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We develop a quantitative mathematical theory that offers new perspectives on nonlinear harmonic generation in plasmonic structures arising from symmetry breaking. Focusing on second harmonic generation--the most fundamental process and the…

Analysis of PDEs · Mathematics 2026-05-04 Hongyu Liu , Zhi-Qiang Miao , Jingfeng Yao , Chengxun Yuan , Guang-Hui Zheng

External coherent fields can drive quantum materials into non-equilibrium states, revealing exotic properties that are unattainable under equilibrium conditions -- an approach known as ``Floquet engineering.'' While optical lasers have…

Mesoscale and Nanoscale Physics · Physics 2024-11-27 Christopher Yang , Will Hunt , Gil Refael , Iliya Esin

Due to its linear dispersion, monolayer graphene is expected to generate a third harmonic response at terahertz frequencies. There have been a variety of different models of this effect and recently it has been experimentally observed.…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 Parvin Navaeipour , Marc M. Dignam

Graphene as a zero-bandgap two-dimensional semiconductor with a linear electron band dispersion near the Dirac points has the potential to exhibit very interesting nonlinear optical properties. In particular, third harmonic generation of…

Applied Physics · Physics 2018-01-31 Parvin Navaeipour , Ibraheem Al-Naib , Marc M. Dignam

Doubly enhanced third harmonic generation (THG) is realized by the electric dipole resonance (EDR) in silicon nanodisks placed onto a metallic film at near-infrared. By introducing the metal substrate, the perfect electric conductor (PEC)…

Optics · Physics 2019-12-30 Jin Yao , Na Liu , Guoxiong Cai , Qing Huo Liu

Resonant structures in modern nanophotonics are non-Hermitian (leaky and lossy), and support quasinormal modes. Moreover, contemporary cavities frequently include 2D materials to exploit and resonantly enhance their nonlinear properties or…

Computational Physics · Physics 2023-01-25 Thomas Christopoulos , Emmanouil E. Kriezis , Odysseas Tsilipakos

Ultrafast charge transport in strongly biased semiconductors is at the heart of highspeed electronics, electro-optics, and fundamental solid-state physics. Intense light pulses in the terahertz (THz) spectral range have opened fascinating…

Mesoscale and Nanoscale Physics · Physics 2016-04-14 O. Schubert , M. Hohenleutner , F. Langer , B. Urbanek , C. Lange , U. Huttner , D. Golde , T. Meier , M. Kira , S. W. Koch , R. Huber

Harmonic generation in underdense spatially homogeneous plasma is generally expected to be inefficient: in an unmagnetized uniform plasma the fundamental and its harmonics cannot be phase-matched, resulting in third-harmonic generation…

Plasma Physics · Physics 2026-01-21 S. Cao , M. R. Edwards

As the rapid development of nonlinear optics, the enhancement of optical third harmonic generation becomes a pop research realm in the fields of physics, chemistry, biology, materials science, information science and other fields. In this…

Optics · Physics 2017-11-28 Wenbo Zang , Lingling Fan , Xin Yang , Mingyu Ma , Peng Zhan , Zhuo Chen , Zhenlin Wang

High-$Q$ optical nanocavities are fundamental to modern optics and photonics, enabling enhanced light-matter interactions. Previous studies have demonstrated that high-$Q$ supercavity modes can be constructed within a single dielectric…

Optics · Physics 2026-01-21 Xu Tu , Meibao Qin , Huifu Qiu , Feng Wu , Tingting Liu , Lujun Huang , Shuyuan Xiao

Terahertz (THz) nonlinear optics offer powerful tools to investigate and manipulate electronic dynamics in condensed matter. Confining high-peak-power THz pulses within near field can effectively generates extremely localized…

Coherent control of quantum materials has progressed along two major fronts: nonlinear phononics, which reshapes lattices to induce emergent states, and Floquet engineering, which tailors electronic band reconstruction via time-periodic…

We propose a new concept to generate efficient one-third harmonic light from an unseeded third harmonic process in optical fibers. Our concept is based on the dynamic constant (Hamiltonian) of the nonlinear third harmonic generation in…

We consider the nonlinear scattering theory for three-terminal thermoelectric devices, used for power generation or refrigeration. Such systems are quantum phase-coherent versions of a thermocouple, and the theory applies to systems in…

Mesoscale and Nanoscale Physics · Physics 2017-05-25 Robert S. Whitney

We study second and third harmonic generation in centrosymmetric semiconductors at visible and UV wavelengths in bulk and cavity environments. Second harmonic generation is due to a combination of symmetry breaking, the magnetic portion of…

We develop a quasi-classical theory of high harmonic generation in semiconductors based on an interband current that has been transformed from Bloch to Wannier basis. The Wannier quasi-classical approach reveals a complete picture of the…

Mesoscale and Nanoscale Physics · Physics 2020-06-18 Andrew M. Parks , Guilmot Ernotte , Adam Thorpe , Chris R. McDonald , Paul B. Corkum , Marco Taucer , Thomas Brabec

Notwithstanding its long history, the study of nonlinear optics from metal surfaces is still an active field of research. For instance, in view of the presence of absorption questions remain concerning the possibility of significantly…

We study the process of resonant generation of high-order harmonics in a closed cavity in the model of vacuum nonlinear electrodynamics. Concretely, we study the possibility of resonant generation of the third harmonic induced by a single…

Quantum Physics · Physics 2023-07-12 Ilia Kopchinskii , Petr Satunin

High-harmonic generation (HHG), a typical nonlinear optical effect, has been actively studied in electron systems such as semiconductors and superconductors. As a natural extension, we theoretically study HHG from electric polarization,…

Strongly Correlated Electrons · Physics 2020-03-10 Tatsuhiko N. Ikeda , Masahiro Sato

The ultrafast optical manipulation of ordered phases in strongly correlated materials is a topic of significant theoretical, experimental, and technological interest. Inspired by a recent experiment on light-induced superconductivity in…

Superconductivity · Physics 2017-07-26 Mehrtash Babadi , Michael Knap , Ivar Martin , Gil Refael , Eugene Demler