Geometric driving of two-level quantum systems

The authors investigate a class of cyclic evolutions for driven two-level quantum systems to unveil a geometric resource of the driving field. The paper presents a series of physical platforms to prove how the geometric control of the quantum phases can be realized for paradigmatic pendular field drivings. This includes experimentally feasible setups based on superconducting islands coupled to a Josephson junction and inversion asymmetric nanochannels with tailored geometric shapes.