Representation theory of diagram algebras and logarithmic conformal field theory. Generalized models of polymers and percolation are notoriously difficult to handle mathematically, but can be described and solved using diagram algebras and logarithmic conformal field theory. Potential applications include polymer-like materials, filtering of drinking water, spatial spread of epidemics and bushfires, and tertiary recovery of oil.
ARC Complex Open Systems Research Network. Complexity is the common frontier in the physical, biological and social sciences. This Network will link specialists in all three sciences through five generic conceptual and mathematical theme activities. It will promote research into how subsystems self-organise into new emergent structures when assembled into an open, non-equilibrium system. Outcomes will include new technologies and software tools and deeper understanding of fundamental questions i ....ARC Complex Open Systems Research Network. Complexity is the common frontier in the physical, biological and social sciences. This Network will link specialists in all three sciences through five generic conceptual and mathematical theme activities. It will promote research into how subsystems self-organise into new emergent structures when assembled into an open, non-equilibrium system. Outcomes will include new technologies and software tools and deeper understanding of fundamental questions in science. An essential function of the network will be introducing researchers end users to new tools and broadening the horizons of graduate students.Read moreRead less
Quantum correlations in ultra-cold Fermi gases. The field of ultra-cold Fermi gases provides a unique opportunity to develop and test theoretical methods for novel experimental environments of exceptional purity and simplicity. This improved understanding will have potential applications in many fields, ranging from the astrophysics of neutron stars to condensed matter systems such as superconductors or nanostructures. Just as importantly, the project will develop linkages with world leading the ....Quantum correlations in ultra-cold Fermi gases. The field of ultra-cold Fermi gases provides a unique opportunity to develop and test theoretical methods for novel experimental environments of exceptional purity and simplicity. This improved understanding will have potential applications in many fields, ranging from the astrophysics of neutron stars to condensed matter systems such as superconductors or nanostructures. Just as importantly, the project will develop linkages with world leading theoretical groups, which will greatly aid research student education. There are direct applications to experiments on molecule formation with ultra-cold fermions in the ARC Centre of Excellence for Quantum-Atom Optics.Read moreRead less
Special Research Initiatives - Grant ID: SR0354741
Funder
Australian Research Council
Funding Amount
$10,000.00
Summary
Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies. This Initiative will bring together leading researchers with complementary expertise in mathematics and the enabling sciences to form a Network fostering world leading fundamental research and innovation in quantum many-body systems. The collaborative effort between mathematicians with powerful and sophisticated new techniques and physicists and chemists with deep insight into the challenges and opportunities of t ....Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies. This Initiative will bring together leading researchers with complementary expertise in mathematics and the enabling sciences to form a Network fostering world leading fundamental research and innovation in quantum many-body systems. The collaborative effort between mathematicians with powerful and sophisticated new techniques and physicists and chemists with deep insight into the challenges and opportunities of the quantum realm will lead to breakthrough science of vital importance to the development of frontier technologies in Australia. This Network will also place a strong emphasis on research training, the mentoring of early career researchers and establishing collaborations with leading international research groups and networks.
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Cosmological vacuum stability as a window on fundamental physics. Vacuum is not just the absence of matter: it is the lowest-energy state of our Universe. This project aims to investigate the existence of new particles via their impacts upon the vacuum of the Universe. It expects to develop methods required to extract information on the existence of new particles from the vacuum, using transitions between different vacua, resulting gravitational waves, and results from a broad range of other co ....Cosmological vacuum stability as a window on fundamental physics. Vacuum is not just the absence of matter: it is the lowest-energy state of our Universe. This project aims to investigate the existence of new particles via their impacts upon the vacuum of the Universe. It expects to develop methods required to extract information on the existence of new particles from the vacuum, using transitions between different vacua, resulting gravitational waves, and results from a broad range of other complementary experiments. Expected outcomes include comprehensive tests of four of the most compelling theoretical frameworks for new particles. Significant expected benefits include advanced training for Australian students in numerical methods, software development, statistical analysis and research computing.Read moreRead less
Decoherence in quantum computing and quantum electromechanical systems. Australia is one of the world leaders in fundamental studies and implementation of quantum computing and quantum electromechanical systems. By developing a framework to quantify and control noise due to decoherence in such systems, this research will facilitate progress in the development and understanding of quantum computing and quantum electromechanical devices. The project will also significantly strengthen the general r ....Decoherence in quantum computing and quantum electromechanical systems. Australia is one of the world leaders in fundamental studies and implementation of quantum computing and quantum electromechanical systems. By developing a framework to quantify and control noise due to decoherence in such systems, this research will facilitate progress in the development and understanding of quantum computing and quantum electromechanical devices. The project will also significantly strengthen the general representation of research on decoherence, a field of crucial importance to many areas of theoretical and experimental physics, in Australia. Funding of this project will enable Australia to further expand its leading position in cutting-edge science and next-generation technology.
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Centre for Quantum Computer Technology. Development of a quantum computer (QC) for massively parallel computing is one of the major challenges in science and engineering this century. Since 2000 the Centre has achieved two major breakthroughs in this field: constructing the key functional element of a silicon solid-state QC; and co-inventing a scheme for efficient linear optics QC. The proposed CoE aims to align these two nationally co-ordinated research programs with the world's existing comput ....Centre for Quantum Computer Technology. Development of a quantum computer (QC) for massively parallel computing is one of the major challenges in science and engineering this century. Since 2000 the Centre has achieved two major breakthroughs in this field: constructing the key functional element of a silicon solid-state QC; and co-inventing a scheme for efficient linear optics QC. The proposed CoE aims to align these two nationally co-ordinated research programs with the world's existing computer and IT industries to realise a fault-tolerant multiple qubit quantum processor with integrated control and qubit chips, and develop a scaleable optical quantum processor providing significant economic benefit to Australia.Read moreRead less
Dynamics and correlations of many-body systems. The proposed program will greatly enhance Australian science through linking innovative
theoretical techniques with the successful ongoing Australian experimental program in atom
lasers, atom chip interferometry and ultra-cold fermions. Pioneering theoretical methods in
quantum phase-space are internationally recognized, and will be extended into new areas relevant
to Australia. These have fundamental significance to fields ranging from nanotec ....Dynamics and correlations of many-body systems. The proposed program will greatly enhance Australian science through linking innovative
theoretical techniques with the successful ongoing Australian experimental program in atom
lasers, atom chip interferometry and ultra-cold fermions. Pioneering theoretical methods in
quantum phase-space are internationally recognized, and will be extended into new areas relevant
to Australia. These have fundamental significance to fields ranging from nanotechnology to
astrophysics, as well as providing a route to improved atomic clocks and other instruments.
Combining these theoretical and computational methods from the physical sciences with biology
and genetics will provide future cross-disciplinary benefits to Australian biomedical science.Read moreRead less
ARC Centre of Excellence for the Mathematical Analysis of Cellular Systems. ARC Centre of Excellence for the Mathematical Analysis of Cellular Systems. The ARC Centre for the Mathematical Analysis of Cellular Systems aims to deliver the mathematics required to compute life. The Centre will deliver innovation in computational and mathematical biology and establish in silico biology alongside in vivo and in vitro biology. These models will allow us to understand the complexity of life at the cellu ....ARC Centre of Excellence for the Mathematical Analysis of Cellular Systems. ARC Centre of Excellence for the Mathematical Analysis of Cellular Systems. The ARC Centre for the Mathematical Analysis of Cellular Systems aims to deliver the mathematics required to compute life. The Centre will deliver innovation in computational and mathematical biology and establish in silico biology alongside in vivo and in vitro biology. These models will allow us to understand the complexity of life at the cellular level and enable new ways of combining diverse and heterogenous data. This will allow us to understand the mechanisms underlying cellular behaviour, and to apply rational design engineering methods in order to control the dynamics of biological systems. Read moreRead less
Centre for Mathematical and Statistical Modelling of Complex Systems. This Centre, formed by a group of high-profile researchers, brings expertise from linked but hitherto disparate areas together. It will place Australia at the forefront of research into complex systems.
The mission of the Centre is to stimulate research in mathematical and statistical modelling of complex systems and to encourage cross-fertilisation of ideas and techniques. The specific objectives are
- to formulate and ana ....Centre for Mathematical and Statistical Modelling of Complex Systems. This Centre, formed by a group of high-profile researchers, brings expertise from linked but hitherto disparate areas together. It will place Australia at the forefront of research into complex systems.
The mission of the Centre is to stimulate research in mathematical and statistical modelling of complex systems and to encourage cross-fertilisation of ideas and techniques. The specific objectives are
- to formulate and analyse mathematical and statistical models for natural and artificial complex systems,
- to use these models to develop an understanding of the behaviour of these systems
- to incorporate this understanding into strategies for management and control.Read moreRead less