Quantum nonlocal polarizability of spherical metal nanoparticles

2016 ◽  
Vol 30 (09) ◽  
pp. 1650048 ◽  
Author(s):  
Afshin Moradi
Keyword(s):  
Boundary Conditions ◽  
Plasma Waves ◽  
Hydrodynamic Theory ◽  
Explicit Calculation ◽  
Metallic Nanoparticle ◽  
The Poisson Equation ◽  
Longitudinal Plasma ◽  
Quantum Hydrodynamic ◽  
Spherical Metal Nanoparticles ◽  
Quantum Boundary Conditions

An explicit calculation of the quantum nonlocal (QNL) polarizability of a metallic nanoparticle is presented, where two quantum longitudinal plasma waves are excited. The QNL generalization of the classical Clausius–Mossotti factor of the system is derived, by means of the quantum hydrodynamic theory in conjunction with the Poisson equation and applying the appropriate additional quantum boundary conditions.

scholarly journals Plasmonic quantum effects on single-emitter strong coupling

Nanophotonics ◽  
2019 ◽  
Vol 8 (10) ◽  
pp. 1821-1833 ◽  
Author(s):  
Cristian Ciracì ◽  
Radoslaw Jurga ◽  
Muhammad Khalid ◽  
Fabio Della Sala
Keyword(s):  
Strong Coupling ◽  
Quantum Effects ◽  
Hydrodynamic Theory ◽  
Strong Coupling Regime ◽  
Efficient Tool ◽  
Metallic Particles ◽  
Plasmonic Structures ◽  
Classical Models ◽  
Quantum Hydrodynamic ◽  
Fluorescent Molecules

AbstractCoupling between electromagnetic cavity fields and fluorescent molecules or quantum emitters can be strongly enhanced by reducing the cavity mode volume. Plasmonic structures allow light confinement down to volumes that are only a few cubic nanometers. At such length scales, nonlocal and quantum tunneling effects are expected to influence the emitter interaction with the surface plasmon modes, which unavoidably requires going beyond classical models to accurately describe the electron response at the metal surface. In this context, the quantum hydrodynamic theory (QHT) has emerged as an efficient tool to probe nonlocal and quantum effects in metallic nanostructures. Here, we apply state-of-the-art QHT to investigate the quantum effects on strong coupling of a dipole emitter placed at nanometer distances from metallic particles. A comparison with conventional local response approximation (LRA) and Thomas-Fermi hydrodynamic theory results shows the importance of quantum effects on the plasmon-emitter coupling. The QHT predicts qualitative deviation from LRA in the weak coupling regime that leads to quantitative differences in the strong coupling regime. In nano-gap systems, the inclusion of quantum broadening leads to the existence of an optimal gap size for Rabi splitting that minimizes the requirements on the emitter oscillator strength.

Existence of Solutions to Poisson's Equation

2008 ◽  
Vol 51 (2) ◽  
pp. 229-235
Author(s):  
Mary Hanley
Keyword(s):  
Boundary Conditions ◽  
Poisson Equation ◽  
Existence Of Solutions ◽  
Poisson’S Equation ◽  
Poisson's Equation ◽  
The Poisson Equation ◽  
Topological Condition ◽  
Necessary And Sufficient

AbstractLet Ω be a domain in ℝn (n ≥ 2). We find a necessary and sufficient topological condition on Ω such that, for anymeasure μ on ℝn, there is a function u with specified boundary conditions that satisfies the Poisson equation Δu = μ on Δ in the sense of distributions.

PARAMETRIC EXCITATION AND QUENCHING OF LONGITUDINAL PLASMA WAVES

1969 ◽  
Vol 14 (10) ◽  
pp. 325-327 ◽  
Author(s):  
Akira Hasegawa ◽  
R. Davidson ◽  
R. Goldman
Keyword(s):  
Parametric Excitation ◽  
Plasma Waves ◽  
Longitudinal Plasma

scholarly journals Plasma waves reflection from a boundary with specular accommodative boundary conditions

2010 ◽  
Vol 50 (8) ◽  
pp. 1433-1446 ◽  
Author(s):  
N. V. Gritsienko ◽  
A. V. Latyshev ◽  
A. A. Yushkanov
Keyword(s):  
Boundary Conditions ◽  
Plasma Waves
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