Exotic states in the strong field control of H${}_2^{+}$ dissociation dynamics: From exceptional points to zero-width resonances

Abstract

H${}_2^{+}$ is an ideal candidate for a detailed study of strong field coherent control strategies inspired by basic mechanisms referring to some specific photodissociation resonances. Two of them are considered in this work, namely: Zero-width resonances (ZWR) on one hand, and coalescing pairs of resonances at exceptional points (EP) on the other hand. An adiabatic transport theory based on Floquet Hamiltonian formalism is developed within the challenging context of multiphoton dynamics involving nuclear continua. It is shown that a rigorous treatment is only possible for ZWRs, whereas adiabatic transport mediated by EPs is subjected to restrictions. Numerical maps of resonance widths and non-adiabatic couplings in the laser parameter plane help in optimally shaping control pulses. Full time-dependent wavepacket dynamics shows the possibility of selective, robust filtration and vibrational population transfers, within experimental feasibility criteria.

28 pages, 8 figures

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Cited by in corpus (5)

• Floquet-Landau-Zener interferometry: Usefulness of the Floquet theory in pulse-laser-driven systems
• Anisotropy Control in Photoelectron Spectra: A Coherent Two-Pulse Interference Strategy
• Population transfer at exceptional points in spectra of the hydrogen atom in parallel electric and magnetic fields
• Calculating eigenvalues and eigenvectors of parameter-dependent hamiltonians using an adaptative wave operator method
• Complex time method for quantum dynamics when an exceptional point is encircled in the parameter space