Bifurcation and chaos in two-dimensional systems of quantum dots and quantum molecules

Abstract

Methods developed in the approach to quantum tunneling with dissipation are applied to a dissipative tunneling in the systems of coupled quantum molecules. We study two-dimensional (2D) effects of cleavage and thermally controlled extrema in tunnel probability function on asymmetry parameter; thermally dependent blockage effect; effect of edge temperature in the case when radii of quantum dots (QD) in quantum molecules (QM) are bigger than radii of final state QD; bifurcations in the temperature dependence and in coupling constant in interacting QM systems. 2D tunnel transitions are chaotic in the case of antiparallel 2D transfers and this chaotization occurs as a phase transition of second order, whereas in the case of parallel 2D transfers the bifurcations occur as a phase transition of first order.