Atomic and Molecular Physics

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.
Professor Anatoli Kheifets, Dr Igor Ivanov

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.
Professor Anatoli Kheifets
Theoretical Physics
This project aims to develop and employ the full power of the theory of integrable quantum systems to new models of quantum many-body spin systems in string theory.
Professor Vladimir Bazhanov

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.
Professor Anatoli Kheifets, Dr Igor Ivanov

This project aims to study nuclear fission in both analytical and numerical ways to understand the mechanisms responsible for the diversified and astonishing fission properties in the actinide and sub-lead regions.
Dr Remi Bernard, Dr Cedric Simenel
The standard correspondence principle implies that quantum theory reduces to classical theory in the limit of the vanishing Planck constant. This project is devoted to a new type connection between quantum and classical systems which holds for arbitrary finite values of the Planch constant.
Professor Vladimir Bazhanov

Quantum tunnelling is a fundamental process in physics. How this process occurs with composite (many-body) systems, and in particular how it relates to decoherence and dissipation, are still open questions.
Dr Cedric Simenel, Dr Edward Simpson, Dr Remi Bernard

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.
Dr Vladimir Mangazeev
It is well known that the quasiclassical quantisation of the harmonic oscillator leads to its exact quantum mechanical spectrum. Remarkably, this result can be generalized to various anharmonic systems via mysterious connections to Conformal Field Theory.
Professor Vladimir Bazhanov

Heavy atomic nuclei may fission in lighter fragments, releasing a large amount of energy which is used in reactors. Advanced models of many-body quantum dynamics are developed and used to describe this process.
Dr Cedric Simenel, Dr Remi Bernard

Quantum chemists have recently found exact solutions to the Schrödinger equation for n electrons on the surface of a sphere. The project is to extend this model to finite range attraction such as those between nucleons in atomic nuclei.
Dr Cedric Simenel

Explore the geometry and symmetries of surfaces and other mathematical objects and explore their relevance in physical, chemical and biological contexts.
Dr Vanessa Robins
It appears that the scattering amplitudes in Quantum Chromodynamics (theory of strong interactions) can be exactly calculated in certain limiting cases (e.g. in the so-called multi-Redge kinematics). This is possible due to remarkable connections of this problem to the theory of integrable systems based on the Yang-Baxter equation.
Professor Vladimir Bazhanov

Dissipative solitons are generated due to the balance between gain and loss of energy as well as to the balance between input and output of matter. Their existence requires continuous supply of energy and matter that is available in open systems. The model explains variety of phanomena in biology and physics.
Professor Nail Akhmediev, Dr Adrian Ankiewicz, Dr Natasha Devine, Dr. Wonkeun Chang

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.
Dr Vladimir Mangazeev

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.
Dr Vladimir Mangazeev

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.
Professor Anatoli Kheifets
Conformal Field Theory (CFT) in two-dimensions describes physics of the second order transitions in statistical mechanics and also plays important role in string theory, which is expected to unify the theory of strong interaction with quantum gravity. The project aims to explore and further develop mathematical techniques of CFT.
Professor Vladimir Bazhanov, Dr Vladimir Mangazeev
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.
Dr Vladimir Mangazeev, Professor Vladimir Bazhanov