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  3. Real-time Dynamics With Bead-fourier Path Integrals. I. Bead-fourier Cmd.
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  3. Real-time Dynamics With Bead-fourier Path Integrals. I. Bead-fourier Cmd.

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Real-time dynamics with bead-Fourier path integrals. I. Bead-Fourier CMD.

Nathan London1, Mohammad R Momeni1

  • 1Division of Energy, Matter and Systems, School of Science and Engineering, University of Missouri-Kansas City, Kansas City, Missouri 64110, USA.

The Journal of Chemical Physics
|October 13, 2025

View abstract on PubMed

Summary
This summary is machine-generated.

This study introduces a new Bead-Fourier Path Integral Centroid Molecular Dynamics (BF-PI CMD) method. It significantly reduces computational cost for simulating quantum effects in materials by using fewer

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Area of Science:

  • Condensed Matter Theory
  • Computational Quantum Chemistry
  • Materials Science

Background:

  • Calculating real-time quantum correlation functions is a major challenge in condensed matter physics.
  • Centroid Molecular Dynamics (CMD) uses Feynman Path Integrals (PIs) to incorporate nuclear quantum effects into classical simulations.
  • Conventional CMD employs discretized PIs, representing quantum particles as 'beads' in a ring polymer.

Purpose of the Study:

  • To develop a more efficient method for calculating quantum correlation functions.
  • To improve the accuracy and reduce the computational cost of molecular dynamics simulations involving quantum effects.
  • To introduce a novel CMD approach utilizing Bead-Fourier PIs (BF-PIs).

Main Methods:

  • The study presents a new CMD method employing the Bead-Fourier Path Integral (BF-PI) formalism.
  • BF-PIs represent imaginary time paths using a Fourier sine series, acting as an intermediate between discretized PIs and pure Fourier methods.
  • The effective potential is calculated using BF-PIs instead of traditional bead PIs.

    • Main Results:

    • The new BF-CMD method demonstrates accuracy and efficiency for 1D model systems.
    • At low temperatures, BF-CMD achieved a fourfold to eightfold reduction in the number of beads required for convergence.
    • This efficiency gain was realized with the addition of just a single Fourier component.

    Conclusions:

    • The developed BF-CMD methodology offers a significant computational advantage for simulating quantum dynamics.
    • The approach effectively reduces the number of beads needed, particularly at low temperatures.
    • This general method can be extended to other path integral methods like Ring Polymer Molecular Dynamics and non-adiabatic PI methods.