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Multiple atomic photoionization in superstrong electromagnetic field. Correlation, or entanglement, of electrons in matter governs many important phenomena in nature, such as chemical reactions, superconductivity and ferromagnetism. However, it is the many-electron processes in atoms which allow the study of electron correlations most clearly. In this project we will investigate such a process of two-electron atomic photoionization by an intense laser pulse. We will combine advanced theoretical ....Multiple atomic photoionization in superstrong electromagnetic field. Correlation, or entanglement, of electrons in matter governs many important phenomena in nature, such as chemical reactions, superconductivity and ferromagnetism. However, it is the many-electron processes in atoms which allow the study of electron correlations most clearly. In this project we will investigate such a process of two-electron atomic photoionization by an intense laser pulse. We will combine advanced theoretical and experimental tools with the aim of understanding how the electron correlation interplays with the superstrong electromagnetic field. This will provide insight into fundamental processes of interaction of intense laser pulses with matter which are important in a wide range of applications.Read moreRead less
New frontiers in statistical mechanics. The chiral Potts model has been introduced in 1981 as a model for commensurate-incommensurate phase transitions in a layer of atoms or molecules adsorbed to a solid surface. If the adsorbed atoms all fit to holes between the surface atoms, the added layer is frozen, commensurate with the surface. If the added atoms are unable to fit holes, the added layer is no longer commensurate with the surface and could be in a floating state. A deeper understanding of ....New frontiers in statistical mechanics. The chiral Potts model has been introduced in 1981 as a model for commensurate-incommensurate phase transitions in a layer of atoms or molecules adsorbed to a solid surface. If the adsorbed atoms all fit to holes between the surface atoms, the added layer is frozen, commensurate with the surface. If the added atoms are unable to fit holes, the added layer is no longer commensurate with the surface and could be in a floating state. A deeper understanding of this and similar phenomena in layered systems has nanotechnological implications. This may affect the design of new small electronic devices or could apply to small biological systems and the development of new medicines. The project will surely lead to new applicable mathematics.Read moreRead less
Low-dimensional quantum systems. The theory of integrable systems of statistical mechanics and quantum field theory is currently one of most rapidly developing and fascinating subjects in theoretical physics and mathematics.
It allows to obtain an exact description of strongly-interacting quantum systems in one or two space dimensions and provides fundamental tools for understanding of critical phenomena and physics of small systems like quantum wires, carbon nanotubes and Josephson junctions ....Low-dimensional quantum systems. The theory of integrable systems of statistical mechanics and quantum field theory is currently one of most rapidly developing and fascinating subjects in theoretical physics and mathematics.
It allows to obtain an exact description of strongly-interacting quantum systems in one or two space dimensions and provides fundamental tools for understanding of critical phenomena and physics of small systems like quantum wires, carbon nanotubes and Josephson junctions. The project addresses two particular problems in this field: the three-dimensional lattice model with continuous spins and calculation of form factors in a two-dimensional massive field theory with a supersymmetry.
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Noncommutative geometry and applications. Noncommutative geometry is a new field of mathematical research having its origins in quantum mechanics. The main feature of this theory is that it deals with geoemtric and topological aspects of objects for which the order in which we make measurements or perform operations or observations is relevant to the outcome. This happens with microscopic systems especially those at the atomic or subatomic length scale. The methods have been motivated by and fou ....Noncommutative geometry and applications. Noncommutative geometry is a new field of mathematical research having its origins in quantum mechanics. The main feature of this theory is that it deals with geoemtric and topological aspects of objects for which the order in which we make measurements or perform operations or observations is relevant to the outcome. This happens with microscopic systems especially those at the atomic or subatomic length scale. The methods have been motivated by and found application in condensed matter physics, string theory, random media, algebraic structures and the geometry and topology of manifoldsRead moreRead less
Optical and matter-wave vortices in nonlinear and inhomogeneous media. Wave phenomena of diverse nature have a strikingly similar feature of vorticity, with the energy or matter spiralling around isolated phase singularities. This project targets the fundamental theoretical research in an interdisciplinary field of singular waves transporting vortices in nonlinear and inhomogeneous media. Our project will contribute to the designated priority area "Frontier Technologies for Building and Transfor ....Optical and matter-wave vortices in nonlinear and inhomogeneous media. Wave phenomena of diverse nature have a strikingly similar feature of vorticity, with the energy or matter spiralling around isolated phase singularities. This project targets the fundamental theoretical research in an interdisciplinary field of singular waves transporting vortices in nonlinear and inhomogeneous media. Our project will contribute to the designated priority area "Frontier Technologies for Building and Transforming Australian Industries" by providing fundamental understanding of novel physical phenomena and underpinning technological advances in the fields of photonics, atom, and electron optics, where Australia has built strong expertise and plays a significant role in the international development.Read moreRead less
Physical properties of exactly solved quantum spin systems. Progress in understanding quantum spin systems in condensed matter physics can be greatly enhanced by the knowledge and understanding obtained from exactly solved models. This project will apply new techniques from the theory of exactly solved models to calculate the magnetic and thermal properties of quantum spin systems. The outcomes will include progress at the forefront of theoretical physics, with direct comparison with experimenta ....Physical properties of exactly solved quantum spin systems. Progress in understanding quantum spin systems in condensed matter physics can be greatly enhanced by the knowledge and understanding obtained from exactly solved models. This project will apply new techniques from the theory of exactly solved models to calculate the magnetic and thermal properties of quantum spin systems. The outcomes will include progress at the forefront of theoretical physics, with direct comparison with experimental results and strong predictive power for new experiments. The project will establish strong research links between Australia and Japan.Read moreRead less