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University of Vermont

Calogero-Sutherland model

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Accelerating Quantum Monte Carlo Via Graphics Processing Units, Benjamin Evert Himberg Jan 2017

Accelerating Quantum Monte Carlo Via Graphics Processing Units, Benjamin Evert Himberg

Graduate College Dissertations and Theses

An exact quantum Monte Carlo algorithm for interacting particles in the spatial continuum is extended to exploit the massive parallelism offered by graphics processing units. Its efficacy is tested on the Calogero-Sutherland model describing a system of bosons interacting in one spatial dimension via an inverse square law. Due to the long range nature of the interactions, this model has proved difficult to simulate via conventional path integral Monte Carlo methods running on conventional processors. Using Graphics Processing Units, optimal speedup factors of up to 640 times are obtained for N = 126 particles. The known results for the ground …