , Kai Phillip Schmidt

This article reviews theoretical methods developed in the last decade to understand cavity quantum electrodynamics in the ultrastrong-coupling regime, where the strength of the light-matter interaction becomes comparable to the photon…

Quantum Physics · Physics 2020-06-05 Alexandre Le Boité

Hamiltonian light-front quantum field theory constitutes a framework for the non-perturbative solution of invariant masses and correlated parton amplitudes of self-bound systems. By choosing the light-front gauge and adopting a basis…

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

Achieving strong coupling between light and matter is usually a challenge in Cavity Quantum Electrodynamics (cQED), especially in solid state systems. For this reason is useful taking advantage of alternative approaches to reach this…

Mesoscale and Nanoscale Physics · Physics 2018-03-07 J. E. Ramírez-Muñoz , J. P. Restrepo Cuartas , H. Vinck-Posada

We present a first-principles approach to electronic many-body systems strongly coupled to cavity modes in terms of matter-photon one-body reduced density matrices. The theory is fundamentally non-perturbative and thus captures not only the…

We investigate a strongly correlated system of light and matter in two-dimensional cavity arrays. We formulate a Jaynes-Cummings Hamiltonian for two-level atoms coupled to cavity modes and driven by an external laser field which reduces to…

Quantum Physics · Physics 2017-08-02 Jiří Minář , Şebnem Güneş Söyler , Pietro Rotondo , Igor Lesanovsky

Recent experiments have revealed the tantalizing possibility of fabricating lattice electronic systems strongly coupled to quantum fluctuations of electromagnetic fields, e.g., by means of geometry confinement from a cavity or artificial…

Strongly Correlated Electrons · Physics 2022-05-03 Jiajun Li , Lukas Schamriß , Martin Eckstein

Counter-diabatic (CD) driving provides a powerful route to fast and robust state preparation by suppressing diabatic excitations during finite-time evolution. Yet, deriving analytical CD protocols for complex systems remains challenging,…

Quantum Physics · Physics 2026-05-19 Julián Ferreiro-Vélez , Pablo García-Azorín , F. A. Cárdenas-López , Xi Chen

Generalized Dicke models can be implemented in hybrid quantum systems built from ensembles of nitrogen-vacancy (NV) centers in diamond coupled to superconducting microwave cavities. By engineering cavity assisted Raman transitions between…

A reduced-density-matrix (RDM)-based approach to {\em ab initio} cavity quantum electrodynamics (QED) is developed. The expectation value of the Pauli-Fierz Hamiltonian is expressed in terms of one- and two-body electronic and photonic…

Chemical Physics · Physics 2022-11-23 Joel D. Mallory , A. Eugene DePrince

We present a circuit-QED scheme which allows to reach the ultrastrong coupling regime of a nondipolar interaction between a single qubit and a quantum resonator. We show that the system Hamiltonian is well approximated by a two-photon…

Quantum Physics · Physics 2018-12-05 Simone Felicetti , Myung-Joong Hwang , Alexandre Le Boité
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