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A new computational method improves coupled-cluster (CC) calculations by combining string representations and matrix products for higher excitations. This efficient approach enhances quantum chemistry simulations and aids in studying molecular interactions.

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Area of Science:

  • Quantum Chemistry
  • Computational Chemistry
  • Theoretical Chemistry

Background:

  • Coupled-cluster (CC) methods are essential for accurate electronic structure calculations.
  • Implementing CC methods with higher excitations remains computationally demanding.
  • Efficient algorithms are crucial for advancing theoretical chemistry.

Purpose of the Study:

  • To develop a novel, efficient computational framework for coupled-cluster (CC) methods.
  • To enable accurate calculations including higher excitation levels.
  • To automate the implementation of multi-reference CC equations.

Main Methods:

  • A hybrid approach utilizing string representations and matrix products for amplitude and intermediate contractions.
  • A new diagrammatic technique for compact representation of CC equations.
  • Automated implementation of single-reference-based multi-reference CC equations for arbitrary excitation levels.

Main Results:

  • The new method demonstrates efficient evaluation of diagram contributions via vectorized subroutines.
  • Timing results for test calculations on complete active-space problems show performance gains.
  • The code was successfully applied to study weak interactions in the Be dimer.

Conclusions:

  • The presented approach offers a significant improvement in the efficiency and applicability of CC methods.
  • The automated implementation facilitates complex quantum chemical calculations.
  • This work advances the capability to study intricate molecular systems and interactions.