Unified theory of Richardson-Gaudin integrability. Richardson-Gaudin systems form a class of mathematical models of interacting particles that serve as a foundation to understand important phenomena in modern physics. Being integrable, these quantum systems enable deep insights. They are tractable so as to allow for exact analysis, while being elaborate enough to exhibit complex physical properties, notably phase transitions. The international team of researchers aims to merge various approaches ....Unified theory of Richardson-Gaudin integrability. Richardson-Gaudin systems form a class of mathematical models of interacting particles that serve as a foundation to understand important phenomena in modern physics. Being integrable, these quantum systems enable deep insights. They are tractable so as to allow for exact analysis, while being elaborate enough to exhibit complex physical properties, notably phase transitions. The international team of researchers aims to merge various approaches for analysing the integrability of such models. Successful outcomes are expected to produce inventive mathematical techniques, linking a diverse range of fields of current activity and growth. The resulting unified theory is expected to open the door to exciting and innovative pathways in mathematical physics research.Read moreRead less
Quantum equilibration. This project will shed light on a fundamental problem in physics - how do fragile quantum systems, entirely isolated from the rest of the world, return to equilibrium when disturbed from their natural state? Our results will provide a theoretical underpinning for the development of quantum simulators that can be used for the design of advanced materials.
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.
Topological properties of exactly-solvable, two-dimensional quantum systems. Two-dimensional quantum systems have unique properties which are driving developments in the emerging generation of quantum-based technologies. This project will facilitate progress by elucidating the mathematics underlying these systems. The results will impact on downstream research and development in the area of superior information processing.
Discovery Early Career Researcher Award - Grant ID: DE170100088
Funder
Australian Research Council
Funding Amount
$360,000.00
Summary
Self-calibrating quantum devices. This project aims to improve control over quantum systems. It will develop self-calibrating quantum devices, the equivalent of Noise Cancelling Headphones for quantum systems. The project will create filtering protocols, suppressing characterised noise via appropriate controls. This is expected to lead to greater control over systems, demanded by quantum computers and nano devices, like next generation computer chips.
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
Crossing quantum-classical boundaries in a single particle. This project is aimed at constructing and observing an individual quantum system that can exhibit chaotic behaviour under controllable conditions. It is a long-sought goal of modern physics that can become reality for the first time in the world, thanks to the unique availability in Australia of the most quantum-coherent single spin ever made and a long history of theoretical advances in the field. Turning a spin into a chaotic system w ....Crossing quantum-classical boundaries in a single particle. This project is aimed at constructing and observing an individual quantum system that can exhibit chaotic behaviour under controllable conditions. It is a long-sought goal of modern physics that can become reality for the first time in the world, thanks to the unique availability in Australia of the most quantum-coherent single spin ever made and a long history of theoretical advances in the field. Turning a spin into a chaotic system will uncover the true nature of the quantum-classical boundary, and verify whether an underlying classical chaotic dynamics ultimately influences the behaviour of quantum systems. It is expected that the discoveries made will illuminate the path towards the technological exploitation of increasingly complex quantum devices.Read moreRead less
Integrated microresonator based quantum technology. We will develop new 21st century physical technologies able to control the microscopic quantum world. These quantum technologies will build off world leading techniques to confine and manipulate light on a silicon chip, and have broad ramifications for future computing, medical, and sensing systems. New quantum architectures will be developed for information science, promising vast improvements over current systems; and new biological sensing s ....Integrated microresonator based quantum technology. We will develop new 21st century physical technologies able to control the microscopic quantum world. These quantum technologies will build off world leading techniques to confine and manipulate light on a silicon chip, and have broad ramifications for future computing, medical, and sensing systems. New quantum architectures will be developed for information science, promising vast improvements over current systems; and new biological sensing systems with world leading sensitivity will be implemented with important applications in the early detection of debilitating diseases. This research will raise Australia's profile as a world leader in science and technology, building on our already significant presence in quantum technology.Read moreRead less
Non-classical motion of a macroscopic mechanical resonator. This project will create the experimental tools to fully control the motion of a mechanical oscillator at the single-quanta level, opening a rich avenue for fundamental research and the development of quantum physics enhanced applications. This project will prepare a quantum state of a macroscopic mechanical resonator exhibiting quantum interference fringes at at an unprecedented mass scale. The observation of these fringes will enable ....Non-classical motion of a macroscopic mechanical resonator. This project will create the experimental tools to fully control the motion of a mechanical oscillator at the single-quanta level, opening a rich avenue for fundamental research and the development of quantum physics enhanced applications. This project will prepare a quantum state of a macroscopic mechanical resonator exhibiting quantum interference fringes at at an unprecedented mass scale. The observation of these fringes will enable the study of the intricacies of quantum decoherence and ultimately even probe quantum gravitational phenomena. To achieve these goals it will employ micro-scale optical resonators fabricated by established techniques, that also provide the ideal platform for scalable mechanical-oscillator-based quantum information applications.Read moreRead less