Abstract

• A non-Born-Oppenheimer time-dependent Schrödinger equation is numerically solved to study the dissociative-ionization of H 2 + molecule subjected to strong field six-cycle laser pulses ( I = 4 × 10 14 W / cm 2 , λ = 800 nm ) . • Analysis of the time evolution of the H 2 + nuclear wave packet is performed using Floquet formalism in the adiabatic representation to gain newly insightful images of the nonlinear processes such as vibrational trapping, above-threshold dissociation, tunneling, and bond-softening of the laser-driven nuclear wave packet on two lowest field-dressed adiabatic potential energy curves. • Starting from an initial state-selected vibrational level of H 2 , the images enable ones to fully comprehend the dissociative-ionization dynamics of H 2 + , notably in the vicinity of a conical intersection up to eventually entering the two exit channels with the main one producing fragments H + H + via the H 2 + ( 2 ∑ u + ) exit channel. • The direct treatment of the electronic-nuclear wave packet of H 2 enables one to image the one-electron nuclear localization of H 2 + on the right or left of field-distorted double-well Coulomb potential to reveal the influence of the field on the charge-resonance enhanced ionization coupled with the other nonlinear processes. A non-Born–Oppenheimer time-dependent Schrödinger equation is numerically solved to study the dissociative-ionization of H 2 + subjected to strong field six-cycle laser pulses ( I = 4 × 10 14 W / cm 2 , λ = 800 nm ) . Analysis of the evolution of H 2 + nuclear wave packet is performed using Floquet formalism in the adiabatic representation to gain newly insightful images of the nonlinear processes in the vicinity of a conical intersection of two lowest field-dressed adiabatic states. The coherent superposition of the states leads to the right or left localization of H 2 + on the field-distorted double-well Coulomb potential.

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