Corpus ID: 202734299

# Stochastic Series Expansion Methods

@article{Sandvik2019StochasticSE,
title={Stochastic Series Expansion Methods},
author={Anders W. Sandvik},
journal={arXiv: Strongly Correlated Electrons},
year={2019}
}
• A. Sandvik
• Published 23 September 2019
• Physics
• arXiv: Strongly Correlated Electrons
The Stochastic Series Expansion (SSE) technique is a quantum Monte Carlo method that is especially efficient for many quantum spin systems and boson models. It was the first generic method free from the discretization errors affecting previous path integral based approaches. These lecture notes give a brief overview of the SSE method and its applications. In the introductory section, the representation of quantum statistical mechanics by the power series expansion of ${\rm e}^{-\beta H}$ will… Expand

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#### References

SHOWING 1-10 OF 102 REFERENCES
Quantum Monte Carlo Methods: Algorithms for Lattice Models
• Physics
• 2016
Featuring detailed explanations of the major algorithms used in quantum Monte Carlo simulations, this is the first textbook of its kind to provide a pedagogical overview of the field and itsExpand
Exact, complete, and universal continuous-time worldline Monte Carlo approach to the statistics of discrete quantum systems
• Physics, Mathematics
• 1998
The principles found for the update in continuous time generalize to any continuous variables in the space of discrete virtual transitions, and in principle make it possible to simulate continuous systems exactly. Expand
Kagome model for a Z2 quantum spin liquid
• Physics
• 2020
We present a study of a simple model antiferromagnet consisting of a sum of nearest neighbor SO($N$) singlet projectors on the Kagome lattice. Our model shares some features with the popular $S=1/2$Expand
Spin-S Designer Hamiltonians and the Square Lattice S=1 Haldane Nematic.
• Physics, Medicine
• Physical review letters
• 2019
By numerical simulations, it is established that this model realizes a novel "Haldane nematic" phase that breaks lattice rotational symmetry by the spontaneous formation of Haldane chains, while preserving spin rotations, time reversal, and lattice translations. Expand
Quantum Phases of SrCu_{2}(BO_{3})_{2} from High-Pressure Thermodynamics.
The possibility to tune SrCu{2}(BO_{3})_{2} between the plaquette-singlet and antiferromagnetic states opens opportunities for experimental tests of quantum field theories and lattice models involving fractionalized excitations, emergent symmetries, and gauge fluctuations. Expand
Numerical Recipes in C: The Art of Sci-entific Computing
• Computer Science
• 1986
This is the revised and greatly expanded Second Edition of the hugely popular Numerical Recipes, with over 100 new routines (now well over 300 in all), plus upgraded versions of many of the original routines. Expand
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)Expand
{m
• Computer Science
• ACML
• 2020
The master programme in Applied Geology aims to provide comprehensive knowledge based on various branches of Geology, with special focus on Applied geology subjects in the areas of Geomorphology, Structural geology, Hydrogeology, Petroleum Geologists, Mining Geology), Remote Sensing and Environmental geology. Expand
Phys
• Rev. X 7, 041072
• 2017
Annu
• Rev. Condens. Matter Phys. 4, 179
• 2013