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In this paper we first derive a Coulomb Hamiltonian for electron--electron interaction in quantum dots in the Heisenberg picture. Then we use this Hamiltonian to enhance a Bloch model, which happens to be nonlinear in the density matrix.…

Mathematical Physics · Physics 2014-02-13 Brigitte Bidégaray-Fesquet , Kole Keita

Although semiconductor Bloch equations have been widely used for decades to address ultrafast optical phenomena in semiconductors, they have a few important drawbacks: (i) Coulomb terms between free electron-hole pairs require Hartree-Fock…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 M. Combescot , O. Betbeder-Matibet , M. N. Leuenberger

We study the effect of Coulomb interaction on the few-electron dynamics in coupled semiconductor quantum dots by exact diagonalization of the few-body Hamiltonian. The oscillation of carriers is strongly affected by the number of confined…

Mesoscale and Nanoscale Physics · Physics 2008-09-26 Andrea Bertoni , Juan I. Climente , Massimo Rontani , Guido Goldoni , Ulrich Hohenester

Coulomb correlations in the optical spectra of semiconductor quantum dots are investigated using a full-diagonalization approach. The resulting multi-exciton spectra are discussed in terms of the symmetry of the involved states.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Norman Baer , Paul Gartner , Frank Jahnke

We present a microscopic and fully quantized model to investigate the interaction between semiconductor nanostructures and quantum light fields including the many-body Coloumb interaction between photoexcited electrons and holes. Our…

Mesoscale and Nanoscale Physics · Physics 2026-01-29 Hendrik Rose , Stefan Schumacher , Torsten Meier

The generation and evolution of entanglement in quantum many-body systems is an active area of research that spans multiple fields, from quantum information science to the simulation of quantum many-body systems encountered in condensed…

We develop a theoretical description of Coulomb interactions between trions (charged excitons) that define a nonlinear optical response in doped two-dimensional semiconductors. First, we formulate a microscopic theory of trion-trion…

Mesoscale and Nanoscale Physics · Physics 2022-07-07 Kok Wee Song , Salvatore Chiavazzo , Ivan A. Shelykh , Oleksandr Kyriienko

Coulomb interactions in atomically thin materials are uniquely sensitive to variations in the dielectric screening of the environment, which can be used to control quasiparticles and exotic quantum many-body phases. A static approximation…

With the shrinking of dimensionality, Coulomb interactions play a distinct role in two-dimensional (2D) semiconductors owing to the reduced dielectric screening in the out-of-plane direction. Apart from dielectric screening, free charge…

Materials Science · Physics 2025-10-27 Ke Xiao , Chi-Ming Kan , Stuart. S. P. Parkin , Xiaodong Cui

We present a full derivation of the interaction Hamiltonian for holes in silicon within the six-band envelope-function scheme, which appropriately describes the valence band close to the $\boldsymbol{\Gamma}$ point. The full structure of…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Andrea Secchi , Laura Bellentani , Andrea Bertoni , Filippo Troiani

One approximation is made to describe a M+1 electron many-body wavefunction by a M electron many-body wavefunction and a single electron wavefunction. Under this approximation, we have derived the Coulomb energy which relates the exciton…

Materials Science · Physics 2007-05-23 Lin-Wang Wang

The non-linear response of a beam splitter to the coincident arrival of interacting particles enables numerous applications in quantum engineering and metrology yet poses considerable challenge to achieve focused interactions on the…

We present a consistent theoretical description of few-particle effects in the optical spectra of semiconductor quantum dots, based on a direct-diagonalization approach. We show that, because of the strong Coulomb interaction among…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Ulrich Hohenester , Elisa Molinari

Coulomb interaction has important consequences on the physics of quantum spin Hall edge states, weakening the topological protection via two-particle scattering and renormalizing both the velocity and charge of collective plasmon modes…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Alexandre Gourmelon , Hiroshi Kamata , Jean-Marc Berroir , Gwendal Fève , Bernard Plaçais , Erwann Bocquillon

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

The main objective of the present work is the development of an analytically tractable model of screened electron-electron and electron-exciton interactions in layered systems composed of two parallel semiconductor quantum wells separated…

Mesoscale and Nanoscale Physics · Physics 2011-10-14 Henni Ouerdane

A novel approach for the control of exciton-exciton Coulomb coupling in semiconductor macroatoms/molecules is proposed. We show that by applying properly tailored external fields, we can induce ---or significantly reinforce--- excitonic…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 I. D'Amico , F. Rossi

We examine the nature of the collective excitations in a strongly anisotropic system of bosons interacting via Coulomb interaction. Such a system has often been used in the past to model the effects of quantum and classical phase…

Superconductivity · Physics 2007-05-23 Matthew J. Case , Igor F. Herbut

We present a systematic theory of Coulomb interaction effects in the nonlinear optical processes in semiconductors using a perturbation series in the exciting laser field. The third-order dynamical response consists of phase-space filling…

Condensed Matter · Physics 2009-10-31 Th. Oestreich , K. Schoenhammer , L. J. Sham

In two-dimensional hybrid organic-inorganic metal-halide perovskites, the intrinsic optical lineshape reflects multiple excitons with distinct binding energies, each dressed differently by the hybrid lattice. Given this complexity, a…

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