Linear Dynamical Quantum Networks: Synthesis and Control. Australia is recognized as a leader in the international race to develop quantum technologies of the future. This project will strengthen Australia's profile in quantum technology engineering by developing a new theory for building arbitrary complex linear quantum mechanical control systems for control tasks in quantum technology, and presenting new control system design tools to support high performance quantum communication systems. The ....Linear Dynamical Quantum Networks: Synthesis and Control. Australia is recognized as a leader in the international race to develop quantum technologies of the future. This project will strengthen Australia's profile in quantum technology engineering by developing a new theory for building arbitrary complex linear quantum mechanical control systems for control tasks in quantum technology, and presenting new control system design tools to support high performance quantum communication systems. The project outcomes together with advances in experimental physics are anticipated to play an important role in the long term as enablers of viable quantum technologies that can provide new commercial opportunities for Australian hi-tech industries to benefit Australia's economy in the future.Read moreRead less
Quantum Networks: Dynamics, Design and Control. The outcomes of this project have the potential to enhance the ability of researchers in Australia to invent significant new quantum technologies. The outcomes will provide researchers with new ways to consider architecture design for quantum technologies, new concepts and tools to help them model devices and systems, to interconnect them, to control them, to build them, and to understand how they behave. This will help place Australia in a leadi ....Quantum Networks: Dynamics, Design and Control. The outcomes of this project have the potential to enhance the ability of researchers in Australia to invent significant new quantum technologies. The outcomes will provide researchers with new ways to consider architecture design for quantum technologies, new concepts and tools to help them model devices and systems, to interconnect them, to control them, to build them, and to understand how they behave. This will help place Australia in a leading position internationally to engineer new quantum technologies.Read moreRead less
New quantum and robust control theory with applications to quantum optics. The application of quantum mechanics to the creation of quantum technology promises to be one of the most exciting technological developments of this century. Possible applications of quantum technologies include vastly improved sensors to search for minerals or gravity waves, secure quantum cryptography, and quantum computing. Quantum feedback control is a key tool in quantum technology. This project will lay the fou ....New quantum and robust control theory with applications to quantum optics. The application of quantum mechanics to the creation of quantum technology promises to be one of the most exciting technological developments of this century. Possible applications of quantum technologies include vastly improved sensors to search for minerals or gravity waves, secure quantum cryptography, and quantum computing. Quantum feedback control is a key tool in quantum technology. This project will lay the foundations of systematic theories of robust, coherent and nonlinear quantum feedback control and lead to advances in the control of highly resonant systems which underlie experimental quantum and nano technology. This will enable Australia to reap great benefits as this new technological area emerges.Read moreRead less
Quantum many-body systems with higher mathematical symmetries. Ongoing developments in the experimental realisation of ultracold quantum systems play a leading role in the international effort towards the eventual realisation of quantum technology. This project brings together Australian and US researchers with complementary strengths to develop the mathematical study of fundamental systems of interacting quantum particles of relevance to experiments. The project will ensure that Australian rese ....Quantum many-body systems with higher mathematical symmetries. Ongoing developments in the experimental realisation of ultracold quantum systems play a leading role in the international effort towards the eventual realisation of quantum technology. This project brings together Australian and US researchers with complementary strengths to develop the mathematical study of fundamental systems of interacting quantum particles of relevance to experiments. The project will ensure that Australian researchers participate in and benefit from international developments in a leading edge area of fundamental research. It will also contribute to training students in rapidly advancing areas with the capacity to contribute to a wide range of problems, including the emerging technology of quantum devices.Read moreRead less
The mathematical analysis of ultracold quantum gases. Ongoing developments in the experimental realisation of ultracold quantum
gases play a leading role in the international effort towards the
eventual realisation of quantum technology. This project brings together Australian
researchers with complementary strengths to develop a sophisticated range of innovative
mathematical tools for understanding these fundamental quantum systems. The expected
outcomes will thus include potentially far r ....The mathematical analysis of ultracold quantum gases. Ongoing developments in the experimental realisation of ultracold quantum
gases play a leading role in the international effort towards the
eventual realisation of quantum technology. This project brings together Australian
researchers with complementary strengths to develop a sophisticated range of innovative
mathematical tools for understanding these fundamental quantum systems. The expected
outcomes will thus include potentially far reaching impacts on downstream quantum technology.
The project will contribute to training mathematically talented students and thus take essential
steps to establish the long term future of mathematical physics in Australia. It will also establish enduring key international research links.Read moreRead less
Gravitational wave detection through millisecond pulsar timing. This project aims to detect gravitational waves (GWs) using precision pulsar timing observations. Direct detection of GWs is of huge international importance and would place Australia at the forefront of the new research field of GW astronomy. The project provides a link between current GW detection experiments and the GW astronomy that will become commonplace with future telescopes such as the Square Kilometre Array (SKA). It wil ....Gravitational wave detection through millisecond pulsar timing. This project aims to detect gravitational waves (GWs) using precision pulsar timing observations. Direct detection of GWs is of huge international importance and would place Australia at the forefront of the new research field of GW astronomy. The project provides a link between current GW detection experiments and the GW astronomy that will become commonplace with future telescopes such as the Square Kilometre Array (SKA). It will answer important questions in relativistic astrophysics, cosmology and planetary astronomy. The groundwork for SKA science proposed here will demonstrate Australian commitment to the SKA. Read moreRead less
Low-order dynamical models for non-linear fluid behaviour in quasi two-dimensional plasmas. Two complex systems in which a magnetic field imposes two-dimensional fluid motions are turbulent fusion plasmas and magnetospheric plasmas. A distinctive property of 2D flows is the inverse energy cascade, whereby energy streaming into large-scale vortices, coherent structures, or sheared flows gives a remarkable propensity for self-organizing behaviour. This can be exploited to govern or guide our respo ....Low-order dynamical models for non-linear fluid behaviour in quasi two-dimensional plasmas. Two complex systems in which a magnetic field imposes two-dimensional fluid motions are turbulent fusion plasmas and magnetospheric plasmas. A distinctive property of 2D flows is the inverse energy cascade, whereby energy streaming into large-scale vortices, coherent structures, or sheared flows gives a remarkable propensity for self-organizing behaviour. This can be exploited to govern or guide our response to such systems. We propose to investigate the dynamics of momentum and energy exchange in these plasmas, using reduced dynamical models and bifurcation and stability mathematics. Expected outcomes are improved prediction of magnetospheric substorms and confinement of fusion plasmas.
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Energy, Cosmic Censorship and Black Hole Stability. Human progress is achieved by confronting fundamental questions, at the leading edge of knowledge. This project will lead to better understanding of space-time physics, and of the properties of singular solutions of non-linear hyperbolic equations. Such equations govern a wide range of physical phenomena, including fluid flow, weather and electromagnetic fields.
New frontiers in statistical mechanics. The chiral Potts model has been introduced in 1981 as a model for commensurate-incommensurate phase transitions in a layer of atoms or molecules adsorbed to a solid surface. If the adsorbed atoms all fit to holes between the surface atoms, the added layer is frozen, commensurate with the surface. If the added atoms are unable to fit holes, the added layer is no longer commensurate with the surface and could be in a floating state. A deeper understanding of ....New frontiers in statistical mechanics. The chiral Potts model has been introduced in 1981 as a model for commensurate-incommensurate phase transitions in a layer of atoms or molecules adsorbed to a solid surface. If the adsorbed atoms all fit to holes between the surface atoms, the added layer is frozen, commensurate with the surface. If the added atoms are unable to fit holes, the added layer is no longer commensurate with the surface and could be in a floating state. A deeper understanding of this and similar phenomena in layered systems has nanotechnological implications. This may affect the design of new small electronic devices or could apply to small biological systems and the development of new medicines. The project will surely lead to new applicable mathematics.Read moreRead less
Stability conditions on triangulated categories and related aspects of homological mirror symmetry. The proposed research studies one of the deepest questions in nature through superstring theory and mathematics with leading experts around the world. So, the proposed project maintains the Australia's profile in science. Also, the proposed project fits within the the Research Priority: Frontier Technologies for Building and Transforming Australian Industries. We will have exciting mathematical di ....Stability conditions on triangulated categories and related aspects of homological mirror symmetry. The proposed research studies one of the deepest questions in nature through superstring theory and mathematics with leading experts around the world. So, the proposed project maintains the Australia's profile in science. Also, the proposed project fits within the the Research Priority: Frontier Technologies for Building and Transforming Australian Industries. We will have exciting mathematical discussions which stimulate Australian students. They will be able to take advantage of such experience, especially when they need innovation. Thus, it is an investment for future of Australian industries.Read moreRead less