Computer Simulations of Quantum Chains

TL;DR

This paper discusses advancements in computer simulation techniques for quantum chains, demonstrating improved accuracy through multigrid updates and refined discretization, enabling better assessment of variational approximations.

Contribution

The paper introduces a combined multigrid and refined discretization approach that significantly enhances simulation accuracy for quantum chains.

Findings

Enhanced simulation accuracy with multigrid techniques

Effective assessment of variational approximations

Potential for broader application in quantum system simulations

Abstract

We report recent progress in computer simulations of quantum systems described in the path-integral formulation. For the example of the $\phi^4$ quantum chain we show that the accuracy of the simulation may greatly be enhanced by a combination of multigrid update techniques with a refined discretization scheme. This allows us to assess the accuracy of a variational approximation.