Coupled Electron-Nuclear Dynamics on H₂⁺ within Time-Dependent Born-Oppenheimer Approximation.

Area of Science:

• Quantum dynamics
• Molecular physics
• Laser-matter interactions

Background:

• Understanding molecular behavior under intense laser fields is crucial for attosecond science and chemistry.
• The hydrogen molecular ion (H2+) is a fundamental system for studying fundamental quantum phenomena.

Purpose of the Study:

• To investigate the quantum dynamical behavior of H2+ exposed to intense, ultrashort infrared laser pulses.
• To analyze the dissociation dynamics influenced by field-dressed potentials.

Main Methods:

• Numerical solution of the time-dependent Schrödinger equation.
• Application of the time-dependent Born-Oppenheimer approximation.
• One-dimensional nuclear and three-dimensional electronic motion simulation.

Main Results:

• Electronic longitudinal degree of freedom significantly governs dissociation dynamics.
• Electronic transverse degree of freedom contributions are necessary for accurate results.
• One-dimensional modeling of electron-nucleus interactions with softening parameters introduces discrepancies.

Conclusions:

• Accurate quantum dynamical simulations of H2+ require considering both longitudinal and transverse electronic degrees of freedom.
• The study validates numerical methods by comparing results with exact and other dynamical studies.