Local phase space control and interplay of classical and quantum effects in dissociation of a driven Morse oscillator

Abstract

This work explores the possibility of controlling the dissociation of a monochromatically driven one-dimensional Morse oscillator by recreating barriers, in the form of invariant tori with irrational winding ratios, at specific locations in the phase space. The control algorithm proposed by Huang {\it et al.} (Phys. Rev. A {\bf 74}, 053408 (2006)) is used to obtain an analytic expression for the control field. We show that the control term, approximated as an additional weaker field, is efficient in recreating the desired tori and suppresses the classical as well as the quantum dissociation. However, in the case when the field frequency is tuned close to a two-photon resonance the local barriers are not effective in suppressing the dissociation. We establish that in the on-resonant case quantum dissociation primarily occurs via resonance-assisted tunneling and controlling the quantum dynamics requires a local perturbation of the specific nonlinear resonance in the underlying phase space.

12 pages, 6 figures (reduced quality), submitted to Phys. Rev. A

References in corpus (17)

• Quantum Computation with Vibrationally Excited Molecules
• Resonance-assisted tunneling in near-integrable systems
• Resonance-Assisted Tunneling
• Resonance- and chaos-assisted tunneling in mixed regular-chaotic systems
• Channelling chaos by building barriers
• Dynamical tunneling in molecules: Quantum routes to energy flow
• Influence of classical resonances on chaotic tunnelling
• Controlling chaotic transport in a Hamiltonian model of interest to magnetized plasmas
• On dynamical tunneling and classical resonances
• Sticky obstacles to intramolecular energy flow
• Resonance-assisted tunneling in three degrees of freedom without discrete symmetry
• Dynamical tunneling in molecules: role of the classical resonances and chaos
• Stochastic dissociation of diatomic molecules
• Bifurcations as dissociation mechanism in bichromatically driven diatomic molecules
• Femtosecond Photodissociation of Molecules Facilitated by Noise
• Dissociation and ionization of small molecules steered by external noise
• Reducing multiphoton ionization in a linearly polarized microwave field by local control

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• Control of the classical dynamics of a particle in the Morse-soft-Coulomb potential