Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-03-29
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, 7 figures uuencoded in a separate file
Scientific paper
10.1103/PhysRevE.50.972
For the quantum kicked top we study numerically the distribution of Hilbert-space vectors evolving in the presence of a small random perturbation. For an initial coherent state centered in a chaotic region of the classical dynamics, the evolved perturbed vectors are distributed essentially like random vectors in Hilbert space. In contrast, for an initial coherent state centered near an elliptic (regular) fixed point of the classical dynamics, the evolved perturbed vectors remain close together, explore only few dimensions of Hilbert space, and do not explore them randomly. These results support and extend results of earlier studies, thereby providing additional support for a new characterization of quantum chaos that uses concepts from information theory.
Caves Carlton M.
D'Ariano Giacomo M.
Schack Ruediger
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