Developing and exploiting a beam of exotic neutron halo nuclei: probing quantum coherence and decoherence at the femtoscale. Developing an Australian rare isotope beam capability with unique features will be a breakthrough in Australia's capability in science. It will create new opportunities for local research with radioactive isotope beams, a field being vigorously developed world-wide, as new access to short-lived radioactive isotopes will open up many opportunities in fundamental research an ....Developing and exploiting a beam of exotic neutron halo nuclei: probing quantum coherence and decoherence at the femtoscale. Developing an Australian rare isotope beam capability with unique features will be a breakthrough in Australia's capability in science. It will create new opportunities for local research with radioactive isotope beams, a field being vigorously developed world-wide, as new access to short-lived radioactive isotopes will open up many opportunities in fundamental research and applications. The experience and strong international linkages from this project will facilitate the longer-term use of future large-scale international facilities. This project will also build links with other areas of research strength in Australia, and keep us at the cutting-edge in research and training in nuclear science, a matter of national importance.Read moreRead less
The New Atom Laser: Theory of Quantum Atom Optical Sources. The atom laser is a new device which produces a coherent source of ultracold atoms. A practical atom laser will be a revolutionary source for atom optics. This project will develop a comprehensive and practical quantum theory of a new generation of atom lasers which can produce a continuous beam. This will require a different and more complicated theoretical approach to that which worked for optical lasers, but the result will be a d ....The New Atom Laser: Theory of Quantum Atom Optical Sources. The atom laser is a new device which produces a coherent source of ultracold atoms. A practical atom laser will be a revolutionary source for atom optics. This project will develop a comprehensive and practical quantum theory of a new generation of atom lasers which can produce a continuous beam. This will require a different and more complicated theoretical approach to that which worked for optical lasers, but the result will be a device with a spectral flux which is orders of magnitude better than the current state of the art.Read moreRead less
The mathematics and physics of interacting systems. Much of the world around us involves the networked interaction between a large number of components. For example, such complex networks may be physical, biological, social or technical in nature and represent connections between magnetic spins, species, people or computers. This Project will provide a firm theoretical foundation for such complex interacting systems through an investigation of the fascinating mathematics and physics behind them. ....The mathematics and physics of interacting systems. Much of the world around us involves the networked interaction between a large number of components. For example, such complex networks may be physical, biological, social or technical in nature and represent connections between magnetic spins, species, people or computers. This Project will provide a firm theoretical foundation for such complex interacting systems through an investigation of the fascinating mathematics and physics behind them. This perspective from mathematical physics, in particular using the tools of statistical mechanics, will lead to a better understanding of many real-world complex systems.Read moreRead less
Solvable models on regular and random lattices in statistical mechanics and field theory. There are only a few solvable models in statistical mechanics and field theory, but those that are known give deep insights into the cooperative behaviour that characterizes a critical point, as well as
leading to fascinating mathematics. The two chief investigators have been at the forefront of this field for many years. Currently there are many notable exciting challenges they wish to address:
the re ....Solvable models on regular and random lattices in statistical mechanics and field theory. There are only a few solvable models in statistical mechanics and field theory, but those that are known give deep insights into the cooperative behaviour that characterizes a critical point, as well as
leading to fascinating mathematics. The two chief investigators have been at the forefront of this field for many years. Currently there are many notable exciting challenges they wish to address:
the relationship between Tutte's work on dichromatic polynomials and matrix models, the outstanding problem of calculating the order parameters of the chiral Potts model, and the eigenvalue spectra of the transfer matrices that occur in integrable models.
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Nonlinear photonic crystals. Photonic crystals have recently became very attractive for photonic technology, that uses light instead of slow electrons as the information carriers replacing electronics in communications and information management. This project has the purpose to develop the fundamental concept of nonlinear photonic crystals and demonstrate their possible applications analysing the properties of the nonlinearity-induced light localization, nonlinear transmission, and frequency co ....Nonlinear photonic crystals. Photonic crystals have recently became very attractive for photonic technology, that uses light instead of slow electrons as the information carriers replacing electronics in communications and information management. This project has the purpose to develop the fundamental concept of nonlinear photonic crystals and demonstrate their possible applications analysing the properties of the nonlinearity-induced light localization, nonlinear transmission, and frequency conversion in band-gap materials with the intensity-dependent optical response. This will allow the possibility realising in practice nonlinear switching even for sharply bent waveguides, providing an effective way to control the flow of light in band-gap photonic circuits.Read moreRead less
Modular Index Theory. This project capitilises on Australian advances in mathematics, particularly noncommutative geometry. It will maintain and extend Australia's prominence in this subject, providing excellent opportunities for young researchers via the research networks this project will establish. Being at the interface of ideas in mathematics and physics, there is potential for future technological spin offs for Australia.
Algebraic Structures in Mathematical Physics and Their Applications. Algebraic structures such as affine (super)algebras, quantised algebras and vertex operator algebras are among the most important discoveries in mathematics. They provide a universal common algebraic framework underlying applications in a wide range of physics (eg. statistical mechanics, string theory, condensed matter physics etc.) leading to a high level of research activity worldwide. The project harnessess the high level ....Algebraic Structures in Mathematical Physics and Their Applications. Algebraic structures such as affine (super)algebras, quantised algebras and vertex operator algebras are among the most important discoveries in mathematics. They provide a universal common algebraic framework underlying applications in a wide range of physics (eg. statistical mechanics, string theory, condensed matter physics etc.) leading to a high level of research activity worldwide. The project harnessess the high level of expertise in mathematical physics across Australia to focus on exciting new developments in the theory of these algebraic structures and their application to physics, thus ensuring Australia plays a leading role in this rapidly expanding field.Read moreRead less
Practical and theoretical aspects of structure enumeration. Many areas of study involve processing of large numbers of
objects in some class. These are countless examples in
chemistry, physics, mathematics, and other disciplines.
Structure Enumeration is the study of methods for efficient
generation and analysis of such objects. The project will
involve exploitation and extension of recent advances, many
due to the CI, which have added orders of magnitude to what
was possible only a few ....Practical and theoretical aspects of structure enumeration. Many areas of study involve processing of large numbers of
objects in some class. These are countless examples in
chemistry, physics, mathematics, and other disciplines.
Structure Enumeration is the study of methods for efficient
generation and analysis of such objects. The project will
involve exploitation and extension of recent advances, many
due to the CI, which have added orders of magnitude to what
was possible only a few years ago. The outcome will be a
combination of theoretical results and practical achievements,
whose usefulness will be demonstrated with some serious
applications in physics and mathematics.
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Quantum Simulations with Dilute Gas Bose Einstein Condensates. Fundamental scientific research, such as we propose, is an important contributor to the long term wealth and well being of the Nation. It shapes our culture, our ways of thinking, and our beliefs. It also contributes directly, and in the shorter term, through the technology development that accompanies scientific research at the frontiers of knowledge. The students participating in this research will develop skills in innovation, int ....Quantum Simulations with Dilute Gas Bose Einstein Condensates. Fundamental scientific research, such as we propose, is an important contributor to the long term wealth and well being of the Nation. It shapes our culture, our ways of thinking, and our beliefs. It also contributes directly, and in the shorter term, through the technology development that accompanies scientific research at the frontiers of knowledge. The students participating in this research will develop skills in innovation, intellectual property management, and commercialisation - all of which are critical to the Nation's future.Read moreRead less
Multiple ionization of atoms and molecules in strong laser fields. Our research contributes to multidisciplinary efforts to unravel the
fundamental mechanisms that govern interaction of intense laser
radiation with matter. Understanding and accurate numerical modelling
of such preocesses have far-reaching implications for astrophysics,
plasma physics and controlled fusion, life and materials sciences. The
research project will further enhance our reputation in an area where
Australian the ....Multiple ionization of atoms and molecules in strong laser fields. Our research contributes to multidisciplinary efforts to unravel the
fundamental mechanisms that govern interaction of intense laser
radiation with matter. Understanding and accurate numerical modelling
of such preocesses have far-reaching implications for astrophysics,
plasma physics and controlled fusion, life and materials sciences. The
research project will further enhance our reputation in an area where
Australian theorists are preeminent, and the research training will
produce PhD graduates with a high-level ability in numerical modelling
using supercomputers. Such skills are essential in many defense,
information and nano-technology applications of national priority.
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