Efficient wavefunction propagation by minimizing accumulated action

TL;DR

This paper introduces a novel wavefunction propagation method that minimizes accumulated action, using a finite temporal basis to efficiently compute quantum evolution with improved convergence over traditional matrix exponentiation techniques.

Contribution

The paper proposes a new wavefunction propagation technique based on action minimization and finite temporal basis, enhancing computational efficiency and convergence.

Findings

Reduces wavefunction evolution to linear equations

Offers improved convergence over matrix exponentiation

Applicable to physically relevant quantum problems

Abstract

This paper presents a new technique to calculate the evolution of a quantum wavefunction in a chosen spatial basis by minimizing the accumulated action. Introduction of a finite temporal basis reduces the problem to a set of linear equations, while an appropriate choice of temporal basis set offers improved convergence relative to methods based on matrix exponentiation for a class of physically relevant problems.