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Microwave Spectroscopy Reveals the Quantum Geometric Tensor of Topological Josephson Matter
R L Klees1, G Rastelli1,2, J C Cuevas3
1Fachbereich Physik, Universität Konstanz, D-78457 Konstanz, Germany.
Topological Josephson matter allows experimental access to the quantum geometric tensor of Andreev states. Synthetically polarized microwaves reveal topological quantum properties via absorption rates.
Area of Science:
- Condensed matter physics
- Quantum mechanics
- Topological matter
Background:
- Topological invariants like Chern numbers are crucial in quantum systems.
- The quantum geometric tensor offers local quantum state information but is experimentally challenging to access.
- Multiterminal Josephson junctions are emerging as controllable platforms for synthesizing topological systems.
Purpose of the Study:
- To theoretically investigate Andreev states in topological Josephson matter.
- To demonstrate a method for experimentally extracting the quantum geometric tensor of these states.
- To link observable quantities to topological quantum properties.
Main Methods:
- Theoretical study of Andreev states in topological Josephson junctions.
- Utilizing synthetically polarized microwaves for state manipulation and measurement.
- Analyzing absorption rates and oscillator strength to probe quantum geometric properties.
Main Results:
- The quantum geometric tensor of Andreev states in topological Josephson matter can be experimentally extracted.
- Synthetically polarized microwaves enable this extraction.
- Oscillator strength of absorption rates directly indicates topological quantum properties.
Conclusions:
- Topological Josephson matter provides a viable platform for probing advanced quantum phenomena.
- The proposed microwave-based method offers a new experimental pathway to characterize topological states.
- This work bridges theoretical concepts with experimental accessibility in quantum matter.
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