Wavefunction matching for solving quantum many-body problems

Area of Science:

• Quantum Many-Body Systems
• Nuclear Physics
• Quantum Chemistry

Background:

• Ab initio calculations are crucial for understanding quantum systems.
• Accurate calculations are challenging for complex interactions.
• Monte Carlo sign cancellations hinder simulations.

Purpose of the Study:

• Introduce a novel wavefunction matching approach.
• Enable accurate calculations for previously intractable systems.
• Improve understanding of nuclear interactions.

Main Methods:

• Wavefunction matching transforms particle interactions.
• Wavefunctions are matched to easily computable interactions within a finite range.
• Applied to lattice Monte Carlo simulations of nuclei and nuclear matter.

Main Results:

• Achieved good agreement with empirical data for light and medium-mass nuclei, neutron matter, and nuclear matter.
• Successfully overcame Monte Carlo sign cancellation problems.
• Provided insights into nuclear interactions.

Conclusions:

• Wavefunction matching is a powerful tool for ab initio calculations.
• The method facilitates accurate reproduction of nuclear binding energies, charge radii, and saturation.
• Advances fundamental understanding in nuclear physics and related fields.