Interaction-induced chaos in a two-electron quantum-dot system

Details Interaction-induced chaos in a two-electron quantum-dot system Interaction-induced chaos in a two-electron quantum-dot system

2000-09-06

arxiv.org/abs/cond-mat/0009085v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3ps figures

Scientific paper

10.1103/PhysRevB.63.115313

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.

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