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Nonlinear dynamics of wave packets in two-dimensional parity-time-symmetric optical lattices near the phase-transition point are analytically studied. A novel fourth-order equation is derived for the envelope of these wave packets. A…

Optics · Physics 2016-04-13 Sean Nixon , Jianke Yang

The study of transverse optical pattern formation has been studied extensively in nonlinear optics, with a recent experimental interest in studying the phenomenon using cold atoms, which can undergo real-space self-organization. Here, we…

Atomic Physics · Physics 2016-08-15 Bonnie L. Schmittberger , Daniel J. Gauthier

We develop a microscopic large-$N$ theory of electron-electron interaction corrections to multi-legged Feynman diagrams describing second- and third-order nonlinear response functions. Our theory, which reduces to the well-known random…

Materials Science · Physics 2017-01-25 Habib Rostami , Mikhail I. Katsnelson , Marco Polini

Optical parametric process occurring in a photonic band-gap planar waveguide is studied from the point of view of nonclassical-light generation. Nonlinearly interacting optical fields are described by the generalized superposition of…

Quantum Physics · Physics 2009-11-10 Jan Perina , Concita Sibilia , Daniela Tricca , Mario Bertolotti

The structure of the electronic nonlinear optical conductivity is elucidated in a detailed study of the time-reversal symmetric two-band model. The nonlinear conductivity is decomposed as a sum of contributions related with different…

Other Condensed Matter · Physics 2021-09-22 D. J. Passos , G. B. Ventura , J. M. B. Lopes dos Santos , J. M. Viana Parente Lopes

Realizing systems that support robust, controlled interactions between individual photons is an exciting frontier of nonlinear optics. To this end, one approach that has emerged recently is to leverage atomic interactions to create strong…

Quantum Physics · Physics 2016-08-11 James S. Douglas , Tommaso Caneva , Darrick E. Chang

Optical nonlinearity depends on symmetry and symmetries vanish in the presence of defects. Vaccancy defects in centrosymmetric crystals and thin films are a well-known source of even-order optical nonlinearity, e.g. causing second harmonic…

Optics · Physics 2022-03-02 Jie Xu , Eric Plum

Material systems with lone-pair electrons have long been a treasure trove in the search for large second harmonic generation effects. Revealing the origin of second harmonic generation in nonlinear optical materials can provide theoretical…

Materials Science · Physics 2025-05-13 Fuming Li , Shilie Pan , Zhihua Yang

The generation of high-order harmonics in bulk solids subjected to intense ultrashort laser pulses has opened up new avenues for research in extreme nonlinear optics and light-matter interaction on sub-cycle timescales. Despite significant…

In this article we provide a practical prescription to harness the rigorous microscopic, quantum level descriptions of light-matter systems provided by Hopfield diagonalisation for quantum description of nonlinear scattering. A general…

Mesoscale and Nanoscale Physics · Physics 2017-01-25 Christopher R. Gubbin , Simone De Liberato

The problem of plane-wave diffraction on semi-infinite orthorhombic electromagnetic (photonic) crystals of general kind is considered. Boundary conditions are obtained in the form of infinite system of equations relating amplitudes of…

Materials Science · Physics 2009-11-10 Pavel A. Belov , Constantin R. Simovski

In our earlier work on harmonic generation with complex light [Nature Communications 15, 6878 (2024)], we demonstrated how the harmonic spectrum of a complex laser beam in a nonlinear medium can be obtained through the judicious application…

Optics · Physics 2025-11-17 Raoul Trines , Holger Schmitz , Martin King , Paul McKenna , Robert Bingham

Phononic crystals and acoustic meta-materials are used to tailor phonon and sound propagation properties by facilitating artificial, periodic structures. Analogous to photonic crystals, phononic band gaps can be created, which influence…

Mesoscale and Nanoscale Physics · Physics 2014-09-18 Daniel Midtvedt , Andreas Isacsson , Alexander Croy

We propose a lattice model, in both one- and multidimensional versions, which may give rise to matching conditions necessary for the generation of solitons through the second-harmonic generation. The model describes an array of linearly…

Statistical Mechanics · Physics 2009-10-31 Vladimir V. Konotop , Boris A. Malomed

Atoms in a sub-wavelength lattices have remarkable optical properties that have become of high scientific and technological significance. Here, we show how the coupling of light to more than a single atomic array can expand these…

Quantum Physics · Physics 2023-03-31 Simon Panyella Pedersen , Lida Zhang , Thomas Pohl

Nonlinear-optical manifestations of the Borrmann effect that are consequences of the spectral dependence of the spatial distributions of the electromagnetic field in a structure are observed in one-dimensional photonic crystals. The…

Optics · Physics 2009-11-13 I. Razdolski , T. Murzina , O. Aktsipetrov , M. Inoue

There is currently a strong interest in mirrorless lasing systems, in which the electromagnetic feedback is provided either by disorder (multiple scattering in the gain medium) or by order (multiple Bragg reflection). These mechanisms…

Atomic Physics · Physics 2015-05-30 Alexander Schilke , Claus Zimmermann , Philippe W. Courteille , William Guerin

Near-infrared-to-visible second harmonic generation from air-stable two-dimensional polar gallium and indium metals is described. The photonic properties of 2D metals - including the largest second-order susceptibilities reported for metals…

Plasmons in atomically thin materials offer a compelling route to trigger nonlinear light-matter interactions through extreme optical confinement in the two-dimensional (2D) limit. However, optical nonlocality in plasmons is typically…

Mesoscale and Nanoscale Physics · Physics 2025-12-23 Line Jelver , Joel D. Cox

Nonlinear optics is of crucial importance in several fields of science and technology with applications in frequency conversion, entangled-photon generation, self-referencing of frequency combs, crystal characterization, sensing, and…

Optics · Physics 2022-09-19 O. Dogadov , C. Trovatello , B. Yao , G. Soavi , G. Cerullo