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Niels Kristian Madsen1, Mads Bøttger Hansen1, Ove Christiansen1

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We introduce time-dependent vibrational coupled cluster with time-dependent modals (TDMVCC), a novel method for simulating molecular dynamics. TDMVCC offers improved accuracy and stability over existing methods for complex quantum systems.

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Area of Science:

  • Quantum Chemistry
  • Computational Physics
  • Molecular Dynamics

Background:

  • Accurate simulation of molecular dynamics is crucial for understanding chemical reactions and material properties.
  • Existing methods like time-independent modals can face limitations in accuracy and stability for complex systems.

Purpose of the Study:

  • To develop a new, robust computational method for simulating time-dependent quantum dynamics.
  • To introduce time-dependent vibrational coupled cluster with time-dependent modals (TDMVCC) for enhanced accuracy and stability.

Main Methods:

  • Development of a biorthogonal second quantization formulation for many-mode dynamics.
  • Application of the time-dependent bivariational principle to derive equations of motion for modals and cluster operators.
  • Pilot implementation and testing on model systems (Henon-Heiles, water, bi-thiophene).

Main Results:

  • TDMVCC demonstrates highly encouraging results in pilot computations.
  • Equivalence shown between TDMVCC and multiconfiguration time-dependent Hartree in specific limits.
  • TDMVCC generally provides better and more stable results than time-independent-modals approaches.

Conclusions:

  • TDMVCC represents a significant advancement in computational quantum dynamics.
  • The method shows promise for accurate and stable simulations of complex molecular systems.
  • Further applications and development of TDMVCC are warranted.