Related Experiment Video
Updated: Aug 17, 2026

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
Published on: March 30, 2017
A practical treatment for the three-body interactions in the transcorrelated variational Monte Carlo method:
Naoto Umezawa1, Shinji Tsuneyuki, Takahisa Ohno
1National Institute for Materials Science, Nanomaterials Laboratory, Namiki 1-1, Tsukuba, Ibaraki, 305-0044, Japan. naoto@comas.frsc.tsukuba.ac.jp
Abstract:
We suggest a practical solution to dealing with the three-body interactions in the transcorrelated variational Monte Carlo method (TC-VMC). In the TC-VMC method, which was suggested in our previous paper [N. Umezawa and S. Tsuneyuki, J. Chem. Phys. 119, 10015 (2003)], the Jastrow-Slater-type wave function is efficiently optimized through a self-consistent procedure by minimizing the variance of the local energy. The three-body terms in the transcorrelated self-consistent-field equation, which have been simply ignored in our previous works, are efficiently calculated by the Monte Carlo numerical integration. We found that our treatment for the three-body interactions is successful for atoms from Li to Ne.
Related Concept Videos
The Van der Waals Equation
Van der Waals Interactions
Equilibrium Conditions for a Particle
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
The Quantum-Mechanical Model of an Atom
Van der Waals Equation
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...
Hybridization of Atomic Orbitals II