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Title: Comparison of quantum-mechanical and semiclassical approaches for an analysis of spin dynamics in quantum dots

Abstract

Two approaches to the description of spin dynamics of electron-nuclear system in quantum dots are compared: the quantum-mechanical one is based on direct diagonalization of the model Hamiltonian and semiclassical one is based on coupled equations for precession of mean electron spin and mean spin of nuclear spin fluctuations. The comparison was done for a model problem describing periodic excitation of electron-nuclear system by optical excitation. The computation results show that scattering of parameters related to fluctuation of the nuclear spin system leads to appearance of an ordered state in the system caused by periodic excitation and to the effect of electron-spin mode locking in an external magnetic field. It is concluded that both models can qualitatively describe the mode-locking effect, however give significantly different quantitative results. This may indicate the limited applicability of the precession model for describing the spin dynamics in quantum dots in the presence of optical pumping.

Authors:
 [1]
  1. Saint Petersburg State University (Russian Federation)
Publication Date:
OSTI Identifier:
22069357
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 115; Journal Issue: 2; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
77 NANOSCIENCE AND NANOTECHNOLOGY; COMPARATIVE EVALUATIONS; ELECTRONS; EXCITATION; FLUCTUATIONS; HAMILTONIANS; MAGNETIC FIELDS; MODE LOCKING; OPTICAL PUMPING; PERIODICITY; PRECESSION; QUANTUM DOTS; QUANTUM MECHANICS; SEMICLASSICAL APPROXIMATION; SPIN

Citation Formats

Petrov, M. Yu., E-mail: m.petrov@spbu.ru, and Yakovlev, S V. Comparison of quantum-mechanical and semiclassical approaches for an analysis of spin dynamics in quantum dots. United States: N. p., 2012. Web. doi:10.1134/S1063776112060131.
Petrov, M. Yu., E-mail: m.petrov@spbu.ru, & Yakovlev, S V. Comparison of quantum-mechanical and semiclassical approaches for an analysis of spin dynamics in quantum dots. United States. https://doi.org/10.1134/S1063776112060131
Petrov, M. Yu., E-mail: m.petrov@spbu.ru, and Yakovlev, S V. 2012. "Comparison of quantum-mechanical and semiclassical approaches for an analysis of spin dynamics in quantum dots". United States. https://doi.org/10.1134/S1063776112060131.
@article{osti_22069357,
title = {Comparison of quantum-mechanical and semiclassical approaches for an analysis of spin dynamics in quantum dots},
author = {Petrov, M. Yu., E-mail: m.petrov@spbu.ru and Yakovlev, S V},
abstractNote = {Two approaches to the description of spin dynamics of electron-nuclear system in quantum dots are compared: the quantum-mechanical one is based on direct diagonalization of the model Hamiltonian and semiclassical one is based on coupled equations for precession of mean electron spin and mean spin of nuclear spin fluctuations. The comparison was done for a model problem describing periodic excitation of electron-nuclear system by optical excitation. The computation results show that scattering of parameters related to fluctuation of the nuclear spin system leads to appearance of an ordered state in the system caused by periodic excitation and to the effect of electron-spin mode locking in an external magnetic field. It is concluded that both models can qualitatively describe the mode-locking effect, however give significantly different quantitative results. This may indicate the limited applicability of the precession model for describing the spin dynamics in quantum dots in the presence of optical pumping.},
doi = {10.1134/S1063776112060131},
url = {https://www.osti.gov/biblio/22069357}, journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 2,
volume = 115,
place = {United States},
year = {Wed Aug 15 00:00:00 EDT 2012},
month = {Wed Aug 15 00:00:00 EDT 2012}
}