AC-driven Quantum Phase Transitions

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A quantum phase transition is a drastic change of state of a many-body system which occurs at zero temperature. Relatively little is known about such critical behaviour under nonequilibrium conditions, which in this project will be generated by periodic fields (`AC-driving'). Our key objectives are- to theoretically formulate, analyse, and interpret AC-driven quantum phase transitions. - to investigate the existence of novel states of matter under the effect of a nonadiabatic monochromatic driving with no analogues in static systems.- to apply established analytical and numerical methods in order to describe AC-driven critical behavior for so far unexplored models. - to explore the use of new theoretical methods, such as an effective partition function and the geometrical phase (Berry phase), in order to analyse critical phenomena under nonequilibrium conditions.- to discuss the relevance of the results for recent state-of-the-art experiments such as Bose-Einstein condensates in optical cavities.