Interaction-induced chaos in a two-electron quantum-dot system
摘要
A quasi-one-dimensional quantum dot containing two interacting electrons is analyzed in search of signatures of chaos. The two-electron energy spectrum is obtained by diagonalization of the Hamiltonian including the exact Coulomb interaction. We find that the level-spacing fluctuations follow closely a Wigner-Dyson distribution, which indicates the emergence of quantum signatures of chaos due to the Coulomb interaction in an otherwise non-chaotic system. In general, the Poincar\'e maps of a classical analog of this quantum mechanical problem can exhibit a mixed classical dynamics. However, for the range of energies involved in the present system, the dynamics is strongly chaotic, aside from small regular regions. The system we study models a realistic semiconductor nanostructure, with electronic parameters typical of gallium arsenide.
引用
@article{arxiv.cond-mat/0009085,
title = {Interaction-induced chaos in a two-electron quantum-dot system},
author = {A. J. Fendrik and M. J. Sánchez and P. I. Tamborenea},
journal= {arXiv preprint arXiv:cond-mat/0009085},
year = {2009}
}
备注
4 pages, 3ps figures