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
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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Understanding cohesive forces in nanosystems. This theory project will provide basic scientific and modelling/computational support for a number of emerging technologies such as clean energy, and advanced materials and textiles (both CSIRO research areas). Other possible application areas are assembly of arrays of nanotube-based mechanical or electronic devices (e.g. single electron transistor arrays for quantum computer readout), and medical imaging and drug delivery via nano-sized magnetic pa ....Understanding cohesive forces in nanosystems. This theory project will provide basic scientific and modelling/computational support for a number of emerging technologies such as clean energy, and advanced materials and textiles (both CSIRO research areas). Other possible application areas are assembly of arrays of nanotube-based mechanical or electronic devices (e.g. single electron transistor arrays for quantum computer readout), and medical imaging and drug delivery via nano-sized magnetic particles. This last application is a strong growth area worldwide, with several Australian groups already participating. The project will train postgraduate students and a postdoctoral researcher. It will connect Australian scientists with a European Network of Excellence.Read moreRead less
Novel approaches to strongly correlated quantum systems in two dimensions. The expected outcome of the research program is a significant boost in our understanding of strongly correlated quantum systems, which will reinforce Australia's competitiveness and international profile in aspects of breakthrough science and frontier technologies. By strengthening both the underpinning theory and innovative computational tools to study quantum many-body systems, and by applying them to specific problems ....Novel approaches to strongly correlated quantum systems in two dimensions. The expected outcome of the research program is a significant boost in our understanding of strongly correlated quantum systems, which will reinforce Australia's competitiveness and international profile in aspects of breakthrough science and frontier technologies. By strengthening both the underpinning theory and innovative computational tools to study quantum many-body systems, and by applying them to specific problems of recognized importance, this program will have direct implications in condensed matter physics and will exert significant influence in areas such as quantum chemistry, high energy physics, quantum computing, quantum atom optics and nanotechnology.Read moreRead less
Algebraic approach to exactly soluble models for disordered systems. In nanoscience there are a diverse range of systems in which disorder, randomness, or noise can play a significant role. Examples range from quantum wires to qubits to unzipping DNA.
Even the simplest mathematical models for systems in the presence of disorder have a rich mathematical structure because they can be formulated in terms of Lie algrebras or diffusion on a curved surface.
The complementary physical and mathem ....Algebraic approach to exactly soluble models for disordered systems. In nanoscience there are a diverse range of systems in which disorder, randomness, or noise can play a significant role. Examples range from quantum wires to qubits to unzipping DNA.
Even the simplest mathematical models for systems in the presence of disorder have a rich mathematical structure because they can be formulated in terms of Lie algrebras or diffusion on a curved surface.
The complementary physical and mathematical expertise of the two Chief Investigators is crucial to this project.Read moreRead less
Entanglement renormalization: a new route to strongly correlated fermions and novel states of matter in two dimensions. The expected outcome of the research program is a significant boost in our understanding of strongly correlated fermion systems, which will reinforce Australia's competitiveness and international profile in aspects of breakthrough science and frontier technologies. By strengthening both the underpinning theory and innovative computational tools to study fermion systems, and by ....Entanglement renormalization: a new route to strongly correlated fermions and novel states of matter in two dimensions. The expected outcome of the research program is a significant boost in our understanding of strongly correlated fermion systems, which will reinforce Australia's competitiveness and international profile in aspects of breakthrough science and frontier technologies. By strengthening both the underpinning theory and innovative computational tools to study fermion systems, and by applying them to specific problems of recognized importance, this program will have direct implications in condensed matter physics and will exert significant influence in areas such as quantum chemistry, particle, nuclear and atomic physics, quantum computing, quantum atom optics and nanotechnology.Read moreRead less
Dynamics and correlations of many-body systems. The proposed program will greatly enhance Australian science through linking innovative
theoretical techniques with the successful ongoing Australian experimental program in atom
lasers, atom chip interferometry and ultra-cold fermions. Pioneering theoretical methods in
quantum phase-space are internationally recognized, and will be extended into new areas relevant
to Australia. These have fundamental significance to fields ranging from nanotec ....Dynamics and correlations of many-body systems. The proposed program will greatly enhance Australian science through linking innovative
theoretical techniques with the successful ongoing Australian experimental program in atom
lasers, atom chip interferometry and ultra-cold fermions. Pioneering theoretical methods in
quantum phase-space are internationally recognized, and will be extended into new areas relevant
to Australia. These have fundamental significance to fields ranging from nanotechnology to
astrophysics, as well as providing a route to improved atomic clocks and other instruments.
Combining these theoretical and computational methods from the physical sciences with biology
and genetics will provide future cross-disciplinary benefits to Australian biomedical science.Read moreRead less