Topological properties of periodically driven systems (Nr. 09.3.3-LMT-K-712-02-0065)

This research is funded by the European Social Fund.

The main objective of the proposed research project is to study periodically or almost periodically driven quantum systems in terms of the Floquet formalism. We plan to develop a general methodology for studying the Floquet bands and apply it in exploring periodically modulated systems. These include the shaken optical lattices and atoms driven by an inhomogeneous magnetic field in order to create the spin-orbit coupling. The results of the proposed theoretical research has potential applications to cold atoms experiments. The main aim of the proposed research is the study of topological properties due to the periodic driving. We will find out how the topological properties of the Floquet states change depending on the strength, profile and asymmetry of the driving force. The proposed research is not limited to strictly periodic driving. We will also study situations where the amplitude of the driving is slowly changing in time. The additional slow temporal dependence of the driving amplitude reflects a realistic situation encountered in current experiments with cold gas atoms.

Research fellow: dr. Viktor Novičenko
Fellowship supervisor: habil. dr. Gediminas Juzeliūnas