Driven coupled Morse oscillators --- visualizing the phase space and characterizing the transport

TL;DR

This study investigates the classical phase space transport in a driven two-oscillator Morse system, revealing complex structures like resonance webs and stickiness that influence molecular dissociation dynamics, bridging classical and quantum perspectives.

Contribution

It provides a detailed analysis of phase space structures in a driven coupled Morse oscillator system using wavelet transforms, highlighting the role of resonance webs and barriers in transport.

Findings

Resonance web structures regulate dissociation dynamics.

Classical dynamics exhibit extensive stickiness and anomalous transport.

Pairwise irrational barriers are significant in higher-dimensional systems.

Abstract

Recent experimental and theoretical studies indicate that intramolecular energy redistribution (IVR) is nonstatistical on intermediate timescales even in fairly large molecules. Therefore, it is interesting to revisit the the old topic of IVR versus quantum control and one expects that a classical-quantum perspective is appropriate to gain valuable insights into the issue. However, understanding classical phase space transport in driven systems is a prerequisite for such a correspondence based approach and is a challenging task for systems with more then two degrees of freedom. In this work we undertake a detailed study of the classical dynamics of a minimal model system - two kinetically coupled coupled Morse oscillators in the presence of a monochromatic laser field. Using the technique of wavelet transforms a representation of the high dimensional phase space, the resonance network or Arnold web, is constructed and analysed. The key structures in phase space which regulate the dissociation dynamics are identified. Furthermore, we show that the web is nonuniform with the classical dynamics exhibiting extensive stickiness, resulting in anomalous transport. Our work also shows that pairwise irrational barriers might be crucial even in higher dimensional systems.