Research topics
                    During the recent decades it become feasible to manufacture semiconductor devices
                    with sizes of 10-100nm. At these scales quantum effects dominate almost all properties
                    of such systems including their conductivity, a detailed knowledge of which is necessary
                    to be able to design the circuitry of the future nanoelectronics. Quantum transport theory
                    is trying to answer these questions.
                    Quantum dots represent the archetypical zero-dimensional systems, which can be
                    regarded as
nanoscopic analogons of conventional transistors. It turns out that their
                    properties are dominated
by electron-electron interactions, which are responsible for such
                    interesting phenomena as
Coulomb blockade and Kondo effect. Current research
                    concentrates on their non-linear transport
properties, transient phenomena taking place
                    just after some of the parameters are abruptly
changed as well as the charge and spin
                    transfer statistics (aka full counting statistics) in the
stationary state.
                    The most remarkable fact about the ultracold gases is the possibility of manipulating their
                    parameters in almost every possible way. Especially interesting is the availability of
                    "taylored" interactions, which are almost impossible to realise with solid state set-ups.
                     This makes ultracold gases to an ideal testing ground for investigations of strong
                     correlation/interaction effects in condensed matter. We are working on different projects
                     involving genuine BEC condensates in optical traps as well as ultracold Rydberg gases.

                    Strongly correlated systems are responsible for a large number of intersting and not yet
                    properly understood multi-particle phenomena such as high-temperature superconductivity
                    and fractional quantum Hall effect. Despite an enormous progress in this fields during the
                    last 20 years there is still an abyss of open problems. We are trying to apply the methods
                    of bosonization, renormalisation group, conformal field theory as well as using
                    integrability methods in order to understand the transport properties of such systems.
                    The electronic degrees of freedom in carbon nanotubes are usually strongly correlated due
                    to dimensional confinement to (quasi-)1D geometry. In strictly 1D they are known to be
                    adequately described by the universality class of Tomonaga-Luttinger liquids. Because of
                    their extraordinary mechanical and electrical properties carbon nanotubes became one
                    of the
 possible candidates for the basis material in nanoelectronics. We are conducting
                    research
aiming at understanding of their transport properties.