We apply the most advanced quantum-mechanical modeling to resolve electron motion in atoms and molecules on the atto-second (one quintillionth of a second) time scale. Our theoretical modeling, based on a rigorous, quantitative description of correlated electron dynamics, provides insight into new physics taking place on the atomic time scale.
The project studies possibility of the coherent control (i.e. manipulating properties of a quantum system, such as charge density, levels populations, etc., using a suitably tailored laser pulse) for a quantum mechanical model of a molecule.
The project bridges the fundamental physics of topological phases with nonlinear optics. This promising synergy is expected to unlock advanced functionalities for applications in optical sources, frequency combs, isolators and multiplexers, switches and modulators, both for classical and quantum light.
Large scale quantum many body simulations are performed to study the quantum shell effects that determine the final properties of the nuclear fission fragments.
Quantum many-body modelling of the atomic nucleus will help us understand how dark matter particles interact with atomic nuclei, as well as how many scattering events we can expect in underground laboratory search for dark matter.
We apply the most advanced quantum-mechanical modeling to resolve electron motion in atoms and molecules on the atto-second (one quintillionth of a second) time scale. Our theoretical modeling, based on a rigorous, quantitative description of correlated electron dynamics, provides insight into new physics taking place on the atomic time scale.
In recent years there was a large boost in development of advanced variational methods which play an important role in analytic and numerical studies of 1D and 2D quantum spin systems. Such methods are based on the ideas coming from the renormalization group theory which states that physical properties of spin systems become scale invariant near criticality. One of the most powerful variational algorithms is the corner-transfer matrices (CTM) method which allows to predict properties of large systems based on a simple iterative algorithm.
Large scale quantum many body simulations are performed to study the quantum shell effects that determine the final properties of the nuclear fission fragments.
We will study links between integrable systems in statistical mechanics, combinatorial problems and special functions in mathematics. This area of research has attracted many scientist's attention during the last decade and revealed unexpected links to other areas of mathematics like enumeration problems and differential equations.
The project studies possibility of the coherent control (i.e. manipulating properties of a quantum system, such as charge density, levels populations, etc., using a suitably tailored laser pulse) for a quantum mechanical model of a molecule.
There are many interesting physical statistical systems which never reach thermal equilibrium. Examples include surface growth, diffusion processes or traffic flow. In the absence of general theory of such systems a study of particular models plays a very important role. Integrable systems provide examples of such systems where one can analyze time dynamics using analytic methods.
Quantum many-body modelling of the atomic nucleus will help us understand how dark matter particles interact with atomic nuclei, as well as how many scattering events we can expect in underground laboratory search for dark matter.
The aim of this project is to introduce quantum integrable systems which play a very important role in modern theoretical physics. Such systems provide one of very few ways to analyze nonlinear effects in continuous and discrete quantum systems.
The project bridges the fundamental physics of topological phases with nonlinear optics. This promising synergy is expected to unlock advanced functionalities for applications in optical sources, frequency combs, isolators and multiplexers, switches and modulators, both for classical and quantum light.
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