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Interaction Picture Density Matrix Quantum Monte Carlo
Journal article   Open access   Peer reviewed

Interaction Picture Density Matrix Quantum Monte Carlo

Fionn D Malone, N. S Blunt, James J Shepherd, D. K. K Lee, J. S Spencer and W. M. C Foulkes
The Journal of chemical physics, Vol.143(4), pp.044116-044116
06/09/2015
DOI: 10.1063/1.4927434
PMID: 26233116
url
https://doi.org/10.1063/1.4927434View
Published (Version of record) Open Access

Abstract

J. Chem. Phys. 143, 044116 (2015) The recently developed density matrix quantum Monte Carlo (DMQMC) algorithm stochastically samples the N -body thermal density matrix and hence provides access to exact properties of many-particle quantum systems at arbitrary temperatures. We demonstrate that moving to the interaction picture provides substantial benefits when applying DMQMC to interacting fermions. In this first study, we focus on a system of much recent interest: the uniform electron gas in the warm dense regime. The basis set incompleteness error at finite temperature is investigated and extrapolated via a simple Monte Carlo sampling procedure. Finally, we provide benchmark calculations for a four-electron system, comparing our results to previous work where possible.

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