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Computing the energy of a water molecule using multideterminants: a simple, efficient algorithm.

Bryan K Clark1, Miguel A Morales, Jeremy McMinis

  • 1Princeton Center For Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA. bclark@princeton.edu

The Journal of Chemical Physics
|January 10, 2012
PubMed
Summary
This summary is machine-generated.

We present an efficient method for multi-Slater-Jastrow wave functions in Quantum Monte Carlo (QMC) simulations. This approach enhances computational speed and memory efficiency for advanced electronic structure calculations.

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Area of Science:

  • Computational physics
  • Quantum chemistry
  • Electronic structure theory

Background:

  • Quantum Monte Carlo (QMC) methods rely on accurate trial wave functions.
  • Slater-Jastrow wave functions are common but limited for new physics.
  • More complex wave functions are needed for advanced research.

Purpose of the Study:

  • Introduce an efficient method for multi-Slater-Jastrow wave functions in QMC.
  • Improve computational performance and memory usage.
  • Facilitate the use of sophisticated wave functions in electronic structure.

Main Methods:

  • Developed a new implementation for multi-Slater-Jastrow wave functions.
  • Ensured the method is easy to implement and parallelize.
  • Analyzed computational scaling with particle number and excitations.

Main Results:

  • Achieved quadratic scaling with particle number, comparable to single determinants.
  • Demonstrated linear scaling with the number of excitations.
  • Successfully computed the ground state energy of a water molecule.

Conclusions:

  • The new method is computationally efficient and scalable for QMC.
  • Enables the use of advanced wave functions for novel physics.
  • Provides a practical tool for electronic structure calculations.