Stress Evaluation with Non-Linear Guided Waves. This project plans to investigate a novel approach for in situ measurement of stress in structures based on an internal resonance phenomenon for nonlinear guided waves. Monitoring the stress level of critical structural components is important to ensure structural safety. The project plans to derive the requirements for this internal resonance and its dependence on stress analytically and verify them experimentally for both simple waveguides and mo ....Stress Evaluation with Non-Linear Guided Waves. This project plans to investigate a novel approach for in situ measurement of stress in structures based on an internal resonance phenomenon for nonlinear guided waves. Monitoring the stress level of critical structural components is important to ensure structural safety. The project plans to derive the requirements for this internal resonance and its dependence on stress analytically and verify them experimentally for both simple waveguides and more realistic structures. The expected outcome is the demonstration of the feasibility of a new inexpensive method for continuous monitoring of applied or thermally-induced stresses, which is of great importance in several engineering contexts, such as modern railway track rails, pipelines or pre-stressed strands in concrete structures.Read moreRead less
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
Discovery Early Career Researcher Award - Grant ID: DE230100054
Funder
Australian Research Council
Funding Amount
$432,000.00
Summary
Spectral estimates in the presence of a magnetic field. Estimates on eigenvalues of integral operators are at the core of numerous results in the study of quantum phenomena and in associated mathematical fields. This project aims to establish detailed spectral properties of the integral operators arising in quantum models incorporating magnetic fields. An anticipated goal is the generation of new and significant theoretical results in analysis that will open novel approaches to the use of magnet ....Spectral estimates in the presence of a magnetic field. Estimates on eigenvalues of integral operators are at the core of numerous results in the study of quantum phenomena and in associated mathematical fields. This project aims to establish detailed spectral properties of the integral operators arising in quantum models incorporating magnetic fields. An anticipated goal is the generation of new and significant theoretical results in analysis that will open novel approaches to the use of magnetic differential operators. This is expected to benefit Australian science by invigorating collaboration between mathematics and theoretical physics, by providing research training relevant to emerging quantum science based technology and strengthening research collaborations with world leading scientists.Read moreRead less
Topological stability from spectral analysis. The aim is to use mathematical scattering theory to find and study new topological features of the spectra of linear transformations on Hilbert space. The significance derives from mathematical models of low temperature conducting quantum materials. These have revealed `topological phases of matter' that are stable with respect to a range of variations in the parameters that determine the system. The stability is desired for applications to quantum ....Topological stability from spectral analysis. The aim is to use mathematical scattering theory to find and study new topological features of the spectra of linear transformations on Hilbert space. The significance derives from mathematical models of low temperature conducting quantum materials. These have revealed `topological phases of matter' that are stable with respect to a range of variations in the parameters that determine the system. The stability is desired for applications to quantum devices. Our results will give topological stability from the scattering spectrum, a feature not previously seen. The benefits stem from new results in mathematical scattering theory with a primary novelty being the analysis of ``zero energy resonances'' in mathematical models of graphene.Read moreRead less
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
Dissipation and relaxation in statistical mechanics. This project studies the mathematical conditions for relaxation either to equilibrium or to steady states, which is important in predicting behaviour in diverse fields including climate modelling, materials science, nanotechnology and biology. Early career researchers will be involved in the project, gaining valuable skills in theory and simulation.
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
A new energy absorption system for brain injury mitigation. This research aims to propose and investigate a next generation high-energy absorbing helmet pad that will protect the Australian Defence Force soldiers against both ballistic and blast threats. New fundamental knowledge in the area of high-energy absorbing metamaterials will be obtained by using numerical modelling and experimental studies. The expected outcomes of the project include the development of a new wearable energy absorbing ....A new energy absorption system for brain injury mitigation. This research aims to propose and investigate a next generation high-energy absorbing helmet pad that will protect the Australian Defence Force soldiers against both ballistic and blast threats. New fundamental knowledge in the area of high-energy absorbing metamaterials will be obtained by using numerical modelling and experimental studies. The expected outcomes of the project include the development of a new wearable energy absorbing pad which can be used as the next generation combat helmet liners and accessories. The novel high-performance energy absorption system will have a wide range of direct applications in future personal armour, as well as sports gears and elderly healthcare products.Read moreRead less
Ionic Dispersion Forces in Physical Chemistry: Implications for pH, Electrochemistry, Nanoparticle Formation and Organic Synthesis. Our current understanding of charged systems in solution is deeply flawed . Existing theories are not predictive, mainly because they concentrate entirely on electrostatics. This proposal aims to partially rectify this by including the effects of previously neglected dispersion forces in a number of problems. These forces are responsible for much of the behaviou ....Ionic Dispersion Forces in Physical Chemistry: Implications for pH, Electrochemistry, Nanoparticle Formation and Organic Synthesis. Our current understanding of charged systems in solution is deeply flawed . Existing theories are not predictive, mainly because they concentrate entirely on electrostatics. This proposal aims to partially rectify this by including the effects of previously neglected dispersion forces in a number of problems. These forces are responsible for much of the behaviour seen in the following systems: the theory of electrolytes; electrochemistry pH and buffers; self energy effects in organic chemistry; and zeolite and nano-particle synthesis. The main outcome will be accurate and predictive theories for these systems.Read moreRead less
Properties of nonequilibrium steady states. A nonequilibrium steady state (NESS) occurs when work is performed on a system and the heat so generated is absorbed by a thermostatting mechanism. The system settles into steady state and its properties no longer change. Almost all experimental systems of interest are in a nonequilibrium state, so understanding NESSs is highly significant. Unlike time stationary equilibrium states, the distribution of microstates in a NESS cannot be described by simpl ....Properties of nonequilibrium steady states. A nonequilibrium steady state (NESS) occurs when work is performed on a system and the heat so generated is absorbed by a thermostatting mechanism. The system settles into steady state and its properties no longer change. Almost all experimental systems of interest are in a nonequilibrium state, so understanding NESSs is highly significant. Unlike time stationary equilibrium states, the distribution of microstates in a NESS cannot be described by simple closed form distributions. This project will determine properties, symmetries and extrema of NESS using concepts and theorems developed for studying transient nonequilibrium states, and will also determine if approximate, physically relevant forms of the phase space distributions can be developed.Read moreRead less