  Quantization effects due to topological invariants such as Chern numbers have
become very relevant in many systems, yet key quantities such as the quantum
geometric tensor providing local information about quantum states remain
experimentally difficult to access. Recently, it has been shown that
multiterminal Josephson junctions constitute an ideal platform to synthesize
topological systems in a controlled manner. We theoretically study properties
of Andreev states in topological Josephson matter and demonstrate that the
quantum geometric tensor of Andreev states can be extracted by synthetically
polarized microwaves. The oscillator strength of the absorption rates provides
direct evidence of topological quantum properties of the Andreev states.
