We present a history-dependent Monte Carlo scheme for the efficient calculation of the free energy of quantum systems inspired by Wang-Landau and metadynamics. In the two-dimensional quantum Ising model, chosen here for illustration, the accuracy of free energy, critical temperature, and specific heat is demonstrated as a function of simulation time and successfully compared with the best available approaches. The approach is based on a path integral formulation of the quantum problem and can be applied without modifications to quantum Hamiltonians of any level of complexity. The combination of high accuracy and performance with a much broader applicability is a major advance with respect to other available methods.
|Titolo:||Calculating thermodynamics properties of quantum systems by a non-Markovian Monte Carlo procedure|
|Autori:||Crespo Y; Laio A; Santoro GE; Tosatti E|
|Rivista:||PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS|
|Data di pubblicazione:||2009|
|Digital Object Identifier (DOI):||10.1103/PhysRevE.80.015702|
|Appare nelle tipologie:||1.1 Journal article|