Hyeonseok Yang

Geometric Phases of a Driven Qubit: Comparing Berry and Uhlmann Holonomies

The Berry phase arises naturally from the adiabatic dynamics of a pure quantum state, whereas the Uhlmann phase is usually formulated kinematically for a prescribed path of mixed states. For a qubit subject to a uniformly gapped conical drive, we obtain the Uhlmann connection and holonomy in closed form for the equilib...