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A classical problem in acoustic (and electromagnetic) scattering concerns the evaluation of the Green's function for the Helmholtz equation subject to impedance boundary conditions on a half-space. The two principal approaches used for…

Numerical Analysis · Mathematics 2012-11-28 Michael O'Neil , Leslie Greengard , Andras Pataki

When light and matter interact strongly, the resulting hybrid system inherits properties from both constituents, allowing one to modify material behavior by engineering the surrounding electromagnetic environment. This concept underlies the…

We benchmark a selection of semiclassical and perturbative dynamics techniques by investigating the correlated evolution of a cavity-bound atomic system to assess their applicability to study problems involving strong light-matter…

Quantum Physics · Physics 2020-01-29 Norah M. Hoffmann , Christian Schäfer , Niko Säkkinen , Angel Rubio , Heiko Appel , Aaron Kelly

As atom-cavity systems are becoming more sophisticated, the limitations of the Jaynes-Cummings model are becoming more apparent. In this paper, we therefore take a more dynamical approach to the modelling of atom-cavity systems and do not…

Quantum Physics · Physics 2026-04-28 Abeer Al Ghamdi , Gin Jose , Almut Beige

Cavity mode theory and analysis of open cavities and plasmonic particles is an essential component of optical resonator physics, offering considerable insight and efficiency for connecting to classical and quantum optical properties such as…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Mohsen Kamandar Dezfouli , Stephen Hughes

Classical coupled harmonic oscillator models are capable of describing the optical and infrared response of nanophotonic systems where a cavity photon couples to dipolar matter excitations. The distinct forms of coupling adopted in these…

Quantum Physics · Physics 2025-02-20 Unai Muniain , Javier Aizpurua , Rainer Hillenbrand , Luis Martín-Moreno , Ruben Esteban

The quantum behavior of superconducting qubits coupled to resonators is very similar to that of atoms in optical cavities [1, 2], in which the resonant cavity confines photons and promotes strong light-matter interactions. The cavity…

We develop a new semiclassical approach, which starts with the density matrix given by the Euclidean time path integral with fixed coinciding endpoints, and proceed by identifying classical (minimal Euclidean action) path, to be referred to…

High Energy Physics - Theory · Physics 2016-06-01 M. A. Escobar-Ruiz , E. Shuryak , A. V. Turbiner

Optical cavities are a cornerstone of photonics. They are indispensable in lasers, optical filters, optical combs and clocks, in quantum physics, and have enabled the detection of gravitational waves. Cavities transmit light only at…

We develop a semiclassical framework for studying quantum particles constrained to curved surfaces using the momentous quantum mechanics formalism, which extends classical phase-space to include quantum fluctuation variables (moments). In a…

Quantum Physics · Physics 2026-01-29 Guillermo Chacon-Acosta , H. Hernandez-Hernandez , J. Ruvalcaba-Rascon

After a pedagogical introduction to the concept of resonance in classical and quantum mechanics, some interesting applications are discussed. The subject includes resonances occurring as one of the effects of radiative reaction, the…

Quantum Physics · Physics 2009-02-26 O. Rosas-Ortiz , N. Fernandez-Garcia , Sara Cruz y Cruz

We present a detailed study of scattering by an amplitude-modulated potential barrier using three distinct physical frameworks: quantum, classical, and semiclassical. Classical physics gives bounds on the energy and momentum of the…

By following the trajectories of quantum particles inside a periodic lattice and preserving their classical probabilities for reflection, transmission and absorption at each lattice plane, classical scattering outcomes are obtained.…

Materials Science · Physics 2007-05-23 Sérgio L. Morelhão , Luis H. Avanci

Closed expressions are derived for resonant multidimensional X-ray spectroscopy using the quasiparticle nonlinear exciton representation of optical response. This formalism is applied to predict coherent four wave mixing signals which probe…

Strongly Correlated Electrons · Physics 2015-05-13 U. Harbola , S. Mukamel

Multiphonon processes in a model quantum dot (QD) containing two electronic states and several optical phonon modes are considered taking into account both intra- and inter-level terms. The Hamiltonian is exactly diagonalized including a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Vasilevskiy , E. V. Anda , S. S. Makler

Semiclassical transformation theory implies an integral representation for stationary-state wave functions $\psi_m(q)$ in terms of angle-action variables ($\theta,J$). It is a particular solution of Schr\"{o}dinger's time-independent…

Quantum Physics · Physics 2009-11-10 Edward D. Davis

We develop quantum-optical input-output theory for resonators with arbitrary coupling strength, and for input fields whose spectrum can be wider than the cavity free-spectral range, while ensuring that the field-operator commutator…

Quantum Physics · Physics 2015-06-17 M. G. Raymer , C. J. McKinstrie

The method of two-point quasiclassical Green's function is reviewed and its applicability for description of multiple reflections/transmissions in layered structures is discussed. The Green's function of a sandwich built of superconducting…

Superconductivity · Physics 2007-05-23 M. Ozana , A. Shelankov

We present an overview of electronic device modeling using non-equilibrium Green function techniques. The basic approach developed in the early 1970s has become increasingly popular during the last 10 years. The rise in popularity was…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Roger K. Lake , Rajeev R. Pandey

The complex absorbing potential (CAP) formalism has been successfully employed in various wavefunction-based methods to study electronic resonance states. In contrast, Green's function-based methods are widely used to compute ionization…

Chemical Physics · Physics 2026-05-20 Loris Burth , Fábris Kossoski , Pierre-François Loos
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