Resonance- and Chaos-Assisted Tunneling

We consider dynamical tunneling between two symmetry-related regular islands that are separated in phase space by a chaotic sea. Such tunneling processes are dominantly governed by nonlinear resonances, which induce a coupling mechanism between ``regular'' quantum states within and ``chaotic'' states outside the islands. By means of a random matrix ansatz for the chaotic part of the Hamiltonian, one can show that the corresponding coupling matrix element directly determines the level splitting between the symmetric and the antisymmetric eigenstates of the pair of islands. We show in detail how this matrix element can be expressed in terms of elementary classical quantities that are associated with the resonance. The validity of this theory is demonstrated with the kicked Harper model.Comment: 25 pages, 5 figure

Triunsaturated hydrocarbons, sex pheromone components of Caenurgina erechtea

(Z,Z,Z)-3,6,9-Eicosatriene and (Z,Z,Z)-3,6,9-heneicosatriene have been identified as components of the sex pheromone of the noctuid,Caenurgina erechtea (Cramer), the forage looper. Structural assignments were made on the basis of spectroscopic and chromatographic data and were confirmed by comparison with synthetic material. Flight tunnel behavioral studies demonstrated that either component, when tested individually, would elicit wing fanning responses in males; however, mixtures of the two components increased this response and were essential for initiation of upwind flight and landing. In field experiments, traps baited with either component alone captured few or no adult forage looper males while those baited with both components captured several target males.Peer reviewed: YesNRC publication: Ye