Numerical methods for the simulation of quantum ultra light dark matter
Abstract/Contents
- Abstract
- Ultra light dark matter is an interesting dark matter candidate. In this model we work with a particle so light that its wave nature manifests on astrophysical scales. Here we operate on the interface between cosmology and quantum mechanics. Simulations have emerged as one of the most powerful methods for studying this model. Typically, the classical field theory is used to simplify the numerics of the problem on a wide variety of time and length scales. However, the applicability of this approximation on some of these scales has become a subject of some debate in the literature. The numerical complexity of quantum mechanical simulations has resulted in much of the previous work on this topic relying on analytic approximations or small toy systems. In this thesis we discuss the development and application of numerical methods to study the classical limit of quantum mechanics by simulating quantum corrections to test systems many orders of magnitude larger than had been previously studied in this context. Much of the thesis draws on four publications, one conference proceedings, and one paper in preparation, that I have worked on over the last six years. Each of the chapters 2-6 presents a different method for simulating ultra light dark matter, which are, in order: the classical field theory, full quantum simulations, the field moment expansion, and the truncated Wigner approximation. In each chapter we study both the numerical implementation of each method as well as what they can tell us about the nature of quantum corrections to the classical theory. We use these simulations to estimate both the effect of the quantum corrections on the predictions of classical field theory as well as approximate the time scales on which they become large.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2023; ©2023 |
| Publication date | 2023; 2023 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Eberhardt, Andrew |
|---|---|
| Degree supervisor | Abel, Tom G, 1970- |
| Thesis advisor | Abel, Tom G, 1970- |
| Thesis advisor | Graham, Peter |
| Thesis advisor | Wechsler, Risa H. (Risa Heyrman) |
| Degree committee member | Graham, Peter |
| Degree committee member | Wechsler, Risa H. (Risa Heyrman) |
| Associated with | Stanford University, School of Humanities and Sciences |
| Associated with | Stanford University, Department of Physics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Andrew Eberhardt. |
|---|---|
| Note | Submitted to the Department of Physics. |
| Thesis | Thesis Ph.D. Stanford University 2023. |
| Location | https://purl.stanford.edu/nb564bv6571 |
Access conditions
- Copyright
- © 2023 by Andrew Eberhardt
- License
- This work is licensed under a Creative Commons Attribution 3.0 Unported license (CC BY).
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