Quantum Monte Carlo Investigations for The Hubbard Model

Abstract

Simulations of Quantum Monte Carlo (QMC) are a powerful way of collecting knowledge about quantum mechanical systems with close interactions. The chapter demonstrates how the Monte Carlo quantum method is used for finite temperature systems that are highly correlated and that the Hubbard model can be represented as well.The partition function is broken down by means of a transformation from Trotter—Suzuki (TS). The relationship is decoupled by Hubbard—Stratonovich transformation.There are brief mention of the problems caused by numerical instabilities and the problem of negative signs due to Monte Carlo's sampling technology.