Optimization of Trial Wave Functions for Hamiltonian Lattice Models
Matteo Beccaria
TL;DR
This paper introduces a Monte Carlo algorithm that optimizes trial wave functions for Hamiltonian lattice models, demonstrated on U(1) gauge theory in 1+1 dimensions, improving numerical studies of such systems.
Contribution
A novel Monte Carlo method that dynamically optimizes ground state wave functions for lattice Hamiltonian models.
Findings
Effective in simulating U(1) lattice gauge theory in 1+1 dimensions
Demonstrates improved accuracy over traditional methods
Provides a detailed discussion of the optimization process
Abstract
We propose a new Monte Carlo algorithm for the numerical study of general lattice models in Hamiltonian form. The algorithm is based on an initial Ansatz for the ground state wave function depending on a set of free parameters which are dynamically optimized. The method is discussed in details and results are reported from explicit simulations of U(1) lattice gauge theory in 1+1 dimensions.
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