Small Signal Analysis of SQUID Direct Readout Schemes

To better understand the working principles of Superconducting Quantum Interference Device (SQUID) direct readout schemes, which work in different bias and amplifier modes with different internal feedback schemes, we present the complete circuit analyses on SQUID small-signal model. SQUID bias and amplifier circuits are analyzed using SQUID Thevenin equivalent circuit, and the general equivalent circuit of SQUID with different internal feedback schemes is derived and analyzed with a trans-impedance amplifier model. Transfer characteristics and noise performances of different direct readout schemes are analyzed and experimentally characterized. It is shown that amplifier noise suppression is only dependent on SQUID flux-to-voltage transfer coefficient and is irrelevant to the configuration of bias and amplifier; SQUID with an internal feedback scheme improves the transfer coefficient with voltage feedback and regulates the dynamic resistance with current feedback.