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We present a rigorous spectral analysis of plasmonic resonances in the nonlocal regime of spatially dispersive media. We adopt the quasi-static approximation of the hydrodynamic Drude model, which provides an analytically tractable setting…

Analysis of PDEs · Mathematics 2026-04-21 Hyundae Lee , Matias Ruiz , Sanghyeon Yu

We theoretically demonstrate the ability of electron beams to probe the nonlinear photonic response with nanometer spatial resolution, well beyond the capabilities of existing optical techniques. Although the interaction of electron beams…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 Andrea Konečná , Valerio Di Giulio , Vahagn Mkhitaryan , Claus Ropers , F. Javier García de Abajo

In electromagnetics and photonics, "nonlocality" refers to the phenomenon by which the response/output of a material or system at a certain point in space depends on the input field across an extended region of space. While nonlocal effects…

Optics · Physics 2023-02-01 Kunal Shastri , Francesco Monticone

Nonclassical states of light play a central role in many quantum information protocols. Their quantum features have been exploited to improve the readout of information from digital memories, modelled as arrays of microscopic beam splitters…

Quantum Physics · Physics 2015-09-04 Gaetana Spedalieri , Cosmo Lupo , Stefano Pirandola

With recent experiments investigating the optical properties of progressively smaller plasmonic particles, quantum effects become increasingly more relevant, requiring a microscopic description. Using the density matrix formalism we analyze…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Alexandra Crai , Andreas Pusch , Doris E. Reiter , Lara Román Castellanos , Tilmann Kuhn , Ortwin Hess

Within our recently proposed generalized nonlocal optical response (GNOR) model, we revisit the fundamental problem of an optically excited plasmonic dimer. The dimer consists of two identical cylinders separated by a nanometre-sized gap.…

The directional control of light in miniaturized plasmonic waveguides holds appealing possibilities for emerging nanophotonic technologies, but is hindered by the intrinsic reciprocal optical response of conventional plasmonic materials.…

Mesoscale and Nanoscale Physics · Physics 2026-02-05 Álvaro Rodríguez Echarri , F. Javier García de Abajo , Joel D. Cox

We propose a distant-neighbor quantum-mechanical (DNQM) approach to study the linear and nonlinear optical properties of graphene nanoflakes (GNFs). In contrast to the widely used tight-binding description of the electronic states that…

Mesoscale and Nanoscale Physics · Physics 2018-02-08 Hanying Deng , David Zs. Manrique , Xianfeng Chen , Nicolae C. Panoiu , Fangwei Ye

The plasmon response of metallic nanostructures is anticipated to exhibit nonlocal dynamics of the electron gas when exploring the true nanoscale. We extend the local-response approximation (based on Ohm's law) to account for a general…

Mesoscale and Nanoscale Physics · Physics 2014-03-04 N. Asger Mortensen

Electron energy loss spectroscopy (EELS) can be used to probe plasmon excitations in nanostructured materials with atomic-scale spatial resolution. For structures smaller than a few nanometers quantum effects are expected to be important,…

Mesoscale and Nanoscale Physics · Physics 2013-01-03 Kirsten Andersen , Karsten W. Jacobsen , Kristian S. Thygesen

We present a novel wave equation for linearized plasmonic response, obtained by combining the coupled real-space differential equations for the electric field and current density. Nonlocal dynamics are fully accounted for, and the…

We present a self-consistent quantum optics approach to calculating the surface enhanced Raman spectrum of molecules coupled to arbitrarily shaped plasmonic systems. Our treatment is intuitive to use and provides fresh analytical insight…

Optics · Physics 2017-06-26 Mohsen Kamandar Dezfouli , Stephen Hughes

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

Quantum interferometry methods exploit quantum resources, such as photonic entanglement, to enhance phase estimation beyond classical limits. Nonlinear optics has served as a workhorse for the generation of entangled photon pairs, ensuring…

Quantum Physics · Physics 2025-08-04 Romain Dalidet , Anthony Martin , Grégory Sauder , Laurent Labonté , Sébastien Tanzilli

We study the effect of electron spill-out and of nonlocality on the propagation of light inside a gap between two semi-infinite metallic regions. We compare the predictions of a local response model taking into account only the spill-out,…

Optics · Physics 2021-11-01 M. Khalid , O. Morandi , E. Mallet , P. A. Hervieux , G. Manfredi , A. Moreau , C. Ciracì

Electrons in graphene behave like relativistic Dirac particles which can reduce velocity of light by two orders of magnitude in the form of plasmon-polaritons. Here we show how these properties lead to a peculiar nonlinear plasmon response…

Optics · Physics 2020-03-02 Marinko Jablan

Quadratic Lindbladians encompass a rich class of dissipative electronic and bosonic quantum systems, which have been predicted to host new and exotic physics. In this study, we develop a Lindblad-Keldysh spectroscopic response formalism for…

Mesoscale and Nanoscale Physics · Physics 2026-01-22 Spenser Talkington , Martin Claassen

Understanding light-matter interactions using localized surface plasmons (LSPs) is of fundamental interest in classical and quantum plasmonics and has a wide range of applications. In order to understand the spatial properties of LSPs,…

Mesoscale and Nanoscale Physics · Physics 2016-03-22 Rong-Chun Ge , Stephen Hughes

Nonclassical states of light play a central role in many quantum information protocols. Their quantum features have been exploited to improve the readout of information from digital memories, modelled as arrays of microscopic beam splitters…

We show that a nonlinear optical response associated with a resonant, atomically thin material can be dramatically enhanced by placing it in front of a partially reflecting mirror, rendering otherwise weakly nonlinear systems suitable for…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Dominik S. Wild , Ephraim Shahmoon , Susanne F. Yelin , Mikhail D. Lukin