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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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Modeling molecule-plasmon interactions using quantized radiation fields within time-dependent electronic structure

Daniel R Nascimento1, A Eugene DePrince1

  • 1Department of Chemistry and Biochemistry, Florida State University, Tallahassee, Florida 32306-4390, USA.

The Journal of Chemical Physics
|December 10, 2015
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Summary
This summary is machine-generated.

We developed a new computational method to simulate how light interacts with molecules. This approach accurately models plasmon-molecule interactions, offering insights into Fano-like resonances.

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Area of Science:

  • Quantum Chemistry
  • Materials Science
  • Spectroscopy

Background:

  • Plasmon-molecule interactions are crucial in nanoscience and catalysis.
  • Accurate simulation of these interactions requires robust theoretical frameworks.
  • Existing models often simplify the quantum mechanical behavior of molecules.

Purpose of the Study:

  • To introduce a novel, computationally efficient method for simulating plasmon-molecule interactions in the time domain.
  • To replace simplified models with a rigorous ab initio treatment of the molecular component.
  • To enable accurate prediction of phenomena like Fano resonances in coupled systems.

Main Methods:

  • A combined cavity quantum electrodynamics (cQED) and ab initio electronic structure approach.
  • Utilizing a generalized Jaynes-Cummings-type model Hamiltonian.
  • Incorporating mutual polarization effects via ground-state Hartree-Fock computation.
  • Performing real-time, time-dependent simulations with efficient computational scaling.

Main Results:

  • Demonstrated a computationally efficient method for simulating plasmon-molecule interactions.
  • Successfully reproduced Fano-like resonance phenomena in coupled molecule-plasmon systems.
  • Showcased the sensitivity of Fano resonances to nanoparticle-molecule separation and molecular orientation.

Conclusions:

  • The developed method provides an accurate and efficient tool for studying plasmon-molecule dynamics.
  • This approach facilitates deeper understanding of light-matter interactions at the nanoscale.
  • The findings are relevant for designing novel plasmonic devices and optimizing chemical reactions.