We studied in detail the problem of periodically driven Bardeen-Cooper-Shrieffer (BCS) systems for a large range of parameters and different driving mechanisms. We found robust and intriguing dynamical phases including time crystals, synchronised oscillations, Rabi type modes and highly symmetric gapless responses. On top of that we demonstrated the emergence of parametric resonances in the phase diagram and identified the key ingredients giving rise to this phenomenon, nonlinearities and many body interactions. This work gave rise to 2 publications in Physical Review Research, one paper as a Letter and another one as a regular article.
We revisited the problem of sudden quench in the pairing interaction of BCS systems and extended the analysis to include critical excitations and different density of states (which is also a key parameter modulating the superconducting properties). We realised that synchronized Higgs oscillations can be generated on demand by engineering the spectral singularities of the system. In this way we have significantly advanced in the understanding of Higgs dynamics and its stabilisation in these superconducting systems.
In the last stage of the Action we explored echo phenomenon and quantum control of fermionics superfluids. We have started a collaboration with an experimental group of the University of Hamburg to test our predictions.
The main results have been presented in several international conferences and different groups.
In addition, in collaboration with plastic artist Herman Normoid we realized five artworks using a graffiti technique which were inspired by the results of the project. The artwork together with a video and didactic explanations of the science involved were presented in an art exhibition patronised by Rome city in Cassina delle Civette, a city museum in Villa Torlonia, Rome.
