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
Reaching new frontiers of quantum fields and gravity through deformations. This project aims to reach new frontiers in quantum field and gravity theories. These underpin systems ranging from semi-conductors to particle collisions and the quantum behavior of black holes. An obstacle is that these theories are notoriously hard to solve. This project proposes to tackle this longstanding problem by using new deformations, symmetries and dualities that have attracted widespread attention. Expected ou ....Reaching new frontiers of quantum fields and gravity through deformations. This project aims to reach new frontiers in quantum field and gravity theories. These underpin systems ranging from semi-conductors to particle collisions and the quantum behavior of black holes. An obstacle is that these theories are notoriously hard to solve. This project proposes to tackle this longstanding problem by using new deformations, symmetries and dualities that have attracted widespread attention. Expected outcomes will include innovative techniques that will greatly enhance and interconnect our knowledge of field theories and quantum gravity, together with new discoveries in quantum-corrected geometries. A new network of domestic and international experts will largely benefit the fields of theoretical and mathematical physics.Read moreRead less
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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Topological insulators and free fermions: from Hermitian to non-Hermitian. This project aims to develop and fully understand a class of mathematical models describing fundamental interacting systems of particles of central importance in the physics of topological insulators. This will include the extension of exact solutions to more complicated models and the development and application of topological data analysis for detecting topological phase transitions in these and more general materials. ....Topological insulators and free fermions: from Hermitian to non-Hermitian. This project aims to develop and fully understand a class of mathematical models describing fundamental interacting systems of particles of central importance in the physics of topological insulators. This will include the extension of exact solutions to more complicated models and the development and application of topological data analysis for detecting topological phase transitions in these and more general materials. The project will also apply diagrammatic methods to address a long-standing challenge in solving a particular model. The project aims to contribute to training researchers in an area of the mathematical sciences of benefit to the future development of new concepts for next-generation electronic devices and smart materials.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
Linkage Infrastructure, Equipment And Facilities - Grant ID: LE240100045
Funder
Australian Research Council
Funding Amount
$410,000.00
Summary
Cryogenic microwave characterization facility for quantum technologies. This project will establish a multi-user, fast-turn-around cryogenic characterization facility for microwave superconducting quantum technologies that are critical components for quantum computer, networks and sensor systems. This facility will lead to a significant improvement in research efficiency, allowing for rapid optimization of devices and components prior to integration into a larger quantum system. Expected outcome ....Cryogenic microwave characterization facility for quantum technologies. This project will establish a multi-user, fast-turn-around cryogenic characterization facility for microwave superconducting quantum technologies that are critical components for quantum computer, networks and sensor systems. This facility will lead to a significant improvement in research efficiency, allowing for rapid optimization of devices and components prior to integration into a larger quantum system. Expected outcomes include the creation of new intellectual property, enhanced engagement with industry, and will further boost Australia's efforts to build a commercially scalable quantum computer. 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
Harnessing Interlayer Biexcitons in Atomically Thin Heterostructures. This project aims to investigate the generation of high-quality quantum light sources by harnessing interlayer biexcitons in atomically thin heterostructures. This research expects to expand our understanding of fundamental physics of photon pair generation in atomically thin heterostructures. The expected outcome is demonstration of a prototype light-weight and intense quantum photon source based on novel materials, which can ....Harnessing Interlayer Biexcitons in Atomically Thin Heterostructures. This project aims to investigate the generation of high-quality quantum light sources by harnessing interlayer biexcitons in atomically thin heterostructures. This research expects to expand our understanding of fundamental physics of photon pair generation in atomically thin heterostructures. The expected outcome is demonstration of a prototype light-weight and intense quantum photon source based on novel materials, which can be readily integrated with photonic circuits for quantum communication technologies, enbling the developments of light weight portable devices, such as mobile phones, displays, and wearable photonics. This research could strengthen the development of new industries and lead to job creation in Australia. Read moreRead less
Quantum optical methods for entangled devices. This project aims to develop experimental quantum optics methods and techniques for enhancing the performance of sensitive devices. Entangled photons will be used to probe separate devices, yielding an improved detection of correlated signals. This new technique will benefit laboratory searches for new fundamental physics effects such as space-time fluctuations due to quantum gravity and exotic dark matter candidates. The project is expected to tr ....Quantum optical methods for entangled devices. This project aims to develop experimental quantum optics methods and techniques for enhancing the performance of sensitive devices. Entangled photons will be used to probe separate devices, yielding an improved detection of correlated signals. This new technique will benefit laboratory searches for new fundamental physics effects such as space-time fluctuations due to quantum gravity and exotic dark matter candidates. The project is expected to train scientists and students in advanced quantum methods, promoting and securing Australia's position as a leader in the development of quantum technologies. Read moreRead less
Probing and harnessing the light-matter interactions in two-dimensional phosphorene. This project aims to investigate phosphorene, a new two-dimensional material, for the development of new optical and electronic devices. Such materials have unique optical and electronic properties due to their flat physical structure, which gives rise to strong interactions between light and matter. The expected outcome of this project will be new kinds of near infrared light emitting diodes, single photon emit ....Probing and harnessing the light-matter interactions in two-dimensional phosphorene. This project aims to investigate phosphorene, a new two-dimensional material, for the development of new optical and electronic devices. Such materials have unique optical and electronic properties due to their flat physical structure, which gives rise to strong interactions between light and matter. The expected outcome of this project will be new kinds of near infrared light emitting diodes, single photon emitters and ground-breaking lasers. These developments will enable the fabrication of new low-power light sources that can integrate with communication technologies now, and quantum communication technologies in the future.Read moreRead less