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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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
Shuffle algebras and vertex models. Shuffle algebras are important new mathematical structures that offer a new approaches and techniques to solve outstanding open problems in a variety of branches of mathematics, including mathematical physics, algebraic geometry and combinatorics. This project proposes to find solutions to key open problems using connections between shuffle algebras and integrable lattice models. The expected outcomes include (i) a new framework of shuffle algebra techniques t ....Shuffle algebras and vertex models. Shuffle algebras are important new mathematical structures that offer a new approaches and techniques to solve outstanding open problems in a variety of branches of mathematics, including mathematical physics, algebraic geometry and combinatorics. This project proposes to find solutions to key open problems using connections between shuffle algebras and integrable lattice models. The expected outcomes include (i) a new framework of shuffle algebra techniques to solve challenging research problems in mathematical physics and statistical mechanics, (ii) practical and computationally feasible constructions of shuffle algebras using vertex models, (iii) solutions to unresolved spectral problems of open quantum systems.Read moreRead less
Matrix product multi-variable polynomials from quantum algebras. This project aims to expand the theory of polynomials and develop generalised polynomial families using connections to affine and toroidal algebras. Many combinatorial and computational problems in pure and applied mathematics as well as mathematical physics can be solved using polynomials in many variables, such as Macdonald polynomials. This project is anticipated to address the current difficulty of implementing symmetric and no ....Matrix product multi-variable polynomials from quantum algebras. This project aims to expand the theory of polynomials and develop generalised polynomial families using connections to affine and toroidal algebras. Many combinatorial and computational problems in pure and applied mathematics as well as mathematical physics can be solved using polynomials in many variables, such as Macdonald polynomials. This project is anticipated to address the current difficulty of implementing symmetric and non-symmetric polynomials in symbolic algebra packages by developing completely new algorithms. New understanding from the project is expected to facilitate challenging computational problems of measurable quantities in quantum systems.Read moreRead less
When quantum is not desirable: quantum noise vs. quantum technologies. One of the key remaining obstacles to the successful deployment of quantum computers & sensors in science, industry, and society is the existence of noise sources that are themselves quantum, and thus have an unmatched potential for disruption. This project will attack this problem by providing (i) a detailed understanding of the impact of quantum noise sources, and developing protocols to (ii) characterize and (iii) overcome ....When quantum is not desirable: quantum noise vs. quantum technologies. One of the key remaining obstacles to the successful deployment of quantum computers & sensors in science, industry, and society is the existence of noise sources that are themselves quantum, and thus have an unmatched potential for disruption. This project will attack this problem by providing (i) a detailed understanding of the impact of quantum noise sources, and developing protocols to (ii) characterize and (iii) overcome the negative effects such realistic noise entails. In taking this necessary step for the implementation of these breakthrough technologies, it will not only significantly advance knowledge but will have a direct impact in the development of a technology in which Australia and other leading nations are heavily invested.Read moreRead less
Billiards within confocal quadrics and beyond. This project aims to analyse mathematical billiards within domains bounded by confocal conics. Mathematical billiards have applications in any situation that involves collisions and reflections, and any phenomenon that includes reflections and collisions can be modelled using mathematical billiards. This project aims to revolutionise the analysis of billiards within domains bounded by several confocal conics by exploring the relations of such billia ....Billiards within confocal quadrics and beyond. This project aims to analyse mathematical billiards within domains bounded by confocal conics. Mathematical billiards have applications in any situation that involves collisions and reflections, and any phenomenon that includes reflections and collisions can be modelled using mathematical billiards. This project aims to revolutionise the analysis of billiards within domains bounded by several confocal conics by exploring the relations of such billiards with polygonal billiards, and making research advances with the higher-dimensional generalisations within confocal quadrics and their relations with billiards within polyhedra. The project will link several significant areas of scientific work including polygonal billiards, classical integrable systems, Teichmuller spaces, and relativity theory. The project outcomes will have impact across areas of mathematics such as geometry, algebraic geometry, and dynamical systems.Read moreRead less