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Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
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Interference and quantization in semiclassical response functions.

Scott M Gruenbaum1, Roger F Loring

  • 1Department of Chemistry and Chemical Biology, Baker Laboratory, Cornell University, Ithaca, New York 14853, USA.

The Journal of Chemical Physics
|April 2, 2008
PubMed
Summary
This summary is machine-generated.

The Herman-Kluk semiclassical propagator accurately calculates spectroscopic response functions for anharmonic oscillators. This method reproduces quantum effects using classical dynamics by analyzing trajectory contributions over time.

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Area of Science:

  • Quantum mechanics
  • Chemical physics
  • Spectroscopy

Background:

  • The Herman-Kluk (HK) semiclassical propagator is a method for calculating spectroscopic response functions.
  • This method has shown quantitative accuracy for anharmonic oscillators.
  • Spectroscopic response functions are calculated using phase-space integrals over classical trajectories and stability matrices.

Purpose of the Study:

  • To analyze the Herman-Kluk semiclassical approximation for linear response functions.
  • To understand how this method reproduces quantum effects from classical dynamics.
  • To identify key classical trajectories influencing response functions at different timescales.

Main Methods:

  • Application of the Herman-Kluk semiclassical propagator.
  • Analysis of linear response functions.
  • Phase-space integration over classical trajectories and stability matrices.

Main Results:

  • The Herman-Kluk method quantitatively reproduces quantum effects in spectroscopic response functions.
  • Classical trajectories contributing most significantly to the response function were identified.
  • The analysis revealed the origin of the method's capacity to capture quantum phenomena.

Conclusions:

  • The Herman-Kluk approximation provides accurate spectroscopic response functions for anharmonic oscillators.
  • Understanding trajectory contributions enables approximate treatment of interference.
  • This work motivates simplified calculations of linear response functions using classical dynamics.