School of Physics - Theses
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ItemNo Preview AvailableHydrogen in the first billion years: a study of the 21-cm signal from the high-redshift Universe( 2024-01)The history of our Universe is reflected in the state of its hydrogen (HI) atoms. After recombination (redshift z ~ 1000), the intergalactic medium (IGM) is composed primarily of neutral hydrogen (HI). The formation of the first stars and the first galaxies in the early Universe during Cosmic Dawn (z ~ 30) triggered the last major phase change of the HI. During the Epoch of Reionisation (EoR), the intense ultraviolet (UV) and X-ray radiation emitted by the first luminous sources carve out ionised hydrogen (HII) bubbles in the IGM. These HII bubbles expand and fill the whole Universe (z ~ 5). By altering the thermal and ionisation state of the IGM, the EoR directly impacts the subsequent formation and evolution of galaxies in the Universe. The 21-cm hyperfine spin-flip of HI is the primary probe of this period, and dedicated observational campaigns are ongoing/under construction to observe this redshifted 21-cm emission. Theoretical models must be on hand to interpret current upper limits as well as future observations. Semi-analytical models (SAMs) are well-suited for this purpose because of their computationally efficient and physically motivated prescriptions of relevant physics. Galaxy formation SAMs typically work by post-processing the dark-matter halo merger trees from dark-matter-only N-body simulations. This thesis updated the Meraxes SAM of coupled galaxy formation and reionisation in this thesis. Specifically, the explicit calculation of the spin temperature of the HI gas was implemented. This involves tracking the thermal state of the IGM, which is influenced primarily by the X-rays. This updated version of Meraxes was deployed on an N-body simulation of side 210 h^(-1) Mpc. Such large cosmological volumes are necessitated by the long mean free paths, ~ O(100 Mpc), of X-rays in the early Universe. At the same time, for a given number of particles, the mass resolution of an N-body simulation is inversely proportional to its volume. Hence, the simulations will not capture the full source population. To overcome this, the dark matter merger trees are augmented by introducing low-mass haloes into the simulations. The augmented simulation is one of the large-volume simulations in the literature that is simultaneously capable of resolving all atomically cooled haloes down from z = 20 and is sufficiently large enough to track the impact of X-rays on the thermal state of the IGM. Taking advantage of the computational efficiency of the Meraxes SAM, the impact of the galaxy X-ray luminosity on the 21-cm statistics, i.e. the 21-cm global signal and 21-cm power spectra (21-cm PS), are explored. Exploiting the large dynamic range of the model, the thesis also shows that the magnitude of the non-Gaussian term in the sample variance of the 21-cm PS is more than twice the magnitude of the Gaussian term at scales relevant to the upcoming Square Kilometre Array (SKA). The thesis then explores the astrophysical constraints that will be achievable with a future detection of the 21-cm PS. Using the Fisher matrix formalism, the fractional uncertainties in the model parameters enabled by a 21-cm detection spanning z in [5, 24] from a 1000 h mock observation with the SKA are forecasted. This work focused on the X-ray luminosity, ionising UV photon escape fraction, star formation and supernova feedback of the first galaxies. It is shown that it is possible to recover 5 of the 8 parameters describing these properties with better than 50 per cent precision using just the 21-cm PS. By combining UV luminosity functions with the 21-cm PS, we can improve our forecast, with 5 of the 8 parameters constrained to better than 10 per cent (and all below 50 per cent).
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ItemTopological quantum computing with magnet-superconductor hybrid systems( 2023-11)Developing a practical general purpose quantum computer is this eras moonshot project, enabling fundamental advances in simulating quantum many-body systems, as well as promising new classical-computer-beating algorithms with applications in cryptography, meteorology, economics, and logistics. Current quantum processors struggle with short coherence times --- meaning that the fragile quantum bits (qubits) break down --- resulting in high error rates. Thus complicated or long calculations are prohibitive to run on current devices. Quantum error correction could be the solution, however, many physical qubits are required to encode a single logical qubit. Thus a massive scaling up of hardware is required to realise even a modest number of fault-tolerant logical qubits. Over the past twenty years the idea of engineering an inherently fault-tolerant, or topological, quantum computer has been developed. In principle, these fault-tolerant qubits do not decohere due to a topological protection; the information is distributed across a physical system such that local perturbations do not damage the whole information encoding. Majorana zero-modes, characteristic quasiparticles in topological superconductors, have emerged as a leading candidate for the building blocks of a fault-tolerant qubit. Many experimental platforms which might yield Majorana zero-modes have been proposed, but as of writing unambiguous evidence for Majorana zero-modes and topological superconductivity has not been presented in any experiment. Here I study magnet-superconductor hybrid (MSH) systems, which involve networks of magnetic adatoms assembled on a superconducting surface via lateral atom manipulation using a scanning tunneling microscope tip. These systems are clean and crystalline, and thus are an ideal platform for experiments. I present compelling theoretical and experimental evidence for topological superconductivity in Mn and Fe chains on Nb(110). However, the systems investigated so far experimentally have long localisation lengths, resulting in hybridised Majorana modes. Because these modes cannot be used to build a fault-tolerant qubit, I theoretically investigate several extensions to these experiments. I propose constructing quasi one-dimensional chains consisting of several rows of magnetic adatoms, with ferromagnetic order in one crystalline direction and antiferromagnetic in the other. I also suggest engineering the Nb(110) surface with an alloy to dramatically increase the Rashba splitting. Both of these proposals are readily accessible in experiment, and could yield non-hybridised Majorana zero-modes. Having established the viability of the platform, I introduce a numerical apparatus for studying many-body nonequilibrium superconducting physics. While this is generic and can be applied to any superconducting problem, here I use it to study topological quantum computing on a MSH platform. I first show that quantum gates can indeed be implemented via braiding Majorana zero-modes. I then show how single-molecule magnets can be use to initialise and readout MSH qubits. I build on this protocol and introduced a dressed Majorana qubit, which combines an MSH network with single-molecule magnets. These could be easier to initialise and readout than a conventional Majorana qubit.
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ItemDetecting and characterising extrasolar planets in reflected light(University of Melbourne, 2009)
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ItemFault-tolerant quantum computation with local interactions(University of Melbourne, 2009)
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ItemAddressing domain shift in deeply-learned jet tagging at the LHC( 2023-09)Over the last fifteen years, deep learning has emerged as an extremely powerful tool for exploiting large datasets. At the Large Hadron Collider, which has been in operation over the same time span, an important use case is to identify the initiating particles of hadronic jets. Due to the complexity of the radiation patterns within jets, neural network-based classifiers are able to out-perform traditional techniques for jet tagging. While these approaches are powerful, neural networks must be applied carefully to avoid performance losses in the presence of domain shift—where the data on which a model is evaluated follows different statistics to the training dataset. This thesis presents studies of possible strategies to mitigate domain shift in the application of deep learning to jet tagging. Firstly, we develop a deep generative model that can separately learn the distribution of quark and gluon jets from mixed samples. Building on the jet topics framework, this model provides the ability to sample quark and gluon jets in high dimension without taking input from Monte Carlo simulations. We demonstrate the advantage of the model over a conventional approach in terms of estimating the performance of a quark/gluon classifier on experimental data. One can also use likelihoods under the model to perform classification that is robust to outliers. We go on to evaluate fully- and weakly-supervised classifiers using real datasets collected at the CMS experiment. Two measurements of the quark/gluon mixture proportions of the datasets are made under different assumptions. Compared to the predictions based on simulation, we either over- or under-estimate the quark fractions of each sample depending on which assumption is made. When estimating the discrimination power of the classifiers in real data we find that while the absolute performance depends on the choice of fractions, the rankings among the models are stable. In particular, weakly-supervised models trained on real jets outperform both simulation-trained models. Our generative networks yield competitive classification and provide a better model for the quark and gluon jet topic distributions in data than the simulation. Finally, we investigate the performance of a number of methods for training mass-generalised jet taggers, with a focus on algorithms that leverage meta-learning. We study the discrimination of jets from boosted Z' bosons against a QCD background and evaluate the networks' performance at masses distant from those used in training. We find that a simple data augmentation strategy that standardises the angular scale of jets with different masses is sufficient to produce strong generalisation. The meta-learning algorithms provide only a small improvement in generalisation when combined with this augmentation.
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ItemMonte Carlo characterisation of narrow photon fields for intensity modulated radiotherapy(University of Melbourne, 2006)
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ItemFocusing of an atomic beam using a TEM01 mode lens(University of Melbourne, 2006)
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ItemFunctional Renormalization Group Methods for Spin-Orbit Coupled Hubbard Systems( 2023-08)This thesis establishes the extension of the functional renormalization group to systems of arbitrary lattice complexity with additional spin or orbital degrees of freedom. Using these capabilities, we investigate the effects of spin-orbit coupling on square and triangular lattice structures, which describe for example cuprates, iron-pnictides, strontium ruthenate, tin layers on silicon and lead layers on silicon-carbide. For the methodological advances, we build on previous studies of the truncated-unity functional renormalization group, but remedy existing symmetry breaking issues. These were incurred when combining a sublattice degree of freedom with the expansion of non- transfer momentum dependencies in a plane-wave basis, and can be alleviated by careful selection of considered bonds. We furthermore demonstrate a wide range of intricacies, paramount for correct functional renormalization calculations, all of which we resolved. The obtained algorithms we validate at certainty not hitherto achieved, heralding a novel approach of quantitative comparison. All of this is contained and published in a high- performance C++ implementation, already in use by junior researchers. Motivated by experimental results, we study the effect of Rashba spin-orbit coupling in the square-lattice Hubbard model. We find the superconducting instabilities to be robust under weak-to-moderate Rashba-coupling strengths. When the coupling is increased further the transition scale decreases significantly. We furthermore measure the contribution of triplet superconductivity, to indicate regions of interest for topological effects. Taking advantage of the functional renormalization group’s capability to produce phase diagrams, we also investigate particle-hole instabilities in the system. Here we find a complex interplay of commensurate and incommensurate spin-density waves and unexpected regions of accidental nesting. The weak-to-intermediate coupling phase diagram in filling and spin-orbit coupling strength is presented. We lastly turn our attention to triangular lattice materials. Here, recent ab-initio calculations predict high Rashba spin-orbit coupling strengths in, for example, Pb on SiC. We introduce Rashba spin-orbit coupling to the Hubbard model, finding a wide range of spin-density waves with differing ordering vectors, some of which appear favorable for multi-q instabilities. We further find superconducting phases around half-filling and at low filling. The region around half-filling is singlet-dominated, gaining triplet weight with increased spin-orbit coupling. Contrarily the pure triplet region at low filling is an extended phase, persisting under spin-orbit coupling. We present a phase diagram for the triangular lattice Rashba-Hubbard model in filling and spin-orbit coupling strength.
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ItemMassive Black Holes( 2023-08)Black holes are one of the most fundamental astrophysical objects in our universe. In this thesis I look at massive black holes (MBH) with masses $10^{4}-10^{10}$ times that of our sun. In particular, I investigate how their gravitational influence distorts photon trajectories and describe how this can be used to study MBH. This phenomena, known as gravitational lensing, results in changes in shape and brightness of the images of the source as seen by a distant observer. The most striking manifestation of gravitational lensing is multiple images, known as \emph{strong} gravitational lensing. Strong gravitational lensing also results in the magnification of one or more of the images above that which would have been observed in the absence of deflecting matter. The number of cosmological black holes (MBH that do not belong to a galaxy core) is not well constrained. Gravitational lens statistics is one of the few ways to probe their number density. The fraction of sources experiencing strong gravitational lensing (multiple-image formation) is proportional to the number density of gravitational lenses which are able to form such images. GRBs are short bursts of $\gamma$-rays which signify the birth of a stellar mass black hole. Gravitational lensing of time-series data (light-curves) manifests as repetition of the primary signal as a lensed ``echo''. I describe the Bayesian parameter estimation and model selection software \pygrb{} which I wrote for this thesis. I use \pygrb{} to analyse GRB lens candidates from the Burst And Transient Source Experiment (BATSE) GRB catalogue to determine how similar the putative GRB lensed echo images are. I find one convincing candidate -- GRB~950830 -- which passes all our tests for statistical self-similarity. I conclude that GRB~950830 was gravitationally lensed by a $(1+z_l)M_l\approx\unit[5.5\times 10^4]{\msun}$ intermediate mass black hole (IMBH). Furthermore, based on the occurrence rate of this lensing event, I am able to estimate that the density of IMBH in the universe is $n_\textsc{imbh}=\unit[6.7^{+14.0}_{-4.8}\times10^{3}]{Mpc^{-3}}$. I also study the merger of black holes, looking at the recoiling quasar E1821+643 (E1821 hereafter). E1821 has a mass of $\mbh \sim \unit[2.6\times10^9]{\msun}$ and is moving with a line-of-sight velocity $v_\text{los}\approx \unit[2,070\pm50]{\kms}$ relative to its host galaxy. I use Bayesian inference to infer that E1821+643 was likely formed from a binary black hole system with masses of $m_1\sim 1.9^{+0.5}_{-0.4}\times \unit[10^9]{M_\odot}$, $m_2\sim 8.1^{+3.9}_{-3.2} \times \unit[10^8]{M_\odot}$ (90\% credible intervals). Given our model, the black holes in this binary were likely to be spinning rapidly with dimensionless spin magnitudes of ${\chi}_1 = 0.87^{+0.11}_{-0.26}$, ${\chi}_2 = 0.77^{+0.19}_{-0.37}$. I find that E1821+643 is likely to be rapidly rotating with dimensionless spin ${\chi} = 0.92\pm0.04$. Recoiling black holes are one method to populate the universe with massive black holes, however, these are expected to be rare. Massive black holes carry with them a tight cluster of stars and stellar remnants. These stars will pass through the optical caustic(s) of the black hole occasionally, which may lead to observable brightening of the star. Magnifications of greater than one million can easily be achieved, which I term ``Gargantuan Magnification Events'' (GMEs). I estimate the rate at which this lensing occurs, including the distribution of magnifications and event durations. I consider GMEs of pulsars in orbit of MBH as a possible generating mechanism for Fast Radio Bursts (FRBs). I find that pulsar GMEs are able to account for $0.1-1\%$ of the total FRB rate as observed by the Canadian Hydrogen Intensity Mapping Experiment Fast Radio Burst (CHIME/FRB) radio observatory. These seemingly unrelated problems all tied together in the end. This thesis is a study of black holes, their interaction with light and matter, and how they evolve through cosmic time. Many lifetimes of work have gone into generating the theory behind the sentence just prior. I hope that my contributions embellish these theories.
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ItemDeveloping and applying quantum sensors based on optically addressable spin defects( 2023-04)Quantum sensing aims to further our understanding of the natural world and support an upcoming technological revolution by exploiting quantum properties or systems to exceed the performance of classical sensing. Owing to their convenient modes of operation and strong room temperature quantum properties, optically active spin defects hosted within solid state materials have come to prominence as one of the foremost tools of choice in this landscape. Many applications now aim to leverage dense ensembles of such defects to boost measurement sensitivity or scale up, which places greater emphasis on the quality of the host material and sensor production methods since cherry-picking individual defects is no longer an option. The prototypical example of such a defect is the nitrogen-vacancy (NV) centre in diamond, which exhibits remarkable room temperature spin coherence, bestowed upon it by diamond's material properties. In this thesis, we first look at optimising the production of NV ensembles for quantum sensing, aiming to efficiently and cost-effectively produce sensors capable of performing high sensitivity measurements in two key regimes that will be central to the experimental applications explored later. The topics examined are hyperpolarisation of a nuclear spin ensemble on the diamond surface through coupling to an ultra-near-surface NV layer, and investigating the properties of a van der Waals antiferromagnet through widefield NV microscopy. The demands placed on the NV layer for these applications are diverse from one another, with charge stability and quantum coherence properties being vital for the former, and the ability to scalably and reproducibly create layers of known thickness crucial to the latter. In light of these studies, we finally consider whether a different spin system housed within an entirely separate materials system, the boron-vacancy defect in hexagonal boron nitride, may be a suitable alternative to the well-established NV diamond system. We find that the distinct properties of the new host material provide both advantages and disadvantages compared to diamond, and that this system could allow quantum sensing to find even broader scope in the future. By investigating the link between host material properties and the suitability of a quantum sensor for given applications, this thesis provides a unique perspective on the future of the field, which will likely demand more highly specialised and varied sensors.