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Quantum Simulation Algorithms with Applications to Quantum Error Correction and Topological Data Analysis
This thesis presents three results of relevance to the simulation of quantum dynamics on quantum computers. The first is the development of hybridized methods of quantum simulation with Alessandro Roggero and Nathan Wiebe. ... 
Rotationally equivariant learning of generalizable protein structuretofunction maps
Proteins play a central role in biology from immune recognition to brain activity. Although major advances in machine learning have improved our ability to predict protein structure from sequence, determining protein ... 
Search for Neutrinoless Double Beta Decay Using the Full Majorana Demonstrator Dataset
The \textsc{Majorana} Collaboration is searching for the neutrinoless double$\beta$ decay of $^{76}$Ge. The \textsc{Majorana Demonstrator} consists of two modular arrays of highpurity Ge detectors operated in vacuum ... 
Equivalence Principle Tests and Direct Searches for UltraLight Dark Matter with FusedSilica Torsion Fibers
Torsion balances are precision instruments for testing gravity and other experiments. However, they are limited by thermal noise and angular readout noise. This dissertation presents research and development in producing ... 
Information Content and Analysis of Xray Absorption Spectroscopy and Xray Emission Spectroscopy Using Machine Learning
Data science and machine learning (ML) methods are revolutionizing scientific analysis and data processing. As a case in point, ML applied to Xray spectroscopies has recently exploded, showcasing its effectiveness in ... 
MeasurementInduced Quantum Phase Transitions
There has been a recent increase in interest towards a nonequilibrium phenomenon called the measurementinduced quantum phase. These phases occur in "hybrid" systems where unitary evolution is interspersed with projective ... 
Results from a 3.1 kg day Target Exposure with Skipper CCDs from DAMIC at SNOLAB and other Beyond the Standard Model Searches with Semiconductor Detectors
We present here progress on a dark matter (DM) and neutrionless double beta decay (\nldbd) experimental search. We constrained the WIMPnucleon scattering cross section $<9 \ \rm GeV / c^2$ in a silicon target with an 11 ... 
Natural Radioactive Background Suppression in 76Ge Neutrinoless Doubleβ Decay Experiments
The observation of neutrino oscillations showed that neutrinos have mass and provides direct evidence that the Standard Model of particle physics is an incomplete theory of the universe at the fundamental scale. As a neutral ... 
Fission within the Time Dependent Superfluid Local Density Approximation
This thesis investigates fission within the framework of the time dependent superfluid local density approximation (TDSLDA), the most complete microscopic theory to describe low energy nuclear phenomena currently available. ... 
Trapping and cooling twodimensional crystals of barium ions
The design and characterization of a trap specifically designed to create 2D crystals of trappedbarium ions is presented. The trap is used to study the Doppler cooling of 2D crystals. Ions in RF traps are subject to ... 
Interactiondriven dynamical delocalization in a kicked onedimensional ultracold gas
This dissertation reports on the experimental observation of interactiondriven dynamical delocalization in a kicked onedimensional ultracold gas. In the absence of interactions, particles in a onedimensional disordered ... 
Precession frequency analysis for Run2 and Run3 of the Muon g2 experiment
The Fermilab Muon $g2$ experiment aims to measure the anomalous magnetic momentum of the muon, $a_{\mu}$, to 140 part per billion precision. This measurement is compared to the Standard Model (SM) value for $a_{\mu}$ as ... 
Mathematical methods for magnetoencephalography forward and inverse modeling with enhanced spatial resolutions
Nextgeneration magnetoencephalography (MEG) sensors, opticallypumped magnetometers (OPMs), can be placed closer to the head and are expected to measure signals with improved spatial resolutions. This introduces many ... 
Entanglement between Quarks in Hadrons
Entanglement between valence quarks and the sea in hadrons is shown to be deeply connectedto important features of QCD, namely chiral symmetry breaking and confinement. The sea degrees of freedom can be traced over to give ... 
Modeling Hydra from neuron to muscle to behavior
The fundamental question in neuroscience is to understand how single neurons combine to function as a network, and how their activity drives muscles to produce variety of behaviors to interact with the environment and ... 
The Axion Universe
The standard models of cosmology and particle physics have met enormous success. However,there are still a few big questions that remain to be answered. One of these outstanding questions is “what is the dark matter?”. One ... 
Probing electronic correlation and topology in twisted multilayer graphene
MoirÃ© quantum materials, stacked 2D atomic layers with a small twist angle or a slight lattice mismatch, have become emerging platforms to study the physics of correlation, topology, and the interplay between the two. A ... 
Recent Progress in Quantum Gravity: KarchRandall Braneworld, Entanglement Islands and Graviton Mass
In this thesis, we review important recent progress in our understanding of entanglement islands and quantum gravity. We illustrate the concept of entanglement island and its implications to the black hole information ... 
Datadriven modeling and control of quantum dynamics
Control is the factor that delineates quantum science from quantum engineering. Modelbased optimal control is a modern approach to practical control engineering. It designs control laws using optimization based on dynamical ... 
Tuning Superconductivity and Competing Phases in an Ironbased Superconductor with Uniaxial Stress
Unconventional superconductors exhibit strong electronic correlations, quantum criticality, and numerous brokensymmetry collectively ordered phases involving a complex combination of charge, spin, and lattice degrees of ...