Abstract
This work reports an analysis of the anti-parity-time (APT) symmetry system produced by pure dissipative coupled passive electric oscillators. Through spectral and time-domain measurements, the complex eigenfrequencies of the APT-symmetric system were measured. Interesting physics, such as exceptional points, APT-symmetry breaking transitions, and frequency synchronization with explicitly defined phase differences, were observed. Most importantly, we found that synchronous signals span the equator of the Bloch sphere. Therefore, our methodology functions as an analogon understructure to explore APT-symmetric systems.
Highlights
Ubjected to [PT, H] = 0 (PT-symmetry) exhibit energy level transitions from purely real to complex conjugate spectra at a critical threshold
A later microwave cavity magnonic experiment shows that exceptional points (EPs) can still be realized even though the eigenmodes always dwell in a lossy system
This work aims at linking the time and frequency domain response of synchronized oscillators in an ATP-symmetric system
Summary
This work aims at linking the time and frequency domain response of synchronized oscillators in an ATP-symmetric system. With the analogy between the coupled oscillators and a binary system, the state vectors were plotted on the Bloch sphere. The locus on the Bloch sphere reveals a distinct frequency synchronized zone enclosed by two EPs. the proposed circuit contains two RLC oscillators coupled through a resistor (Rpot) in the middle.
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