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Laser-Dressed Molecular Point Groups in the Kramers-Henneberger Oscillating Frame-of-Reference: Selection Rules for
Mishu Paul1, Balanarayan Pananghat1
1Department of Chemical Sciences, Indian Institute of Science Education Research (IISER) Mohali, Sector-81, Knowledge City, S. A. S. Nagar, Mohali, Punjab-140306, India.
The Journal of Physical Chemistry Letters
|June 30, 2022
Summary
This study explores molecular point groups in laser fields using the Kramers-Henneberger frame. Laser-dressed molecules exhibit new point groups, with unique irreducible components dictating dynamical symmetry and harmonic generation selection rules.
Area of Science:
- Molecular symmetry and laser-matter interactions.
- Quantum dynamics and spectroscopy.
Background:
- Understanding molecular symmetry is crucial for predicting interactions with external fields.
- Laser-dressing can alter a molecule's symmetry and electronic properties.
Purpose of the Study:
- To determine the point groups of laser-dressed molecules within the Kramers-Henneberger frame.
- To classify dynamical Fourier components as irreducibles of the laser-dressed point group.
- To establish selection rules for harmonic generation spectra.
Main Methods:
- Utilizing the Kramers-Henneberger oscillating frame for laser-dressed states.
- Analyzing the time-dependent potential via Fourier series expansion.
- Identifying unique irreducible components within the Fourier expansion.
Main Results:
- The zeroth-order time-average of the potential yields the point group of the laser-dressed molecule.
- Laser polarization and molecular orientation can induce or retain point group symmetry.
- Recurrence of unique irreducibles dictates the dynamical symmetry of the Floquet Hamiltonian.
Conclusions:
- The study provides a framework for understanding symmetry in laser-driven molecules.
- Selection rules for harmonic generation are determined by the number of unique irreducible components (Nk ± 1).
- This work offers insights into controlling molecular responses to intense laser fields.
