Dynamical tunneling in molecules: Quantum routes to energy flow
arXiv:0709.1755 · doi:10.1080/01442350701462288
Abstract
Dynamical tunneling, introduced in the molecular context, is more than two decades old and refers to phenomena that are classically forbidden but allowed by quantum mechanics. On the other hand the phenomenon of intramolecular vibrational energy redistribution (IVR) has occupied a central place in the field of chemical physics for a much longer period of time. Although the two phenomena seem to be unrelated several studies indicate that dynamical tunneling, in terms of its mechanism and timescales, can have important implications for IVR. Examples include the observation of local mode doublets, clustering of rotational energy levels, and extremely narrow vibrational features in high resolution molecular spectra. Both the phenomena are strongly influenced by the nature of the underlying classical phase space. This work reviews the current state of understanding of dynamical tunneling from the phase space perspective and the consequences for intramolecular vibrational energy flow in polyatomic molecules.
37 pages and 23 figures (low resolution); Int. Rev. Phys. Chem. (Review to appear in Oct. 2007)
References in corpus (16)
- Non-dispersive wave packets in periodically driven quantum systems
- Time-frequency analysis of chaotic systems
- Resonance- and chaos-assisted tunneling in mixed regular-chaotic systems
- Quantum signatures of breather-breather interactions
- Control of Hamiltonian chaos as a possible tool to control anomalous transport in fusion plasmas
- Decay of Quantum Accelerator Modes
- Nano-wires with surface disorder: Giant localization lengths and quantum-to-classical crossover
- Signatures of chaotic tunnelling
- Influence of classical resonances on chaotic tunnelling
- Intramolecular vibrational energy redistribution as state space diffusion: Classical-quantum correspondence
- Resonance-assisted tunneling in three degrees of freedom without discrete symmetry
- Quantum dynamics of localized excitations in a symmetric trimer molecule
- Resonance-assisted decay of nondispersive wave packets
- Analyzing intramolecular dynamics by Fast Lyapunov Indicators
- Reducing multiphoton ionization in a linearly polarized microwave field by local control
- Resonance- and Chaos-Assisted Tunneling
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- Coherent nonlinear optical probe for cavity-dressed vibrational mode mixing: Multidimensional double-quantum coherence and photon-echo spectroscopy
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