Visualizing the phase space of the HeI<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg"><mml:msub><mml:mrow/><mml:mn>2</mml:mn></mml:msub></mml:math> van der Waals complex using Lagrangian descriptors

Agaoglou, Makrina; García-Garrido, Víctor J.; Katsanikas, Matthaios; Wiggins, Stephen

doi:10.1016/j.cnsns.2021.105993

Cited by 10 publications

(1 citation statement)

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“…First, visualization of the phase space is nontrivial but necessary to some extent in order to ascertain the local structures present near the location of the initial quantum state of interest. There has been some progress recently in this regard [74,75]. Second, constructing the Arnold web at a level of detail concomitant with the effective Planck constant h (see next section) is a numerically demanding task.…”

Section: Introductionmentioning

confidence: 99%

Dynamical Tunneling in More than Two Degrees of Freedom

Keshavamurthy

2024

Entropy

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Recent progress towards understanding the mechanism of dynamical tunneling in Hamiltonian systems with three or more degrees of freedom (DoF) is reviewed. In contrast to systems with two degrees of freedom, the three or more degrees of freedom case presents several challenges. Specifically, in higher-dimensional phase spaces, multiple mechanisms for classical transport have significant implications for the evolution of initial quantum states. In this review, the importance of features on the Arnold web, a signature of systems with three or more DoF, to the mechanism of resonance-assisted tunneling is illustrated using select examples. These examples represent relevant models for phenomena such as intramolecular vibrational energy redistribution in isolated molecules and the dynamics of Bose–Einstein condensates trapped in optical lattices.

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Section: Introductionmentioning

confidence: 99%