# Stochastic Series Expansion Methods

@article{Sandvik2019StochasticSE, title={Stochastic Series Expansion Methods}, author={Anders W. Sandvik}, journal={arXiv: Strongly Correlated Electrons}, year={2019} }

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

#### 5 Citations

Stochastic Series Expansion Quantum Monte Carlo for Rydberg Arrays

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Arrays of Rydberg atoms are a powerful platform to realize strongly-interacting quantum many-body systems. A common Rydberg Hamiltonian is free of the sign problem, meaning that its equilibrium… Expand

Building models of topological quantum criticality from pivot Hamiltonians

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Progress in understanding symmetry-protected topological (SPT) phases has been greatly aided by our ability to construct lattice models realizing these states. In contrast, a systematic approach to… Expand

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topological order and first-order quantum phase transitions in systems with combinatorial gauge symmetry

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- Physical Review B
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Kai-Hsin Wu, ∗ Zhi-Cheng Yang, 3, † Dmitry Green, ‡ Anders W. Sandvik, 5, § and Claudio Chamon ¶ Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, USA… Expand

Intrinsic Dimension of Path Integrals: Data-Mining Quantum Criticality and Emergent Simplicity

- Physics
- PRX Quantum
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T. Mendes-Santos*,1, 2 A. Angelone*,1, 3 Alex Rodriguez,1 R. Fazio,1, 4 and M. Dalmonte1, 3 The Abdus Salam International Centre for Theoretical Physics, strada Costiera 11, 34151 Trieste, Italy… Expand

Symmetric cluster expansions with tensor networks

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- 2019

Cluster expansions for the exponential of local operators are constructed using tensor networks. In contrast to other approaches, the cluster expansion does not break any spatial or internal… Expand

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