Quantum many-body dynamics in nanostructures and quantum information

We plan a fundamental research of dynamics of interacting many-particle quantum systems, with specific applications in quantum information science and the physics of nanostructures, such as quantum wires and quantum dots.The results of our project will have useful applications in the developement of newly emerging quantum information technologies. One important segment ofthis technology, namely the quantum secure communication, is already at the point of entering the market.Our main scientific goals are: (i) understanding the evolution of quantum entanglement - which is the main resource for quantum computation - under non-trivial many-body dynamics, (ii) gain deeper understandingand control over decoherence by means of dynamical unitary models, (iii) control the stability of quantum evolution and quantum computation under external perturbations, (iv) explore the potentials of quantum adiabatic computation, (v) study bound states in quantum point contacts and quantum wires, (vi) study conductance and ground-state properties of coupled quantum dots.Particular emphasis of our work will be given on developing efficient numerical methods to tackle the problems of dynamics and transport in strongly interacting systems. As a common tool useful in different project topics mentioned above we plan do develop new efficient methods to diagonalization of large sparse matrices.