Studies of turbulence and coherent structures in quasi two-dimensional plasmas and fluids. One of the most celebrated but least understood complex systems in nature is turbulent flow. This cross-disciplinary project aims to contribute to basic scientific knowledge of a class of turbulent flows, known as quasi two-dimensional fluids, that typically exhibit self-organizing properties, stable sheared flow, and relatively weak dissipation. The significance lies in the proposed testing, by modelling ....Studies of turbulence and coherent structures in quasi two-dimensional plasmas and fluids. One of the most celebrated but least understood complex systems in nature is turbulent flow. This cross-disciplinary project aims to contribute to basic scientific knowledge of a class of turbulent flows, known as quasi two-dimensional fluids, that typically exhibit self-organizing properties, stable sheared flow, and relatively weak dissipation. The significance lies in the proposed testing, by modelling and simulation studies, of the well-grounded hypothesis that suppression of turbulence by sheared flow is a universal phenomenon in such fluids, and that it can be exploited to control transport of fluid constituents. Applications of this new knowledge will be developed.Read moreRead less
Topologically nontrivial electromagnetic states. Topological properties play a fundamental role in many physical phenomena. The best known examples are quantum Hall systems, where insensitivity to local properties manifests itself as conductance through edge states that is insensitive to disorder. While the traditional research focus has been on electronic systems, there has been a recent emergence of great interest in exploring topological orders with photons. Several novel intriguing theoretic ....Topologically nontrivial electromagnetic states. Topological properties play a fundamental role in many physical phenomena. The best known examples are quantum Hall systems, where insensitivity to local properties manifests itself as conductance through edge states that is insensitive to disorder. While the traditional research focus has been on electronic systems, there has been a recent emergence of great interest in exploring topological orders with photons. Several novel intriguing theoretical schemes have been proposed to explore topological orders in photonic systems, both in the linear and strongly interacting regimes. This project aims to develop innovative theoretical and experimental approaches to explore topologically non-trivial states, from microwaves to optical regimes.Read moreRead less
Slow light in nanostructured materials. This project will introduce and demonstrate novel concepts for dynamically controlling the speed of light and manipulating optical pulses in specially designed nanoscale structures, making an essential step towards the creation of all-optical devices performing fast switching and processing of optical signals. These developments underpin the next generation of high-performance networks, promising to revolutionize global communications. This project will ke ....Slow light in nanostructured materials. This project will introduce and demonstrate novel concepts for dynamically controlling the speed of light and manipulating optical pulses in specially designed nanoscale structures, making an essential step towards the creation of all-optical devices performing fast switching and processing of optical signals. These developments underpin the next generation of high-performance networks, promising to revolutionize global communications. This project will keep Australia at the forefront of international research and provide training of students on breakthrough applications of photonics and nanotechnology, contributing to the uptake of frontier technologies by Australian industries for successful operation in a competitive global environment.Read moreRead less
Bifurcations of dissipative solitons. Fundamental research on the basic concepts of solitons in dissipative systems and their bifurcations is the next essential step for further progress in the science of optical pulse generators and amplifiers. Australia was the first country in the world to use self-organized ultra-short pulses, called solitons, in a commercially-deployed optical transmission line. This proposed new research will answer the question of how solitons behave at the ultimate limi ....Bifurcations of dissipative solitons. Fundamental research on the basic concepts of solitons in dissipative systems and their bifurcations is the next essential step for further progress in the science of optical pulse generators and amplifiers. Australia was the first country in the world to use self-organized ultra-short pulses, called solitons, in a commercially-deployed optical transmission line. This proposed new research will answer the question of how solitons behave at the ultimate limits of optics. New principles of ultra-short pulse generation and amplification, developed in our research, will provide the basis for an unprecedented increase in the capacity of optical transmission and processing of information.Read moreRead less
Dissipative soliton resonances and their applications. Many branches of science and technology, such as precise eye surgery, biological cell machinery, painless dentistry, optical data storage, material micro-machining and laser fusion, rely heavily on high power femtosecond pulse laser oscillators that deliver the necessary power, in a very short time, to nanometer scale targets within a tissue or a material. A further increase in the power of a pulse and a decrease in its duration, combined wi ....Dissipative soliton resonances and their applications. Many branches of science and technology, such as precise eye surgery, biological cell machinery, painless dentistry, optical data storage, material micro-machining and laser fusion, rely heavily on high power femtosecond pulse laser oscillators that deliver the necessary power, in a very short time, to nanometer scale targets within a tissue or a material. A further increase in the power of a pulse and a decrease in its duration, combined with a reduction in complexity and price can be achieved, but this advance depends strongly on the theory of dissipative solitons, and particularly on the idea of soliton resonances. Novel ideas developed within this project will put new productive tools in the hands of doctors, biologists and physicists.Read moreRead less
Mathematical structure of the quantum Rabi model. This project aims to find the mathematical structure behind the quantum Rabi model, the simplest model describing the interaction between quantum light and matter. The Rabi model is the connecting link in the essential interplay between mathematics, physics, and technological applications. Solving the mathematical structure behind it is expected to form the basis for solving related and equally important models. Such models describe a qubit, the ....Mathematical structure of the quantum Rabi model. This project aims to find the mathematical structure behind the quantum Rabi model, the simplest model describing the interaction between quantum light and matter. The Rabi model is the connecting link in the essential interplay between mathematics, physics, and technological applications. Solving the mathematical structure behind it is expected to form the basis for solving related and equally important models. Such models describe a qubit, the building block of quantum information technologies, and so could realise quantum algorithms and quantum computations.Read moreRead less
Canonical quantisation for classical integrable equations. This project is in the area of fundamental, enabling science. Integrable systems, both classical and quantum, arise as certain classes of dynamical universality in various problems of pure and applied mathematics and in physics. The project will significantly deepen our understanding of cross-relations between geometry and integrable systems.
Renewable energy generation from flow-induced vibration. Much engineering effort has been expended to eliminate vibration of marine structures. This project seeks to provide the basis for the development of tidal energy harnessing, by deliberately amplifying and harnessing vibration. This technology offers the promise of capturing clean, zero-emissions energy, while presenting no risk to marine life.
Algebraic and computational approaches for classical and quantum systems. This project aims to use a combination of algebraic, analytic and numerical techniques to develop computational algorithms to address a range of notoriously challenging problems in the mathematical sciences. These problems involve predicting the large-scale behaviour of strongly interacting classical and quantum spin systems originating in condensed matter physics, including models of relevance to proposals for topological ....Algebraic and computational approaches for classical and quantum systems. This project aims to use a combination of algebraic, analytic and numerical techniques to develop computational algorithms to address a range of notoriously challenging problems in the mathematical sciences. These problems involve predicting the large-scale behaviour of strongly interacting classical and quantum spin systems originating in condensed matter physics, including models of relevance to proposals for topological quantum computation and the latest progress using field theory. The project outcomes will involve advances in understanding these systems from new exact results and high precision numerical estimates.Read moreRead less
Enhanced interaction of electromagnetics and mechanics in structured media. This project will investigate the interaction between electromagnetic waves and mechanical motion in structured media. Enhancing this interaction will improve a number of modern technologies, such as nano-scaled motors, traps for biological samples and optical wrenches. Modern fabrication techniques will link the electromagnetic and mechanical properties of media, so that the electromagnetic forces will greatly increase, ....Enhanced interaction of electromagnetics and mechanics in structured media. This project will investigate the interaction between electromagnetic waves and mechanical motion in structured media. Enhancing this interaction will improve a number of modern technologies, such as nano-scaled motors, traps for biological samples and optical wrenches. Modern fabrication techniques will link the electromagnetic and mechanical properties of media, so that the electromagnetic forces will greatly increase, making such devices able to manipulate larger objects. Structured materials can also change their properties dynamically, enabling material properties to be altered in real time. This mechanism will form the basis of advanced tunable components to control waves at visible, infrared, terahertz and microwave wavelengths.Read moreRead less