We provide an extension to lattice systems of the reptation quantum Monte Carlo algorithm, originally devised for continuous Hamiltonians. For systems affected by the sign problem, a method to systematically improve upon the so-called fixed-node approximation is also proposed. The generality of the method, which also takes advantage of a canonical worm algorithm scheme to measure off-diagonal observables, makes it applicable to a vast variety of quantum systems and eases the study of their ground-state and excited-state properties. As a case study, we investigate the quantum dynamics of the one-dimensional Heisenberg model and we provide accurate estimates of the ground-state energy of the two-dimensional fermionic Hubbard model.
|Titolo:||Reptation quantum Monte Carlo algorithm for lattice Hamiltonians with a directed-update scheme RID F-2982-2011|
|Autori:||Carleo G; Becca F; Moroni S; Baroni S|
|Rivista:||PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS|
|Data di pubblicazione:||2010|
|Digital Object Identifier (DOI):||10.1103/PhysRevE.82.046710|
|Appare nelle tipologie:||1.1 Journal article|