Most theoretical studies for correlated light-matter systems are performed within the long-wavelength limit, i.e., electromagnetic field is assumed to be spatially uniform. In this limit so-called length-gauge transformation a fully quantized system gives rise dipole self-energy term in Hamiltonian, harmonic potential of total matter moment. practice often discarded as it subsumed kinetic energy term. work we show necessity First and foremost, without does not have ground-state, combined...

Experiments at the interface of quantum optics and chemistry have revealed that strong coupling between light matter can substantially modify chemical physical properties molecules solids. While theoretical description such situations is usually based on nonrelativistic electrodynamics, which contains quadratic light–matter terms, it commonplace to disregard these terms restrict treatment purely bilinear couplings. In this work, we clarify origin substantial impact most common diamagnetic...

Cavity modification of material properties and phenomena is a novel research field largely motivated by the advances in strong light-matter interactions. Despite this progress, exact solutions for extended systems strongly coupled to photon are not available, both theory experiments rely mainly on finite-system models. Therefore paradigmatic example an exactly solvable system cavity becomes highly desireable. To fill gap we revisit Sommerfeld's free electron gas quantum electrodynamics...

In a previous work [Phys. Rev. Lett. 123, 047202 (2019)] translationally invariant framework called quantum-electrodynamical Bloch (QED-Bloch) theory was introduced for the description of periodic materials in homogeneous magnetic fields and strongly coupled to quantized photon field optical limit. For such systems, we show that QED-Bloch predicts existence fractal polaritonic spectra as function cavity coupling strength. addition, energy spectrum relative flux find terahertz can modify...

In this work we investigate the effects that multimode photonic environments, e.g., optical cavities, have on properties of quantum matter. We highlight importance nonperturbative mass renormalization procedure for electrodynamics simulations and how it connects to common approximations used in polaritonic chemistry cavity materials engineering. focus one-dimensional systems which can be solved exactly large number photon modes. First, apply free particles. The value renormalized depends...

We propose a solution to the problem of Bloch electrons in homogeneous magnetic field by including quantum fluctuations photon field. A generalized electrodynamical (QED)-Bloch theory from first principles is presented. In limit vanishing fluctuations, we recover standard results solid-state physics: fractal spectrum Hofstadter butterfly. As further application, show how well-known Landau physics modified and that polaritons emerge. This shows our QED-Bloch does not only allow us capture...

Recent advances in polaritonic chemistry suggest that chemical reactions can be controlled via collective vibrational strong coupling (VSC) a cavity. We provide an analytical framework for the dynamics of molecular ensemble under VSC, revealing induces beating, with period inversely proportional to vacuum Rabi splitting. This emergent beating occurs over significantly longer time scales than either individual vibration or cavity field oscillation period, and peaks at cavity-molecule...

Cavity quantum electrodynamics provides an ideal platform to engineer and control light-matter interactions with polariton quasiparticles. In this work, we investigate collective phenomena in a system of many particles harmonic trap coupled homogeneous cavity field. The couples collectively the field, through its center mass, states emerge. field mediates pairwise long-range enhances effective mass particles. This leads enhancement localization matter ground state density, which features...

We study the quantum Hall effect in a two-dimensional homogeneous electron gas coupled to cavity field. As initially pointed out by Kohn, Galilean invariance for system implies that electronic center of mass (c.m.) decouples from electron-electron interaction, and energy c.m. mode, also known as Kohn is equal single particle cyclotron transition. In this work, we point strong light-matter hybridization between mode photons gives rise collective hybrid modes Landau levels photons. provide...

The value of fundamental physical constants is affected by the coupling matter to electromagnetic vacuum state, as predicted and explained quantum electrodynamics. In this work, we present a millikelvin magnetotransport experiment in Hall regime that assesses possibility von Klitzing constant being modified strong cavity fields. By employing Wheatstone bridge, measure difference between quantized resistance cavity-embedded bar standard, achieving an accuracy down one part <a:math...

Views Icon Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Twitter Facebook Reddit LinkedIn Tools Reprints and Permissions Cite Search Site Citation Vasil Rokaj, Fotis K. Diakonos, Gabriel González; Comment on Erratum: “Relation between Poisson Schrödinger equations” [Am. J. Phys. 80, 715–719 (2012)]. American Journal of Physics 1 August 2014; 82 (8): 802–803. https://doi.org/10.1119/1.4884037 Download citation file: Ris (Zotero) Reference Manager EasyBib...

Condensed matter physics and quantum electrodynamics (QED) have been long considered as distinct disciplines. This situation is changing by the progress in cavity QED materials. Motivated these advances we aim to bridge fields merging fundamental concepts coming from both sides. In first part of thesis present how non-relativistic can be constructed discuss light-matter interaction different gauges that neglecting particular quadratic terms lead instabilities. second part, revisit Sommerfeld...

We study the quantum Hall effect in a two-dimensional homogeneous electron gas coupled to cavity field. As initially pointed out by Kohn, Galilean invariance for system implies that electronic center of mass (c.m.) decouples from electron-electron interaction, and energy c.m. mode, also known as Kohn is equal single particle cyclotron transition. In this work, we point strong light-matter hybridization between mode photons gives rise collective hybrid modes Landau levels photons. provide...

This work lays the foundation to accurately describe ground-state properties in multimode photonic environments and highlights importance of mass renormalization procedure for ab-initio quantum electrodynamics simulations. We first demonstrate this free particles, where energy dispersion is employed determine particles. then show how photon field influences various ground excited-state atomic molecular systems. For instance, we observe enhancement localization system, modification potential...

We propose leveraging strong and ultrastrong light-matter coupling to efficiently generate exchange nonclassical light quantum matter states. Two initial conditions are considered: (a) a displaced quadrature-squeezed state, (b) coherent state in cavity. In both scenarios, polaritons mediate the dynamical generation transfer of states between matter. By monitoring dynamics subsystems, we uncover emergence beatings collective oscillations. The beating period depends on particle density through...

Strong coupling between matter and vacuum electromagnetic fields in a cavity can induce novel quantum phases thermal equilibrium via symmetry breaking. Particularly, with circularly polarized break time-reversal symmetry, leading to topological modifications the band structure. Therefore, chiral optical cavities that host are being sought, especially terahertz (THz) frequency range, where various large-oscillator-strength resonances exist. Here, we present approach achieving THz...

Abstract We propose leveraging strong and ultrastrong light-matter coupling to efficiently generate exchange nonclassical light quantum matter states. Two initial conditions are considered: (a) a displaced quadrature-squeezed state, (b) coherent state in cavity. In both scenarios, polaritons mediate the dynamical generation transfer of states between matter. By monitoring dynamics subsystems, we uncover emergence cavity-induced beatings collective oscillations. The beating period depends on...

Experiments at the interface of quantum-optics and chemistry have revealed that strong coupling between light matter can substantially modify chemical physical properties molecules solids. While theoretical description such situations is usually based on non-relativistic quantum electrodynamics, which contains quadratic light-matter terms, it commonplace to disregard these terms restrict purely bilinear couplings. In this work we clarify origin substantial impact most common diamagnetic...

An analytic closed form solution is derived for the bound states of a two-dimensional electron gas subject to static, inhomogeneous ($1/r$ in plane decaying) magnetic field, including Zeeman interaction. The provides access many-body properties two-dimensional, noninteracting, thermodynamic limit. Radially distorted Landau levels can be identified as well field induced density and current oscillations close impurity. These radially localized depend strongly on coupling spin which gives rise...

Strongly coupling materials to cavity fields can affect their electronic properties altering the phases of matter. We study monolayer graphene whose electrons are coupled both left and right circularly polarized photons, time-reversal symmetry is broken due a phase shift between two polarizations. develop many-body perturbative theory, derive mediated interactions. This theory leads gap equation which predicts sizable topological band at Dirac nodes in vacuum when prepared an excited Fock...