Bayesian Inference and Collapse Models in Levitated Optomechanics

LAING, SHAUN

doi:10.23889/SUThesis.66884

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Bayesian Inference and Collapse Models in Levitated Optomechanics / SHAUN LAING

Swansea University Author: SHAUN LAING

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Copyright: The Author, Shaun J. Laing, 2024 CC BY - Distributed under the terms of a Creative Commons Attribution 4.0 License (CC BY 4.0).
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DOI (Published version): 10.23889/SUThesis.66884

Abstract

An apparent contradiction exists between the wave nature of quantum mechanics allowing for superposition of states, and the observations of classical mechanics.Several possible solutions for this discrepancy have been suggested including the proposal that quantum and classical dynamics are simply ap...

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Published:	Swansea University, Wales, UK 2024
Institution:	Swansea University
Degree level:	Doctoral
Degree name:	Ph.D
Supervisor:	Bateman, J., E., & O'Keeffe, K.
URI:	https://cronfa.swan.ac.uk/Record/cronfa66884
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first_indexed	2024-06-24T13:56:16Z
last_indexed	2024-06-24T13:56:16Z
id	cronfa66884
recordtype	RisThesis
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spelling	v2 66884 2024-06-24 Bayesian Inference and Collapse Models in Levitated Optomechanics ea94c0ea23dc411f9ac4148f6d08ca65 SHAUN LAING SHAUN LAING true false 2024-06-24 An apparent contradiction exists between the wave nature of quantum mechanics allowing for superposition of states, and the observations of classical mechanics.Several possible solutions for this discrepancy have been suggested including the proposal that quantum and classical dynamics are simply approximations to a universal dynamics. Collapse models modify the usual Schrödinger equation that provides this universal dynamics and can be tested experimentally. In this thesis, we conceive of a Talbot matter-wave interferometer to probe the superposition of high-mass nanoparticles. We extend existing descriptions beyond the point-like regime allowing us to test collapse models with masses up to 109u. During this development, we discover and correct an error in calculating the Talbot coeﬃcients for a laser grating in the Mie regime. A Bayesian analysis is performed on simulated data making greater use of each recorded arrival position of the nanoparticle and provide a real-valued probability density to the parameter space as opposed to the binary exclusion plots of previous works. We ﬁnd a limit to the size of spherical particles that can be used as a result of the grating transformation being averaged over the particle. As a result, during a collaboration with the Geraci group at Northwestern University, we develop a numerical method for ﬁnding where arbitrarily shaped particles scatter information about their position and use these techniques to derive the Talbot coeﬃcients for arbitrary particle geometries. E-Thesis Swansea University, Wales, UK Physics, Quantum Physics, Optomechanics, Talbot Effect, Collapse Models, Matter Wave Interferometry 29 5 2024 2024-05-29 10.23889/SUThesis.66884 A selection of content is redacted or is partially redacted from this thesis to protect sensitive and personal information COLLEGE NANME COLLEGE CODE Swansea University Bateman, J., E., & O'Keeffe, K. Doctoral Ph.D EPSRC doctoral training grant EPSRC doctoral training grant 2024-06-24T15:01:03.6141100 2024-06-24T14:49:09.0431259 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics SHAUN LAING 1 66884__30738__acf5367461aa45cf95d8c00df199c8a7.pdf 2024_Laing_S.final.66884.pdf 2024-06-24T14:55:32.9731035 Output 11295056 application/pdf E-Thesis – open access true Copyright: The Author, Shaun J. Laing, 2024 CC BY - Distributed under the terms of a Creative Commons Attribution 4.0 License (CC BY 4.0). true eng https://creativecommons.org/licenses/by/4.0/
title	Bayesian Inference and Collapse Models in Levitated Optomechanics
spellingShingle	Bayesian Inference and Collapse Models in Levitated Optomechanics SHAUN LAING
title_short	Bayesian Inference and Collapse Models in Levitated Optomechanics
title_full	Bayesian Inference and Collapse Models in Levitated Optomechanics
title_fullStr	Bayesian Inference and Collapse Models in Levitated Optomechanics
title_full_unstemmed	Bayesian Inference and Collapse Models in Levitated Optomechanics
title_sort	Bayesian Inference and Collapse Models in Levitated Optomechanics
author_id_str_mv	ea94c0ea23dc411f9ac4148f6d08ca65
author_id_fullname_str_mv	ea94c0ea23dc411f9ac4148f6d08ca65_***_SHAUN LAING
author	SHAUN LAING
author2	SHAUN LAING
format	E-Thesis
publishDate	2024
institution	Swansea University
doi_str_mv	10.23889/SUThesis.66884
college_str	Faculty of Science and Engineering
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hierarchy_top_title	Faculty of Science and Engineering
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hierarchy_parent_title	Faculty of Science and Engineering
department_str	School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
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description	An apparent contradiction exists between the wave nature of quantum mechanics allowing for superposition of states, and the observations of classical mechanics.Several possible solutions for this discrepancy have been suggested including the proposal that quantum and classical dynamics are simply approximations to a universal dynamics. Collapse models modify the usual Schrödinger equation that provides this universal dynamics and can be tested experimentally. In this thesis, we conceive of a Talbot matter-wave interferometer to probe the superposition of high-mass nanoparticles. We extend existing descriptions beyond the point-like regime allowing us to test collapse models with masses up to 109u. During this development, we discover and correct an error in calculating the Talbot coeﬃcients for a laser grating in the Mie regime. A Bayesian analysis is performed on simulated data making greater use of each recorded arrival position of the nanoparticle and provide a real-valued probability density to the parameter space as opposed to the binary exclusion plots of previous works. We ﬁnd a limit to the size of spherical particles that can be used as a result of the grating transformation being averaged over the particle. As a result, during a collaboration with the Geraci group at Northwestern University, we develop a numerical method for ﬁnding where arbitrarily shaped particles scatter information about their position and use these techniques to derive the Talbot coeﬃcients for arbitrary particle geometries.
published_date	2024-05-29T15:01:02Z
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score	11.012678

Bayesian Inference and Collapse Models in Levitated Optomechanics / SHAUN LAING

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