Quantum Monte Carlo methods — recent developments

Masuo Suzuki

Physica A: Statistical Mechanics and its Applications, 1993, vol. 194, issue 1, 432-449

Abstract: Recent developments of the quantum Monte Carlo methods are reviewed briefly with emphasis on basic ideas, namely the transformation of a d-dimensional quantum system to the corresponding (d + 1)-dimensional classical system. Some recent applications to quantum spin systems are summarized. In particular, numerical evidence of the Haldane gap is given. The quantum transfer-matrix method is also presented, for it is also based on the ST- transformation. The quantum Monte Carlo CAM is explained briefly. Fractal path integrals are also presented, namely a general theory of decomposition of exponential operators and symplectic integrators are explained. The negative-sign problem is also discussed.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:194:y:1993:i:1:p:432-449

DOI: 10.1016/0378-4371(93)90375-E

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