Deterministic chaos in a quantum mechanical system described by a time-independent Hamiltonian: A model of three Josephson junctions in a loop.
Quantum mechanical equations of motion are obtained for a system consisting of a very large number of three types of interacting bosons. Under suitable choice of parameters of the Hamiltonian of the system, the equations of motion are those describing three Josephson junctions in a superconducting loop. It is shown numerically that this system is capable of exhibiting deterministic chaos (extreme sensitivity to initial conditions).
Parmenter
R. H.
RH
Department of Physics, University of Arizona, Tucson, Arizona 85721.
Yu
L. Y.
LY