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Heisenberg-limited lasers: building the revolution. The project aims to design and build a revolutionary new type of laser based on the ground-breaking 2020 Nature Physics paper by the two Chief Investigators. The significance of this work is that it overturns 60 years of theory about the limits to laser coherence, by applying 21st century quantum theory and quantum technology to the problem. This project expects to greatly advance the theory and, by instigating a collaboration with world-leadin ....Heisenberg-limited lasers: building the revolution. The project aims to design and build a revolutionary new type of laser based on the ground-breaking 2020 Nature Physics paper by the two Chief Investigators. The significance of this work is that it overturns 60 years of theory about the limits to laser coherence, by applying 21st century quantum theory and quantum technology to the problem. This project expects to greatly advance the theory and, by instigating a collaboration with world-leading experimentalists working with superconducting quantum devices, to demonstrate a laser with coherence beyond what was thought possible. Benefits of the project should flow from the manifold applications for highly coherent radiation, including scaling up superconducting quantum computing.Read moreRead less
Ultimate quantum limits to coherence. This project aims to discover the ultimate quantum limits to optical coherence. Quantum physics underpin the miniaturisation of technology, and quantum devices can do things better, often with vastly fewer resources, than conventional devices. Lasers underpin most modern optical technologies, and have been studied for decades, but the ultimate quantum limits are unknown. To find them, this project will use theoretical techniques that have not hitherto been c ....Ultimate quantum limits to coherence. This project aims to discover the ultimate quantum limits to optical coherence. Quantum physics underpin the miniaturisation of technology, and quantum devices can do things better, often with vastly fewer resources, than conventional devices. Lasers underpin most modern optical technologies, and have been studied for decades, but the ultimate quantum limits are unknown. To find them, this project will use theoretical techniques that have not hitherto been combined. This project will likely influence the long-term development of lasers and other quantum devices and underpin innovation in miniaturised optical technology and other quantum devices, leading ultimately to commercial products that yield a better quality of life.Read moreRead less
Integrable Systems in Gauge and String Theories. Gauge theory describes all quantum forces except gravity. String theory aims to describe quantum gravity. Both theories are widely believed to be different limits of one unknown theory. Discoveries of integrable nonlinear partial differential equations and integrable quantum systems in gauge/string theories are among the most remarkable recent developments in mathematical physics. They have led to deep results in known gauge/string theories, as we ....Integrable Systems in Gauge and String Theories. Gauge theory describes all quantum forces except gravity. String theory aims to describe quantum gravity. Both theories are widely believed to be different limits of one unknown theory. Discoveries of integrable nonlinear partial differential equations and integrable quantum systems in gauge/string theories are among the most remarkable recent developments in mathematical physics. They have led to deep results in known gauge/string theories, as well as to viable paths towards the unknown theory that interpolates them. This project contributes to these developments by adapting and developing sophisticated technical tools and insights from integrable models to shed light on that unknown theory that transcends the gauge/string gap. Read moreRead less
Integrable models and topological strings. This project aims to develop advanced methods to compute n-point correlation functions in two-dimensional integrable models. The project expects to use recently discovered connections with topological strings to compute currently-inaccessible conformal blocks in conformal field theories, and their analogues in integrable massive field theories and statistical mechanical models. Expected outcomes include explicit expressions for the n-point correlation ....Integrable models and topological strings. This project aims to develop advanced methods to compute n-point correlation functions in two-dimensional integrable models. The project expects to use recently discovered connections with topological strings to compute currently-inaccessible conformal blocks in conformal field theories, and their analogues in integrable massive field theories and statistical mechanical models. Expected outcomes include explicit expressions for the n-point correlation functions, advances in the theory of topological vertices and the related representation theory, and new solutions of the Yang-Baxter equations. This should provide benefits that include a better understanding of two-dimensional integrable models and their deep connections with topological strings.Read moreRead less
Gravity and quantum-limited measurements with a fundamental minimum length. This project aims to investigate the effects of a fundamental minimum length on the nature of gravity and on how accurately we can make measurements in our world. The key challenge is to combine our best theories of fundamental physics to model what happens at ultra-short distances. This project will generate new knowledge at this interface by using a novel approach inspired by information theory. The expected outcomes a ....Gravity and quantum-limited measurements with a fundamental minimum length. This project aims to investigate the effects of a fundamental minimum length on the nature of gravity and on how accurately we can make measurements in our world. The key challenge is to combine our best theories of fundamental physics to model what happens at ultra-short distances. This project will generate new knowledge at this interface by using a novel approach inspired by information theory. The expected outcomes are new connections between fundamental limitations on measurements, the nature of gravitation, and ultra-small-scale quantum physics. The benefit of this work is breaking the logjam in answering the most important open question in all of physics: how to unite quantum theory and gravitation.Read moreRead less
Discovery Early Career Researcher Award - Grant ID: DE120101498
Funder
Australian Research Council
Funding Amount
$375,000.00
Summary
Superspace and dualities in supersymmetric field theories, supergravity and string theory. Supersymmetry, supergravity and string theory have represented the most promising frontiers of high-energy theoretical physics. This project will develop new techniques and explore novel dynamical features at the forefront of some of the most exiting fields of fundamental physics.
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
From superintegrability to quasi-exact solvability: theory and application. This project aims to develop mathematical techniques to resolve longstanding problems in the area of integrability and exact solvability. Quantum integrable systems and exact solvable models are of central importance for understanding the correct behaviours of complex quantum problems without approximation. This project aims to construct sophisticated mathematical tools to settle key questions across a variety of models ....From superintegrability to quasi-exact solvability: theory and application. This project aims to develop mathematical techniques to resolve longstanding problems in the area of integrability and exact solvability. Quantum integrable systems and exact solvable models are of central importance for understanding the correct behaviours of complex quantum problems without approximation. This project aims to construct sophisticated mathematical tools to settle key questions across a variety of models such as superintegrable systems, quantum spin chains, and spin-boson models. Anticipated applications of the proposed research include the accurate prediction of physical phenomena, from energy spectra to quantum correlations. Such advances should have significant ramifications, and provide benefits, well beyond the mathematical discipline itself.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
Quantum algorithms for computational physics. The project intends to provide a solid base of quantum algorithms that would enable quantum computers to tackle currently insurmountable problems. Many of the highest-value applications in computing are based on solving problems in physics. Quantum computers take advantage of the power of quantum mechanics to outperform even the fastest conceivable supercomputers. This project plans to use new tools in quantum algorithms to provide much faster ways f ....Quantum algorithms for computational physics. The project intends to provide a solid base of quantum algorithms that would enable quantum computers to tackle currently insurmountable problems. Many of the highest-value applications in computing are based on solving problems in physics. Quantum computers take advantage of the power of quantum mechanics to outperform even the fastest conceivable supercomputers. This project plans to use new tools in quantum algorithms to provide much faster ways for quantum computers to simulate physics, including molecular modelling, field theories that explain elementary forces in the universe, and differential equations needed to model classical physics. The increases in computing speed have the potential to enable new technology in areas such as drug design and materials science, as well as providing testable predictions for new theories of physics.Read moreRead less