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.
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
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.
Australian Laureate Fellowships - Grant ID: FL150100019
Funder
Australian Research Council
Funding Amount
$3,041,282.00
Summary
Precision laser levitation for quantum metrology and gravitational sensing. Precision laser levitation for quantum metrology and gravitational sensing: This fellowship project aims to levitate macroscopic objects using only laser beams, to provide a new tool to test physics theories. Strong laser beams can exert sufficient force to counteract gravity and make an object levitate. In contrast to other forms of levitation, laser levitation is scatter-free and can preserve system coherence. It has s ....Precision laser levitation for quantum metrology and gravitational sensing. Precision laser levitation for quantum metrology and gravitational sensing: This fellowship project aims to levitate macroscopic objects using only laser beams, to provide a new tool to test physics theories. Strong laser beams can exert sufficient force to counteract gravity and make an object levitate. In contrast to other forms of levitation, laser levitation is scatter-free and can preserve system coherence. It has superior optical and mechanical quality factors and complete information of the system dynamics is retained. This allows laser levitation to be turned into a highly controllable and ultra-sensitive device capable of detecting minute environmental changes. This research aims to probe the relationship between quantum and gravitational physics and develop laser levitation into a precision instrument for the sensing of gravity. Laser levitation has the potential to be developed into technology for mineral exploration and environmental sensing.Read moreRead less
Coherent Laser Levitation for Precision Sensing and Enabling Science. When light collides with matter, it may exert a force called radiation pressure. This project aims to use radiation pressure to levitate a small mirror. Using a tripod of laser beams, it is possible to levitate and trap the mirror in a stable position. Radiation pressure has been used before to levitate, but previous work has always involved scattering light from the levitating object. This project proposes the use of a high q ....Coherent Laser Levitation for Precision Sensing and Enabling Science. When light collides with matter, it may exert a force called radiation pressure. This project aims to use radiation pressure to levitate a small mirror. Using a tripod of laser beams, it is possible to levitate and trap the mirror in a stable position. Radiation pressure has been used before to levitate, but previous work has always involved scattering light from the levitating object. This project proposes the use of a high quality mirror, allowing the collection of the reflected light and the accurate measurement and control of the position of the mirror as it floats on the laser beams. Using the unique properties of the floating mirror, it will be possible to search for signatures of quantum gravity and develop tools for ultra-precision metrology.Read moreRead less
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE110100129
Funder
Australian Research Council
Funding Amount
$550,000.00
Summary
Equipment and instrumentation for breaking the quantum measurement barrier. This equipment will support Australia's partnership in the international effort to detect gravitational waves, which would allow the first direct observation of black holes and mark the beginning of exploration of the gravitational wave spectrum.
Enhancing the science reach of second generation interferometric gravitational wave detectors through innovative mirror design and control. Predicted by Einstein, gravitational waves promise to unlock the secrets of the universe just as seismic measurements unlocked the secrets of the Earth's interior. Scientists are on the brink of detecting these waves. This research aids that effort by developing Australian technologies which allow specific gravitational wave sources to be targeted.
A Laser Guide Star using a High Power, Synchronously Pumped Optical Parametric Oscillators. We will develop a novel high power source of 589nm coherent (laser) light to be used to create a laser guide star by exciting sodium atoms in the earth's upper atmosphere (the mesosphere). This is needed to determine the distortion caused by the atmosphere on an optical beam propagating through it and generate the information needed to correct those distortions using an adaptive optics telescope. This pr ....A Laser Guide Star using a High Power, Synchronously Pumped Optical Parametric Oscillators. We will develop a novel high power source of 589nm coherent (laser) light to be used to create a laser guide star by exciting sodium atoms in the earth's upper atmosphere (the mesosphere). This is needed to determine the distortion caused by the atmosphere on an optical beam propagating through it and generate the information needed to correct those distortions using an adaptive optics telescope. This project focuses on the development of a novel high power 589nm source based on a synchronously pumped optical parametric oscillator.Read moreRead less
Studies of turbulence and coherent structures in quasi two-dimensional plasmas and fluids. One of the most celebrated but least understood complex systems in nature is turbulent flow. This cross-disciplinary project aims to contribute to basic scientific knowledge of a class of turbulent flows, known as quasi two-dimensional fluids, that typically exhibit self-organizing properties, stable sheared flow, and relatively weak dissipation. The significance lies in the proposed testing, by modelling ....Studies of turbulence and coherent structures in quasi two-dimensional plasmas and fluids. One of the most celebrated but least understood complex systems in nature is turbulent flow. This cross-disciplinary project aims to contribute to basic scientific knowledge of a class of turbulent flows, known as quasi two-dimensional fluids, that typically exhibit self-organizing properties, stable sheared flow, and relatively weak dissipation. The significance lies in the proposed testing, by modelling and simulation studies, of the well-grounded hypothesis that suppression of turbulence by sheared flow is a universal phenomenon in such fluids, and that it can be exploited to control transport of fluid constituents. Applications of this new knowledge will be developed.Read moreRead less