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Pinch resonances in a radio-frequency-driven superconducting-quantum-interference-device ring-resonator system
H Prance1, T D Clark, R Whiteman
1Physical Electronics Group, School of Engineering and Information Technology, University of Sussex, Brighton, Sussex BN1 9QT, United Kingdom.
Summary
This study investigates the frequency response of a superconducting quantum interference device (SQUID) ring coupled to a resonator. Researchers observed unique "pinch off" bifurcations in the resonance line shape under specific conditions.
Area of Science:
- Physics
- Electrical Engineering
- Quantum Computing
Background:
- Superconducting Quantum Interference Devices (SQUIDs) are sensitive magnetic flux detectors.
- The frequency domain response of coupled SQUID-resonator systems is crucial for device applications.
- Understanding nonlinear dynamics in SQUID circuits is essential for advanced quantum technologies.
Purpose of the Study:
- To experimentally investigate the frequency domain response of a SQUID ring coupled to a radio frequency (RF) tank circuit resonator.
- To analyze the emergence of nonlinear phenomena, specifically opposed fold bifurcations, in the coupled system.
- To demonstrate the theoretical basis for observed "pinch off" line shapes.
Main Methods:
- Experimental measurements of the frequency response of a SQUID-resonator system.
- Utilizing a weakly hysteretic SQUID ring configuration.
- Analysis of nonlinear equations of motion governing the system's dynamics.
Main Results:
- Observed opposed fold bifurcations in the resonance line shape of the coupled SQUID-resonator system.
- Demonstrated that these bifurcations can appear to touch, forming a "pinch off" phenomenon.
- Confirmed that these pinch off line shapes are valid solutions to the system's nonlinear equations of motion for specific circuit parameters.
Conclusions:
- The coupled SQUID-resonator system exhibits complex nonlinear behavior under specific operating conditions.
- "Pinch off" phenomena in the resonance line shape are a direct consequence of the system's nonlinear dynamics.
- Experimental findings are consistent with theoretical predictions, validating the model for SQUID-resonator interactions.