Cavity-Mediated Electron-Electron Interactions: Renormalizing Dirac States in Graphene

• URL: http://arxiv.org/abs/2505.10166v1
• Date: Thu, 15 May 2025 10:50:54 GMT
• Title: Cavity-Mediated Electron-Electron Interactions: Renormalizing Dirac States in Graphene
• Authors: Hang Liu, Francesco Troisi, Hannes Hübener, Simone Latini, Angel Rubio,
• Abstract summary: We develop a non-perturbative quantum electrodynamical approach based on a photon-free self-consistent Hartree-Fock framework.<n>We investigate graphene coupled to the vacuum field fluctuations of cavity photon modes with different types of polarizations.<n>The nonlocal interactions induced by a quantum linearly polarized photon mode give rise to the formation of flat bands and the opening of a topologically trivial Dirac gap.
• Score: 1.8644164672946129
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Embedding materials in optical cavities has emerged as a strategy for tuning material properties. Accurate simulations of electrons in materials interacting with quantum photon fluctuations of a cavity are crucial for understanding and predicting cavity-induced phenomena. In this article, we develop a non-perturbative quantum electrodynamical approach based on a photon-free self-consistent Hartree-Fock framework to model the coupling between electrons and cavity photons in crystalline materials. We apply this theoretical approach to investigate graphene coupled to the vacuum field fluctuations of cavity photon modes with different types of polarizations. The cavity photons introduce nonlocal electron-electron interactions, originating from the quantum nature of light, that lead to significant renormalization of the Dirac bands. In contrast to the case of graphene coupled to a classical circularly polarized light field, where a topological Dirac gap emerges, the nonlocal interactions induced by a quantum linearly polarized photon mode give rise to the formation of flat bands and the opening of a topologically trivial Dirac gap. When two symmetric cavity photon modes are introduced, Dirac cones remain gapless, but a Fermi velocity renormalization yet indicates the relevant role of nonlocal interactions. These effects disappear in the classical limit for coherent photon modes. This new self-consistent theoretical framework paves the way for the simulation of non-perturbative quantum effects in strongly coupled light-matter systems, and allows for a more comprehensive discovery of novel cavity-induced quantum phenomena.

Related papers

• Cavity-QED-controlled two-dimensional Moiré Excitons without twisting [0.0]
  We propose an all-optical Moir'e-like exciton confinement by means of spatially periodic optical cavities.<n>We find that in the classical limit of a laser driven cavity the induced optical confinement directly emulates Moir'e physics.<n>We attribute these effects to long-range cavity-mediated exciton-exciton interactions which can only be captured in a non-perturbative treatment.
  arXiv  Detail & Related papers  (2025-08-04T13:10:55Z)
• Quantum theory of surface lattice resonances [0.0]
  In-plane diffractive modes known as surface lattice resonances ( SLRs) give rise to high-$Q$ in-plane diffractive modes.<n>We show how SLRs can facilitate coupling between the nanoparticles array and collective vibrational modes.<n>Our work provides a seamless framework to rigorously model SLR phenomena with quantum emitters.
  arXiv  Detail & Related papers  (2025-02-05T02:47:07Z)
• Quantum optical scattering by macroscopic lossy objects: A general approach [55.2480439325792]
  We develop a general approach to describe the scattering of quantum light by a lossy macroscopic object placed in vacuum.<n>We exploit the input-output relation to connect the output state of the field to the input one.<n>We analyze the impact of the classical transmission and absorption dyadics on the transitions from ingoing to outgoing s-polariton.
  arXiv  Detail & Related papers  (2024-11-27T17:44:29Z)
• Directional spontaneous emission in photonic crystal slabs [49.1574468325115]
  Spontaneous emission is a fundamental out-of-equilibrium process in which an excited quantum emitter relaxes to the ground state due to quantum fluctuations. One way to modify these photon-mediated interactions is to alter the dipole radiation patterns of the emitter, e.g., by placing photonic crystals near them. Our study delves into the interaction between these directional emission patterns and the aforementioned variables, revealing the untapped potential to fine-tune collective quantum optical phenomena.
  arXiv  Detail & Related papers  (2023-12-04T15:35:41Z)
• Quantum vortices of strongly interacting photons [52.131490211964014]
  Vortices are hallmark of nontrivial dynamics in nonlinear physics. We report on the realization of quantum vortices resulting from a strong photon-photon interaction in a quantum nonlinear optical medium. For three photons, the formation of vortex lines and a central vortex ring attests to a genuine three-photon interaction.
  arXiv  Detail & Related papers  (2023-02-12T18:11:04Z)
• Photon-mediated interactions near a Dirac photonic crystal slab [68.8204255655161]
  We develop a theory of dipole radiation near photonic Dirac points in realistic structures. We find positions where the nature of the collective interactions change from being coherent to dissipative ones. Our results significantly improve the knowledge of Dirac light-matter interfaces.
  arXiv  Detail & Related papers  (2021-07-01T14:21:49Z)
• Quantum electrodynamics in anisotropic and tilted Dirac photonic lattices [0.0]
  We show how isotropic Dirac-photons can lead to non-exponential spontaneous emission as well as dissipation-less long-range emitter interactions. In particular, we show how by changing the anisotropy of the lattice one can change both the spatial shape of the interactions as well as its coherent/incoherent nature.
  arXiv  Detail & Related papers  (2021-06-20T19:55:30Z)
• Light-matter interactions near photonic Weyl points [68.8204255655161]
  Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerated at a single momentum point, labeled as Weyl point. We analyze the dynamics of a single quantum emitter coupled to a Weyl photonic bath as a function of its detuning with respect to the Weyl point.
  arXiv  Detail & Related papers  (2020-12-23T18:51:13Z)
• Directional emission of down-converted photons from a dielectric nano-resonator [55.41644538483948]
  We theoretically describe the generation of photon pairs in the process of spontaneous parametric down-conversion. We reveal that highly directional photon-pair generation can be observed utilising the nonlinear Kerker-type effect.
  arXiv  Detail & Related papers  (2020-11-16T10:30:04Z)
• Quantum Kinetics of the Magneto Photo Galvanic Effect [0.0]
  We derive quasiclassical equations for Bloch electrons in noncentrosymmetric crystals upon excitation with quasimonochromatic radiation. These equations are the analog to the semiconductor-Bloch-equations for the dynamics of electrons including the photogalvanic effect (PGE) We disprove existing statements that the shift-photogalvanic effect does not contribute to the photo-Hall current.
  arXiv  Detail & Related papers  (2020-09-27T14:55:00Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.