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Thesis for the Computational Science Master's program at Central Washington University. 3D extension of an analog of cosmological particle creation in a Friedmann-Robertson-Walker universe by numerically simulating a Bose-Einstein condensate with a time-dependent scattering length.

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Thesis for Master's of Science in Computational Science

Central Washington University

2024

During the moments just after the Big Bang, particles were produced due to the rapid expansion of the universe. Because direct observation of the universe at this time is impossible, a lab-based ultra-cold quantum gas can be used as an analog. Previous research has been done to computationally model these gases while restricted to a quasi-two-dimensional geometry. This restriction yields an analog universe with two only spatial dimensions and a description of a reduced momentum distribution of the created particles. A computational model simulating an unrestricted gas and an analog universe with three spatial dimensions requires the use of high-performance computing. I aim to use high-performance computing to simulate the full-dimensional system. This will allow me to measure the error associated with using a reduced-dimensional model, and determine the cost-benefit ratio to using a high-performance implementation.

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Thesis for the Computational Science Master's program at Central Washington University. 3D extension of an analog of cosmological particle creation in a Friedmann-Robertson-Walker universe by numerically simulating a Bose-Einstein condensate with a time-dependent scattering length.

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