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We exploit a prescription to observe directly the physical properties of the thermodynamic limit under continuously applied field in one-dimensional quantum finite lattice systems. By systematically scaling down the energy of the…

Strongly Correlated Electrons · Physics 2015-06-16 Chisa Hotta , Naokazu Shibata

The canonical quantization of the topological particle is described; it is shown that BRST quantization of the model gives the supersymmetric quantum mechanical model considered by Witten when investigating Morse theory, and the rigorous…

High Energy Physics - Theory · Physics 2009-10-31 Alice Rogers

In this article, we will discuss geometric quantization of 2d QCD with fermionic and bosonic matter fields. We identify the respective large-N_c phase spaces as the infinite dimensional Grassmannian and the infinite dimensional Disc. The…

High Energy Physics - Theory · Physics 2009-10-30 S. G. Rajeev , O. T. Turgut

The emerging field of plasmonics can lead to enhanced light matter interactions at extremely nanoscale regions. Plasmonic (metallic) devices promise to efficiently control both classical and quantum properties of light. Plasmonic waveguides…

Optics · Physics 2022-07-22 Ying Li , Christos Argyropoulos

We construct mode-selective effective models describing the interaction of the quantum plasmon-polariton field supported by a finite dielectric medium and one or several quantum emitters. The construction of the effective model is based on…

Quantum Physics · Physics 2026-04-24 Georgii Semin , Hans-Rudolf Jauslin , Gérard Colas des Francs , Stéphane Guérin

A novel fully atomistic multiscale classical approach to model the optical response of solvated real-size plasmonic nanoparticles (NPs) is presented. The model is based on the coupling of the Frequency Dependent Fluctuating Charges and…

Mesoscale and Nanoscale Physics · Physics 2024-07-04 Luca Nicoli , Sveva Sodomaco , Piero Lafiosca , Tommaso Giovannini , Chiara Cappelli

Non hermitian Hamiltonians play an important role in the study of dissipative quantum systems. We show that using states with time dependent normalization can simplify the description of such systems especially in the context of the…

Quantum Physics · Physics 2016-02-09 Kushagra Nigam , Kinjal Banerjee

The optical response of a coupled nanowire dimer is studied using a fully quantum mechanical approach. The translational invariance of the system allows to apply the time--dependent density functional theory for the plasmonic dimer with the…

Optics · Physics 2013-02-15 T. V. Teperik , P. Nordlander , J. Aizpurua , A. G. Borisov

The formalism to treat quantization and evolution of cosmological perturbations of multiple fluids is described. We first construct the Lagrangian for both the gravitational and matter parts, providing the necessary relevant variables and…

General Relativity and Quantum Cosmology · Physics 2016-02-01 Patrick Peter , Nelson Pinto-Neto , Sandro Dias Pinto Vitenti

Localized surface plasmons are charge density oscillations confined to metallic nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an incident wavelength where resonance occurs results in a strong light…

Analysis of PDEs · Mathematics 2015-06-03 Habib Ammari , Pierre Millien , Matias Ruiz , Hai Zhang

In a recent paper a slightly modified version of the Bateman system, originally proposed to describe a damped harmonic oscillator, was proposed. This system is really different from the Bateman's one, in the sense that this latter cannot be…

Mathematical Physics · Physics 2025-06-30 Fabio Bagarello

We study plasmonic excitations in the limit of few electrons, in one-atom thick sodium chains, and characterize them based on collectivity. We also compare the excitations to classical localised plasmon modes and find for the longitudinal…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 Jamie M. Fitzgerald , Sam Azadi , Vincenzo Giannini

Entanglement between two qubits (two level atoms) mediated by surface plasmons in three-dimensional plasmonic waveguides is studied using a quantum master equation formalism. Two types of waveguides, a nanowire and a V-shaped channel cut in…

Quantum Physics · Physics 2015-09-04 S. Ali Hassani Gangaraj , Andrei Nemilentsau , George W. Hanson , Stephen Hughes

Two-level boson systems displaying a quantum phase transition from a spherical (symmetric) to a deformed (broken) phase are studied. A formalism to diagonalize Hamiltonians with $O(2L+1)$ symmetry for large number of bosons is worked out.…

Statistical Mechanics · Physics 2007-05-23 S. Dusuel , J. Vidal , J. M. Arias , J. Dukelsky , J. E. Garcia-Ramos

We report theoretical evidence that bulk nonlinear materials weakly interacting with highly localized plasmonic modes in ultra-sub-wavelength metallic nanostructures can lead to nonlinear effects at the single plasmon level in the visible…

Mesoscale and Nanoscale Physics · Physics 2017-04-27 Filippo Alpeggiani , Stefania D'Agostino , Daniele Sanvitto , Dario Gerace

We present an ab-initio study of the hybridization of localized surface plasmons in a metal nanoparticle dimer. The atomic structure, which is often neglected in theoretical studies of quantum nanoplasmonics, has a strong impact on the…

We theoretically investigate plasmon polaritons in cubic lattices of spherical metallic nanoparticles. The nanoparticles, each supporting triply-degenerate localized surface plasmons, couple through the Coulomb dipole-dipole interaction,…

Mesoscale and Nanoscale Physics · Physics 2018-03-12 Simon Lamowski , Charlie-Ray Mann , Felicitas Hellbach , Eros Mariani , Guillaume Weick , Fabian Pauly

The classical theory for a massive free particle moving on the group manifold $AdS_3 \cong SL(2, \mathbb{R})$ is analysed in detail. In particular a symplectic structure and two different sets of canonical coordinates are explicitly found,…

High Energy Physics - Theory · Physics 2014-11-18 James Lucietti

These notes, intended to be self contained and tutorial, present a direct, macroscopic approach to quantizing light inside a linear-response dielectric material when both spectral dispersion and spatial nonuniformity are present, but the…

Quantum Physics · Physics 2020-02-19 Michael G. Raymer

Simple analytic expressions for the polarizability of metallic nanoparticles are in wide use in the field of plasmonics, but their origins are not obvious. In this article, expressions for the polarizability of a particle are derived in the…

Optics · Physics 2016-09-15 William L. Barnes