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In this work, we present a new result which concerns the derivation of the Green function relative to the time-independent Schrodinger equation in two dimensional space. The system considered in this work is a quantum particle that have an…

Quantum Physics · Physics 2021-12-06 Brahim Ben Ali , Mohammed Tayeb Meftah

We develop a theory of laser beam generation of shift currents in non-centrosymmetric semiconductors. The currents originate when the excited electrons transfer between different bands or scatter inside these bands, and asymmetrically shift…

Materials Science · Physics 2009-10-31 Petr Kral

We investigate the feasibility of extracting infinite volume scattering phase shift on quantum computers in a simple one-dimensional quantum mechanical model, using the formalism established in Ref.~\cite{Guo:2023ecc} that relates the…

Quantum Physics · Physics 2026-03-09 Peng Guo , Paul LeVan , Frank X. Lee , Yong Zhao

The theory of energy transfer dynamics of a pair of donor and acceptor molecules located in the plasmonic hot spots is developed by means of the master equation approach and the electromagnetic Green's tensor technique. A nonlocal effect…

Optics · Physics 2017-12-29 Jun Ren , Tian Chen , Bo Wang , Xiangdong Zhang

This paper discusses the technical aspects - mathematical and numerical - associated with the numerical simulations of a mesoscopic system in the time domain (i.e. beyond the single frequency AC limit). After a short review of the state of…

Mesoscale and Nanoscale Physics · Physics 2014-04-04 Benoit Gaury , Joseph Weston , Matthieu Santin , Manuel Houzet , Christoph Groth , Xavier Waintal

We provide theory and formal insight on the Green function quantization method for absorptive and dispersive spatial-inhomogeneous media in the context of dielectric media. We show that a fundamental Green function identity, which appears,…

Mesoscale and Nanoscale Physics · Physics 2020-09-01 Sebastian Franke , Juanjuan Ren , Stephen Hughes , Marten Richter

Inter-edge channel interactions in the quantum Hall regime at filling factor nu= 2 are analyzed within a plasmon scattering formalism. We derive analytical expressions for energy redistribution amongst edge channels and for high frequency…

Mesoscale and Nanoscale Physics · Physics 2010-10-26 Pascal Degiovanni , Charles Grenier , Gwendal Fève , Carles Altimiras , Hélène Le Sueur , Frédéric Pierre

We develop a framework that provides a few-mode master equation description of the interaction between a single quantum emitter and an arbitrary electromagnetic environment. The field quantization requires only the fitting of the spectral…

The scattering of electromagnetic pulses is described using a non-singular boundary integral method to solve directly for the field components in the frequency domain, and Fourier transform is then used to obtain the complete space-time…

Optics · Physics 2023-07-19 Evert Klaseboer , Qiang Sun , Derek Y. C. Chan

In this Letter, we analyze the quantum dynamics of the perceptron model: a particle is constrained on a $N$-dimensional sphere, with $N\to \infty$, and subjected to a set of randomly placed hard-wall potentials. This model has several…

Disordered Systems and Neural Networks · Physics 2021-05-05 Claudia Artiaco , Federico Balducci , Giorgio Parisi , Antonello Scardicchio

Sub-wavelength arrays of quantum emitters offer an efficient free-space approach to coherent light-matter interfacing, using ultracold atoms or two-dimensional solid-state quantum materials. The combination of collectively suppressed…

Quantum Gases · Physics 2024-12-16 Simon Panyella Pedersen , Georg M. Bruun , Thomas Pohl

A new approach to generalised Casimir type of problems is derived within the context of renormalisable quantum field theory (QFT). We study the simplest case of a massive fluctuating boson field coupled to a time-independent background…

High Energy Physics - Theory · Physics 2007-05-23 Markus Quandt

Quantum nanosystems such as graphene nanoribbons or superconducting nanoparticles are studied via a multiscale approach. Long space-time dynamics is derived using a perturbation expansion in the ratio of the nearest-neighbor distance to a…

Quantum Physics · Physics 2011-03-10 Zeina Shreif , Peter Ortoleva

A formal derivation is presented of the energy transfer rate between radiation and matter due to the scattering of an isotropic distribution of resonant photons. The derivation is developed in the context of the two-level atom in the…

Astrophysics · Physics 2010-04-29 Avery Meiksin

The superscaling analysis is extended to include quasielastic (QE) scattering via the weak neutral current of neutrinos and antineutrinos from nuclei. The scaling function obtained within the coherent density fluctuation model (used…

We study the statistics of the fluorescence decay rates for single quantum emitters embedded in a scattering medium undergoing a phase transition. Under certain circumstances, the structural properties of the scattering medium explore a…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 N. de Sousa , J. J. Sáenz , F. Scheffold , A. García-Martín , L. S. Froufe-Pérez

By an idealized quantum mechanical model, we formally describe the dispersion of nonretarded electromagnetic waves that express charge density oscillations near a fixed plane in three spatial dimensions (3D) at zero temperature. Our goal is…

Mathematical Physics · Physics 2026-04-16 Dionisios Margetis

An approach to the description of subdynamics inside non-relativistic quantum field theory is presented, in which the notions of relevant observable, time scale and complete positivity of the time evolution are stressed. A scattering theory…

Quantum Physics · Physics 2009-11-07 Ludovico Lanz , Bassano Vacchini

We present a method for calculating scattering phase shifts which utilizes continuum-discretized states obtained in a bound-state type calculation. The wrong asymptotic behavior of the discretized state is remedied by means of the Green's…

Nuclear Theory · Physics 2015-05-13 Y. Suzuki , W. Horiuchi , K. Arai

The Schroedinger equation with an energy-dependent complex absorbing potential, associated with a scattering system, can be reduced for a special choice of the energy-dependence to a harmonic inversion problem of a discrete pseudo-time…

Chemical Physics · Physics 2009-11-07 A. Neumaier , V. A. Mandelshtam