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In this work we study the competition and correspondence between theclassical and quantum routes to intramolecular vibrational energyredistribution (IVR) in a three degrees of freedom model effective Hamiltonian.Specifically, we focus on the classical and the quantum dynamics near theresonance junctions on the Arnold web that are formed by intersection ofindependent resonances. The regime of interest models the IVR dynamics fromhighly excited initial states near dissociation thresholds of molecular systemswherein both classical and purely quantum, involving dynamical tunneling,routes to IVR coexist. In the vicinity of a resonance junction classical chaosis inevitably present and hence one expects the quantum IVR pathways to have astrong classical component as well. We show that with increasing resonantcoupling strengths the classical component of IVR leads to a transition fromcoherent dynamical tunneling to incoherent dynamical tunneling. Furthermore, weestablish that the quantum IVR dynamics can be predicted based on thestructures on the classical Arnold web. In addition, we investigate the natureof the highly excited eigenstates in order to identify the quantum signaturesof the multiplicity-2 junctions. For the parameter regimes studies herein, byprojecting the eigenstates onto the Arnold web, we find that eigenstates in thevicinity of the junctions are primarily delocalized due to dynamical tunneling.

Relevance of the resonance junctions on the Arnold web to dynamical tunneling and eigenstate delocalization