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.
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
The connection between discrete holomorphicity and Yang-Baxter integrability. This project will develop and apply the mathematical theory underlying the rigorous study of phase transitions and critical phenomena, which defines what we know about 'everyday' matter and its transformations. The project will also contribute to training in an area for which Australia has an outstanding international reputation.
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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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
The mathematics of cold quantum matter. Ongoing advances in the experimental realisation of ultracold quantum matter play a leading role in the international effort towards the eventual realisation of quantum technology. This research project aims to build on and develop Australia's mathematical research strengths to explore and describe the enabling physics of cold quantum matter. This approach will further consolidate and enhance Australia's leadership in quantum science. The program of fundam ....The mathematics of cold quantum matter. Ongoing advances in the experimental realisation of ultracold quantum matter play a leading role in the international effort towards the eventual realisation of quantum technology. This research project aims to build on and develop Australia's mathematical research strengths to explore and describe the enabling physics of cold quantum matter. This approach will further consolidate and enhance Australia's leadership in quantum science. The program of fundamental research will also contribute to training mathematically talented students in a rapidly advancing area with the capacity to contribute to a wide range of problems, including the emerging technology of quantum devices.Read moreRead less
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE0347797
Funder
Australian Research Council
Funding Amount
$263,000.00
Summary
A Versatile High-resolution X-ray Diffractometer for Materials Research. The aim of this project is to establish a state-of-the-art triple-axis x-ray diffraction facility capable of non-destructively analysing complex semiconductor materials and structures investigated by all Australian semiconductor-growing groups. Growers and device engineers will be able to control growth processes accurately and correlate device performance with structural analysis. Modern triple-axis instruments can also b ....A Versatile High-resolution X-ray Diffractometer for Materials Research. The aim of this project is to establish a state-of-the-art triple-axis x-ray diffraction facility capable of non-destructively analysing complex semiconductor materials and structures investigated by all Australian semiconductor-growing groups. Growers and device engineers will be able to control growth processes accurately and correlate device performance with structural analysis. Modern triple-axis instruments can also be used for high-resolution texture analysis and surface reflectivity measurements on numerous types of materials. Thus chemists, geologists, and materials scientists with interests outside of the semiconductor growth community will gain substantial benefit from this instrument for the investigation of materials of technological and economic importance.Read moreRead less
Engineering and control of metamaterials with negative refraction. This project will extend significantly the research activity on metamaterials in Australia, promoting this new field and aiming to solve high priority problems and paving the way to creation of practical sub-wavelength devices. This project is therefore of national benefit for its advances in critical fundamental research and for potential applications in a large number of engineering tasks in microwave and optical devices. The p ....Engineering and control of metamaterials with negative refraction. This project will extend significantly the research activity on metamaterials in Australia, promoting this new field and aiming to solve high priority problems and paving the way to creation of practical sub-wavelength devices. This project is therefore of national benefit for its advances in critical fundamental research and for potential applications in a large number of engineering tasks in microwave and optical devices. The project will initialize collaboration with world leading experts in the area, bringing important expertise to Australia. It will provide a greater acceptance of Australia as a major world player in fundamental research.Read moreRead less
Nonlinear metamaterials and transformation optics. This research program will bring Australia to the forefront of international research in the exciting area of nonlinear metamaterials. It will provide high-level training for students in breakthrough science directions, and contribute to the uptake of frontier technologies by Australian industries for successful operation in a competitive global environment. This project will introduce and demonstrate novel concepts for dynamically controlling a ....Nonlinear metamaterials and transformation optics. This research program will bring Australia to the forefront of international research in the exciting area of nonlinear metamaterials. It will provide high-level training for students in breakthrough science directions, and contribute to the uptake of frontier technologies by Australian industries for successful operation in a competitive global environment. This project will introduce and demonstrate novel concepts for dynamically controlling and manipulating the properties of new type of materials. This research should bridge a gap between the study of metamaterials as a theoretical curiosity and their advanced applications. Our developments will underpin future developments in imaging systems and security. Read moreRead less