Free parafermions: a challenge for non-Hermitian physics. This project aims to calculate and understand the physical properties of free parafermions. Parafermions have attracted interest in topological schemes for quantum computation because they are computationally more powerful than Majorana fermions. The core of this project is a fundamental model of free parafermions, which has been shown to exhibit unexplained puzzling properties. The project outcomes include an in-depth understanding of th ....Free parafermions: a challenge for non-Hermitian physics. This project aims to calculate and understand the physical properties of free parafermions. Parafermions have attracted interest in topological schemes for quantum computation because they are computationally more powerful than Majorana fermions. The core of this project is a fundamental model of free parafermions, which has been shown to exhibit unexplained puzzling properties. The project outcomes include an in-depth understanding of this model by taking the non-Hermitian features into account, establishing a connection with open quantum systems. Non-Hermitian systems are also of increasing relevance in physics, especially in quantum optics. The project also aims to contribute to training researchers in the mathematical sciences.
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The Ricci curvature of homogeneous spaces. The geometry of homogeneous spaces is an area of research with applications in numerous fields, including topology, harmonic analysis, relativity and quantum theory. This project aims to resolve a fundamental problem in this area, known as the prescribed Ricci curvature problem for homogeneous metrics, and to settle the important and closely related question of Ricci iteration existence and convergence. Moreover, the project aims to exploit the interpla ....The Ricci curvature of homogeneous spaces. The geometry of homogeneous spaces is an area of research with applications in numerous fields, including topology, harmonic analysis, relativity and quantum theory. This project aims to resolve a fundamental problem in this area, known as the prescribed Ricci curvature problem for homogeneous metrics, and to settle the important and closely related question of Ricci iteration existence and convergence. Moreover, the project aims to exploit the interplay between geometry and algebra to provide new insight into the physically significant problem of classifying unitary Lie algebra representations. This project is expected to facilitate interdisciplinary interaction leading to exciting developments across a range of fields.Read moreRead less
New approaches and applications of integrable quantum field theory. This project aims to develop new mathematical approaches to the theory of integrable systems to obtain exact solutions of various non-linear models of two-dimensional quantum field theory. The project is based on an unexpected correspondence between classical and quantum systems which provides a powerful method for describing physically interesting models of integrable quantum field theory. Expected outcomes include exact soluti ....New approaches and applications of integrable quantum field theory. This project aims to develop new mathematical approaches to the theory of integrable systems to obtain exact solutions of various non-linear models of two-dimensional quantum field theory. The project is based on an unexpected correspondence between classical and quantum systems which provides a powerful method for describing physically interesting models of integrable quantum field theory. Expected outcomes include exact solutions to non-linear sigma-models which have important applications in many areas, including condensed matter physics, string and field theories and Riemannian geometry. The project expects to provide significant benefit to the advancement of knowledge in physics and mathematics.Read moreRead less
Topological insulators and free fermions: from Hermitian to non-Hermitian. This project aims to develop and fully understand a class of mathematical models describing fundamental interacting systems of particles of central importance in the physics of topological insulators. This will include the extension of exact solutions to more complicated models and the development and application of topological data analysis for detecting topological phase transitions in these and more general materials. ....Topological insulators and free fermions: from Hermitian to non-Hermitian. This project aims to develop and fully understand a class of mathematical models describing fundamental interacting systems of particles of central importance in the physics of topological insulators. This will include the extension of exact solutions to more complicated models and the development and application of topological data analysis for detecting topological phase transitions in these and more general materials. The project will also apply diagrammatic methods to address a long-standing challenge in solving a particular model. The project aims to contribute to training researchers in an area of the mathematical sciences of benefit to the future development of new concepts for next-generation electronic devices and smart materials.Read moreRead less
Reaching new frontiers of quantum fields and gravity through deformations. This project aims to reach new frontiers in quantum field and gravity theories. These underpin systems ranging from semi-conductors to particle collisions and the quantum behavior of black holes. An obstacle is that these theories are notoriously hard to solve. This project proposes to tackle this longstanding problem by using new deformations, symmetries and dualities that have attracted widespread attention. Expected ou ....Reaching new frontiers of quantum fields and gravity through deformations. This project aims to reach new frontiers in quantum field and gravity theories. These underpin systems ranging from semi-conductors to particle collisions and the quantum behavior of black holes. An obstacle is that these theories are notoriously hard to solve. This project proposes to tackle this longstanding problem by using new deformations, symmetries and dualities that have attracted widespread attention. Expected outcomes will include innovative techniques that will greatly enhance and interconnect our knowledge of field theories and quantum gravity, together with new discoveries in quantum-corrected geometries. A new network of domestic and international experts will largely benefit the fields of theoretical and mathematical physics.Read moreRead less
Unravelling the neutron lifetime puzzle with lattice quantum chromodynamics. This project will perform supercomputer simulations to confront one of the outstanding puzzles of nuclear and particle physics, the neutron lifetime. New knowledge will be generated through the development of novel theoretical and numerical techniques to increase the precision of the leading theoretical inputs required to predict the neutron lifetime. The outcomes will provide crucial theoretical guidance into understan ....Unravelling the neutron lifetime puzzle with lattice quantum chromodynamics. This project will perform supercomputer simulations to confront one of the outstanding puzzles of nuclear and particle physics, the neutron lifetime. New knowledge will be generated through the development of novel theoretical and numerical techniques to increase the precision of the leading theoretical inputs required to predict the neutron lifetime. The outcomes will provide crucial theoretical guidance into understanding the neutron; helping to guide the next-generation neutron experiments, from particle physics to applications in advanced materials science. The results will have immediate benefit by resolving the neutron lifetime puzzle, while enabling Australian scientists to take a leadership role in this area of fundamental science.Read moreRead less
Quantum tunnelling of composite systems. This project aims to investigate profound physics problem of quantum tunnelling of composite systems such as atoms, molecules and atomic nuclei. Using new theoretical concepts and tools to describe low-energy fusion between atomic nuclei, this project is expected to generate new knowledge and improve understanding of nuclear reactions, the formation of elements in the cosmos, and underpin future nuclear technologies. The project aims to leverage Australia ....Quantum tunnelling of composite systems. This project aims to investigate profound physics problem of quantum tunnelling of composite systems such as atoms, molecules and atomic nuclei. Using new theoretical concepts and tools to describe low-energy fusion between atomic nuclei, this project is expected to generate new knowledge and improve understanding of nuclear reactions, the formation of elements in the cosmos, and underpin future nuclear technologies. The project aims to leverage Australian capacity in quantum and nuclear theory to produce the first predictive model of quantum tunnelling with a modern microscopic treatment of nuclear dynamics. It will provide new theoretical guidance to experimental programs with exotic beams and focussing on nucleosynthesis.Read moreRead less
Atomic sensors for dark matter, rotation and magnetic fields. This project aims to develop ultra-high-performance sensors. The research will explore new methods for using the magnetic and optical properties of atomic gases to enable multi-parameter sensing without crosstalk between measurements. It is expected that techniques will be developed to allow simultaneous sensing of rotation and magnetic fields using devices that are compact, ultra-precise and energy efficient. It is also anticipated t ....Atomic sensors for dark matter, rotation and magnetic fields. This project aims to develop ultra-high-performance sensors. The research will explore new methods for using the magnetic and optical properties of atomic gases to enable multi-parameter sensing without crosstalk between measurements. It is expected that techniques will be developed to allow simultaneous sensing of rotation and magnetic fields using devices that are compact, ultra-precise and energy efficient. It is also anticipated that these new atomic sensors will support a global network looking for dark matter, which although never seen, is thought to make up 85% of the mass of the universe. The outcomes are expected to benefit medical science, geo-exploration, high-tech manufacturing, navigation and our understanding of the universe.Read moreRead less
Quantum thermalisation: a new framework for nuclear collisions. This project aims to quantify and model the processes that lead to quantum thermalisation in nuclear collisions. Thermalisation is critical to the synthesis of new superheavy elements, production of medical isotopes, and creation of heavy elements in the cosmos. Yet quantum thermalisation in nuclear systems is not understood, causing models to be wrong by up to a factor of 100. This project will determine the routes to thermalisatio ....Quantum thermalisation: a new framework for nuclear collisions. This project aims to quantify and model the processes that lead to quantum thermalisation in nuclear collisions. Thermalisation is critical to the synthesis of new superheavy elements, production of medical isotopes, and creation of heavy elements in the cosmos. Yet quantum thermalisation in nuclear systems is not understood, causing models to be wrong by up to a factor of 100. This project will determine the routes to thermalisation in nuclear systems by combining the latest concepts in many body quantum physics with enhancements to Australia’s precision measurement capabilities. The project will enable new fundamental tests of quantum mechanics and benefit broader applications of nuclear collisions.Read moreRead less
Imaging the spatial distribution of forces that bind quarks to a proton. This project will perform supercomputer simulations to resolve the distribution of forces acting on quarks inside the proton. New knowledge will be generated in the area of fundamental strong-interaction physics by developing innovative approaches to image novel features that have not been possible in the past. The outcomes will therefore open new research possibilities by expanding the capacity of the international communi ....Imaging the spatial distribution of forces that bind quarks to a proton. This project will perform supercomputer simulations to resolve the distribution of forces acting on quarks inside the proton. New knowledge will be generated in the area of fundamental strong-interaction physics by developing innovative approaches to image novel features that have not been possible in the past. The outcomes will therefore open new research possibilities by expanding the capacity of the international community to study strong interaction physics—including direct relevance to experimental research at the recently-upgraded Jefferson Lab in the US. In analogy to Rutherford's atomic model, the results will have benefit to future generations of humanity with a deeper understanding of the structure of matter.Read moreRead less