Prof. Dr. Wolfgang P. Schleich

Research Highlights
Quantum mechanics and number theoryFactorization of numbers using a quantum computer, security of codes due to the use of single photons, and the similarity of the statistics of the energy levels of a billard and the zeros of the Riemann zeta function point to an intimate connection between quantum mechanics and number theory. Therefore, we use quantum mechanics for modelling number theoretical problems to get a deeper understanding of them. Furthermore, we investigate entanglement as a tool for analytical extension of the Riemann zeta function and for speed up in factorization.more 

Quantum mechanics and general relativityWhereas general relativity dominates the cosmic scales, quantum mechanics governs the microscopic world and reveals the fundamental wave nature of matter. These two topics were successfully combined in the socalled QUANTUS project, in which a BoseEinstein condensate (BEC) was prepared and observed during free fall in the drop tower of Bremen. This experiment represents a milestone on the way to future space missions for new inertial and rotation sensors in space. Despite these local aspects of general relativity that are worth being tested with unprecedented accuracy, general relativity includes also very peculiar solutions of Einstein's field equation in which time travel in principle becomes possible, such as the socalled Gödel Universe.more 

Foundations of quantum physicsQuantum Mechanics was formulated in its most primitive form more than one hundred years ago. Its improvement over the decades led to a better understanding of the physical world, followed by a myriad of technological applications, some of them fully developed (e.g. the laser) and others yet to come (e.g. quantum computation). For such implementations to be possible, a close connection to foundational aspects is mandatory: purely quantum effects should be identified and studied. To this end, we deal with paradigmatic examples covering the ondulatory effects of quantum evolution, the manipulation and trapping of quantum particles and the resources of quantum computation.more 