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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

In this work, we provide an overview of how well-established concepts in the fields of quantum chemistry and material sciences have to be adapted when the quantum nature of light becomes important in correlated matter-photon problems.…

Quantum Physics · Physics 2017-04-12 Johannes Flick , Michael Ruggenthaler , Heiko Appel , Angel Rubio

We discuss the problem of gauge fixing for strongly correlated electrons coupled to quantum light, described by projected low-energy models such as those obtained within tight-binding methods. Drawing from recent results in the field of…

Strongly Correlated Electrons · Physics 2021-03-12 Olesia Dmytruk , Marco Schiró

The coupling of photons with (ultra-) relativistic atomic nuclei is presented in two particular circumstances: very high electromagnetic fields and very short photon pulses. We consider a typical situation where the (bare) nuclei (fully…

Nuclear Theory · Physics 2013-12-05 M. Apostol , M. Ganciu

We revisit the interaction of a first-quantized atomic system (consisting of two charged quantum particles) with the quantum electromagnetic field, pointing out the subtleties related to the gauge nature of electromagnetism and the effect…

Quantum Physics · Physics 2021-01-13 Richard Lopp , Eduardo Martín-Martínez

Theoretical accounts of ultrastrongly coupled light-matter systems commonly assume that it arises from the interaction of an emitter with propagating photon modes supported by a structure, understanding photons as the excitations of the…

Quantum Physics · Physics 2025-08-04 Diego Fernández de la Pradilla , Esteban Moreno , Johannes Feist

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

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

We compare the predictions of the fundamentally motivated minimal coupling ($\hat{\boldsymbol{p}}\cdot\hat{\boldsymbol{A}}$) and the ubiquitous dipole coupling ($\hat{\boldsymbol{x}}\cdot\hat{\boldsymbol{E}}$) in the light-matter…

Quantum Physics · Physics 2019-05-08 Nicholas Funai , Jorma Louko , Eduardo Martin-Martinez

We describe a qualitatively new regime of cavity quantum electrodynamics, the super strong coupling regime. This regime is characterized by atom-field coupling strengths of the order of the free spectral range of the cavity, resulting in a…

Quantum Physics · Physics 2009-11-13 D. Meiser , P. Meystre

We consider the motion of the end mirror of a cavity in whose standing wave mode pattern atoms are trapped. The atoms and the light field strongly couple to each other because the atoms form a distributed Bragg mirror with a reflectivity…

Atomic Physics · Physics 2009-11-11 D. Meiser , P. Meystre

Ultrastrong coupling between light and matter has, in the past decade, transitioned from theoretical idea to experimental reality. It is a new regime of quantum light-matter interaction, going beyond weak and strong coupling to make the…

Mesoscale and Nanoscale Physics · Physics 2019-01-09 Anton Frisk Kockum , Adam Miranowicz , Simone De Liberato , Salvatore Savasta , Franco Nori

The recently available high-intensity quantum light pulses provide novel tools for controlling light-matter interactions. However, the rigor of the theoretical frameworks currently used to describe the interaction of strong quantum light…

Quantum Physics · Physics 2025-12-18 Yi-Jia Mao , En-Rui Zhou , Yang Li , Pei-Lun He , Feng He

In a microcavity, light-matter coupling is quantified by the vacuum Rabi frequency $\Omega_R$. When $\Omega_R$ is larger than radiative and non-radiative loss rates, the system eigenstates (polaritons) are linear superposition of photonic…

Cavity-mediated light-matter coupling can dramatically alter opto-electronic and physico-chemical properties of a molecule. Ab initio theoretical predictions of these systems need to combine non-perturbative, many-body electronic structure…

Quantum Physics · Physics 2024-06-19 Derek S. Wang , Tomáš Neuman , Johannes Flick , Prineha Narang

Constraint on spin-dependent and spin-independent Yukawa potential at atomic scale is developed. That covers constraints on a coupling constant of an additional photon $\gamma^*$ and a pseudovector boson. The mass range considered is from…

High Energy Physics - Phenomenology · Physics 2014-11-04 S. G. Karshenboim

This work theoretically addresses the trapping an ionized atom with a single valence electron by means of lasers, analyzing qualitatively and quantitatively the consequences of the net charge of the particle. In our model, the coupling…

Quantum Physics · Physics 2015-05-20 Cecilia Cormick , Tobias Schaetz , Giovanna Morigi

Strong and ultra-strong light-matter coupling are remarkable phenomena of quantum electrodynamics occurring when the interaction between a matter excitation and the electromagnetic field cannot be described by usual perturbation theory.…

Quantum Physics · Physics 2016-10-19 Simon Huppert , Angela Vasanelli , Giulia Pegolotti , Yanko Todorov , Carlo Sirtori

We propose a new type of gauge-invariant expansion of the ionization probability amplitudes of atoms by short pulses of electromagnetic radiation. Contrary to previous gauge-invariant approaches to this problem it does not require different…

Quantum Physics · Physics 2015-05-19 A. Bechler , M. Ślȩczka

A theoretical approach was developed for an exact numerical description of a pair of ultracold atoms interacting via a central potential that are trapped in a three-dimensional optical lattice. The coupling of center-of-mass and…

Quantum Physics · Physics 2013-05-29 Sergey Grishkevich , Alejandro Saenz
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