Recent progress on cluster and meron algorithms for strongly correlated systems

Abstract

Ab-initio studies of strongly interacting bosonic and fermionic systems is greatly facilitated by efficient Monte Carlo algorithms. This article emphasizes this requirement, and outlines the ideas behind the construction of the cluster algorithms and illustrates them via specific examples. Numerical studies of fermionic systems at finite densities and at real-times are sometimes hindered by the infamous sign problem, which is also discussed. The construction of meron cluster algorithms, which can solve certain sign problems are discussed. Cluster algorithms which can simulate certain pure Abelian gauge theories (realized as quantum link models) are also discussed.

arXiv commentSubmitted to Indian Journal of Physics memorial issue for Pushan Majumdar. 20 pages, 6 figures. Matches the published version

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Cited by in corpus (5)

• Quantum Monte Carlo for Gauge Fields and Matter without the Fermion Determinant
• Weak universality induced by $Q=\pm 2e$ charges at the deconfinement transition of a (2+1)-d $U(1)$ lattice gauge theory
• Crystalline phases at finite winding densities in a quantum link ladder
• Geometric fragmentation and anomalous thermalization in cubic dimer model
• Ground-state phase diagram of quantum link electrodynamics in $(2+1)$-d