Dark-field: A new kind of x-ray imaging. This project aims to develop new x-ray imaging capabilities that look inside an object and map out those details that are too small to be seen directly, by extracting the dark-field which is produced as x-ray light scatters. Dark-field images can reveal tiny cracks in manufactured parts, discover powdered explosives or drugs during security screening, and detect changes in the size of the many tiny air sacs in the lungs. Expected outcomes of this project ....Dark-field: A new kind of x-ray imaging. This project aims to develop new x-ray imaging capabilities that look inside an object and map out those details that are too small to be seen directly, by extracting the dark-field which is produced as x-ray light scatters. Dark-field images can reveal tiny cracks in manufactured parts, discover powdered explosives or drugs during security screening, and detect changes in the size of the many tiny air sacs in the lungs. Expected outcomes of this project include new instruments and methods of analysis that will allow x-ray dark-field imaging to be quantitative and widely adopted. These methods should benefit non-invasive multi-scale imaging at the Australian Synchrotron and equip x-ray imaging in industry, security and healthcare.Read moreRead less
Cell–fluid interaction: inside and outside cells. The project aims to measure mechanics at the cellular level using a combination of optical tweezers for measurement of nano-scale environment around/inside cells and light-sheet microscopy for imaging. The project expects to generate new knowledge about movement of cells through their environment, relating to collective behaviour which is of importance in understanding infections and formation of biofilms. Expected outcomes include deepened under ....Cell–fluid interaction: inside and outside cells. The project aims to measure mechanics at the cellular level using a combination of optical tweezers for measurement of nano-scale environment around/inside cells and light-sheet microscopy for imaging. The project expects to generate new knowledge about movement of cells through their environment, relating to collective behaviour which is of importance in understanding infections and formation of biofilms. Expected outcomes include deepened understanding of an enigmatic process conserved from amoebae to humans, by which cells ‘drink and eat’ by ‘gulping’ fluid and supplement their nutrient intake by degrading proteins and cell debris. It will generate new knowledge of these processes to better understand how mechanics affects cellular life.Read moreRead less
From superintegrability to quasi-exact solvability: theory and application. This project aims to develop mathematical techniques to resolve longstanding problems in the area of integrability and exact solvability. Quantum integrable systems and exact solvable models are of central importance for understanding the correct behaviours of complex quantum problems without approximation. This project aims to construct sophisticated mathematical tools to settle key questions across a variety of models ....From superintegrability to quasi-exact solvability: theory and application. This project aims to develop mathematical techniques to resolve longstanding problems in the area of integrability and exact solvability. Quantum integrable systems and exact solvable models are of central importance for understanding the correct behaviours of complex quantum problems without approximation. This project aims to construct sophisticated mathematical tools to settle key questions across a variety of models such as superintegrable systems, quantum spin chains, and spin-boson models. Anticipated applications of the proposed research include the accurate prediction of physical phenomena, from energy spectra to quantum correlations. Such advances should have significant ramifications, and provide benefits, well beyond the mathematical discipline itself.Read moreRead less
Quantum control designed from broken integrability. This Project aims to open new avenues in quantum device engineering design. This will be achieved through the use of advanced mathematical methodologies developed around the notion of quantum integrability, and the breaking of that integrability. The expert team of Investigators will capitalise on their recent achievements in this field, which includes a first example of a quantum switch designed through broken integrability. The expected outco ....Quantum control designed from broken integrability. This Project aims to open new avenues in quantum device engineering design. This will be achieved through the use of advanced mathematical methodologies developed around the notion of quantum integrability, and the breaking of that integrability. The expert team of Investigators will capitalise on their recent achievements in this field, which includes a first example of a quantum switch designed through broken integrability. The expected outcomes will encompass novel applications of abstract mathematical physics towards the concrete control of quantum mechanical architectures. These outcomes will promote new opportunities for the construction of atomtronic devices, which are rising as a foundation for next-generation quantum technologies.
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Dynamic multi-modal x-ray imaging. This project aims to create sensitive new methods of x-ray imaging that capture multiple image modalities with a single snapshot. Conventional x-ray imaging is widely used in a range of industries, but captures only a fraction of the rich information that is available in the x-ray wavefield. This project expects to extract additional image modalities to reveal x-ray-transparent features, and detect microscopic textures. By combining these capabilities with the ....Dynamic multi-modal x-ray imaging. This project aims to create sensitive new methods of x-ray imaging that capture multiple image modalities with a single snapshot. Conventional x-ray imaging is widely used in a range of industries, but captures only a fraction of the rich information that is available in the x-ray wavefield. This project expects to extract additional image modalities to reveal x-ray-transparent features, and detect microscopic textures. By combining these capabilities with the ability to capture images of a moving sample, this project will enable innovative biomedical and materials research studies, and develop new imaging technologies for use in security, hospitals and manufacturing. New methods of x-ray imaging will have wide-ranging benefits for society, the economy and healthcare.Read moreRead less
Representation theory in exactly solvable systems. This project aims to develop the representation theory of Lie and generalised Lie algebras related to exactly solvable models. The project will exploit several innovative ideas on the structure of quadratic algebras, Casimir invariants, differential operator realisations, roots systems, characters and indecomposable representations. This will give fundamental mathematical insight and allow the construction of new, exactly solvable models. This w ....Representation theory in exactly solvable systems. This project aims to develop the representation theory of Lie and generalised Lie algebras related to exactly solvable models. The project will exploit several innovative ideas on the structure of quadratic algebras, Casimir invariants, differential operator realisations, roots systems, characters and indecomposable representations. This will give fundamental mathematical insight and allow the construction of new, exactly solvable models. This will have an impact on theoretical physics as exactly solvable models play a central role in our understanding of a plethora of physical phenomena.Read moreRead less
Metamaterials for control of acoustic radiation forces. This project aims to investigate how sound waves exert forces on objects, and how these forces can be controlled by artificially engineered structures known as acoustic metamaterials. The project is expected to lead to a new understanding of acoustic radiation forces, and how they can be efficiently manipulated with high resolution. The expected outcome is a new capability for the measurement of delicate mechanical structures, which avoids ....Metamaterials for control of acoustic radiation forces. This project aims to investigate how sound waves exert forces on objects, and how these forces can be controlled by artificially engineered structures known as acoustic metamaterials. The project is expected to lead to a new understanding of acoustic radiation forces, and how they can be efficiently manipulated with high resolution. The expected outcome is a new capability for the measurement of delicate mechanical structures, which avoids the cost, complexity and side-effects of existing systems. This should benefit many high-tech areas, including inflatable space structures, micro-mechanical sensors and actuators and precise optical components, as well as biological areas such as the study of insect flight and communication.Read moreRead less
Fluid-Structure Interactions in Flows through Flexible-Walled Channels. This project seeks to deliver a definitive understanding of the behaviour of steady and pulsating fluid flow through compliant-walled channels and pipes. Novel theoretical stability-analyses and experimental investigations, complemented by targeted numerical simulations, will be developed and used to identify and categorise fluid- and wall-based wave-disturbances and their interactions. This can underpin the development of t ....Fluid-Structure Interactions in Flows through Flexible-Walled Channels. This project seeks to deliver a definitive understanding of the behaviour of steady and pulsating fluid flow through compliant-walled channels and pipes. Novel theoretical stability-analyses and experimental investigations, complemented by targeted numerical simulations, will be developed and used to identify and categorise fluid- and wall-based wave-disturbances and their interactions. This can underpin the development of technologies that control these flows to advantage in both engineered fluid-flow and biologically occurring systems. Robust design guidelines will emerge to safeguard and enhance the use of compliant liners and flexible panels for drag and noise reductions, or to protect surfaces exposed to fluid flows. Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE210101264
Funder
Australian Research Council
Funding Amount
$342,346.00
Summary
Toroidal quantum groups, integrable models and applications. Modelling systems of quantum and classical mechanics usually relies on computationally expensive numerical methods. Such methods typically provide raw answers and give little insight. In contrast, a special class of modelling based on quantum integrability provides us with a variety of analytic tools thanks to connections with algebra, geometry and combinatorics. The project aims to study quantum integrability with the help of new exci ....Toroidal quantum groups, integrable models and applications. Modelling systems of quantum and classical mechanics usually relies on computationally expensive numerical methods. Such methods typically provide raw answers and give little insight. In contrast, a special class of modelling based on quantum integrability provides us with a variety of analytic tools thanks to connections with algebra, geometry and combinatorics. The project aims to study quantum integrability with the help of new exciting developments in toroidal quantum groups. The anticipated outcomes include constructions of new models, developing analytic methods and computer algebra packages. These results are expected to facilitate challenging computational problems in modelling of quantum and classical systems.Read moreRead less
Solvability and universality in stochastic processes. Exactly solvable stochastic processes are an important area of mathematical research, with cross-disciplinary links to quantum physics, quantum algebras and probability theory. These processes can be used to model a variety of real-world phenomena such as crystal growth and polymers in random media. This project aims to significantly expand our knowledge of exactly solvable stochastic processes by extending them to new algebraic frameworks. A ....Solvability and universality in stochastic processes. Exactly solvable stochastic processes are an important area of mathematical research, with cross-disciplinary links to quantum physics, quantum algebras and probability theory. These processes can be used to model a variety of real-world phenomena such as crystal growth and polymers in random media. This project aims to significantly expand our knowledge of exactly solvable stochastic processes by extending them to new algebraic frameworks. Among the outcomes of the project, we expect to identify new probabilistic structures which go beyond the famous Gaussian universality class. These theoretical developments allow better prediction of randomly growing interfaces, which encompass a range of phenomena from tumour growth to forest fires.Read moreRead less