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arXiv:2606.28901

Characterization of the RF Board for microwave SQUID multiplexing readout electronics

Junbo Wang, Jianing Dong, Zhekai Cheng, Xiangxiang Ren

Published Jun 27, 2026• 0 citations
arXivHTMLPDF

Abstract

Microwave SQUID multiplexing ($μ$MUX) is a widely used readout technique for large-scale transition-edge sensor (TES) arrays. It uses radio-frequency (RF) probe tones to interrogate cryogenic resonators, requiring frequency conversion between the baseband electronics and the cryogenic RF signal chain. This work describes the RF Board, a room-temperature frequency-conversion board deployed in the AliCPT $μ$MUX readout system. The board up-converts 0-4 GHz baseband I/Q signals to the 4-8 GHz RF band for injection into the cryogenic chain and down-converts returned RF signals to baseband I/Q for ADC digitization. For the current 1000-tone operation, with a DAC output tone power of -30 dBm/tone, the required power windows are -35 to -25 dBm/tone for the RF tones transmitted to the cryostat and -45 to -35 dBm/tone at the ADC input for the returned tones. The RF Board is characterized using swept single-tone measurements covering up-conversion, down-conversion, and RF loopback. Based on these measurements, the RF output power is calculated to be -31.06 to -25.53 dBm, satisfying the RF output window. Assuming a representative cryogenic-chain transmission of -40 dB, the loopback result gives an estimated returned power of -45 to -35 dBm, within the target range. These results show that the RF Board meets the wideband frequency-conversion and tone-power requirements for the $μ$MUX readout system.

DOI
10.48550/arxiv.2606.28901

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Microwave SQUID multiplexing (μμμMUX) is a widely used readout technique for large-scale transition-edge sensor (TES) arrays. It uses radio-frequency (RF) probe tones to interrogate cryogenic resonators, requiring frequency conversion between the baseband electronics and the cryogenic RF signal chain. This work describes the RF Board, a room-temperature frequency-conversion board deployed in the AliCPT μμμMUX readout system. The board up-converts 0-4 GHz baseband I/Q signals to the 4-8 GHz RF band for injection into the cryogenic chain and down-converts returned RF signals to baseband I/Q for ADC digitization. For the current 1000-tone operation, with a DAC output tone power of -30 dBm/tone, the required power windows are -35 to -25 dBm/tone for the RF tones transmitted to the cryostat and -45 to -35 dBm/tone at the ADC input for the returned tones. The RF Board is characterized using swept single-tone measurements covering up-conversion, down-conversion, and RF loopback. Based on these measurements, the RF output power is calculated to be -31.06 to -25.53 dBm, satisfying the RF output window. Assuming a representative cryogenic-chain transmission of -40 dB, the loopback result gives an estimated returned power of -45 to -35 dBm, within the target range. These results show that the RF Board meets the wideband frequency-conversion and tone-power requirements for the μμμMUX readout system.
The next generation of cryogenic CMB and submillimeter cameras under development require densely instrumented sensor arrays to meet their science goals. The readout of large numbers (~10,000-100,000 per camera) of sub-Kelvin sensors, for instance as proposed for the CMB-S4 experiment, will require substantial improvements in cold and warm readout techniques. To reduce the readout cost per sensor and integration complexity, efforts are presently focused on achieving higher multiplexing density while maintaining readout noise subdominant to intrinsic detector noise and presenting manageable thermal loads. Highly-multiplexed cold readout technologies in active development include Microwave Kinetic Inductance Sensors (MKIDs) and microwave rf-SQUIDs. Both exploit the high quality factors of superconducting microwave resonators to densely channelize sub-Kelvin sensors into the bandwidth of a microwave transmission line. In the case of microwave SQUID multiplexing, arrays of transition-edge sensors (TES) are multiplexed by coupling each TES to its own superconducting microwave resonator through an rf-SQUID. We present advancements in the development of a new warm readout system for microwave SQUID multiplexing, the SLAC Superconducting Microresonator RF electronics, or SMuRF, by adapting SLAC National Accelerator Laboratory's Advanced Telecommunications Computing Architecture (ATCA) FPGA Common Platform. SMuRF aims to read out 4000 microwave SQUID channels between 4 and 8 GHz per RF line. Each compact SMuRF system is built onto a single ATCA carrier blade. Daughter boards on the blade implement RF frequency-division multiplexing using FPGAs, fast DACs and ADCs, and an analog up- and down-conversion chain. The system reads out changes in flux in each resonator-coupled rf-SQUID by monitoring the change in the transmitted amplitude and frequency of RF tones produced at each resonator's fundamental frequency. The SMuRF system is unique in its ability to track each tone, minimizing the total RF power required to readout each resonator, thereby significantly reducing the linearity requirements on the cold and warm readout. Here, we present measurements of the readout noise and linearity of the first full SMuRF system, including a demonstration of closed-loop tone tracking on a 528 channel cryogenic microwave SQUID multiplexer. SMuRF is being explored as a potential readout solution for a number of future CMB projects including Simons Observatory, BICEP Array, CCAT-prime, Ali-CPT, and CMB-S4. In addition, parallel development of the platform is underway to adapt SMuRF to read out both MKID and fast X-ray TES calorimeter arrays.
Transition Edge Sensors (TESs) are highly sensitive cryogenic detectors widely used in astronomy, high-energy physics and nuclear radiation detection. As TES is increasingly deployed in large-scale arrays to improve sensitivity and effective collecting area, multiplexed readout becomes essential for reducing system complexity. Microwave SQUID multiplexing (μMUX) technology combining superconducting resonators with radio-frequency superconducting quantum interference devices (RF-SQUIDs), represents a state-of-the-art solution. In this work, a room-temperature readout prototype for TES μMUX readout was designed. The system features a scalable two-stage architecture, including a highly integrated, chassis-independent front-end signal processing module and back-end event-reconstruction module. A high-frequency-resolution frequency-comb signal generation method with real-time, per-tone frequency and phase tunability was developed. In addition, optimization of the firmware implementation effectively overcomes the computational-resource bottleneck of the Field Programmable Gate Array (FPGA). The prototype supports autonomous frequency sweeping, parameter diagnostics, and online event reconstruction. Self-test shows S 21 phase noise better than −110 dBc/Hz at −30 dBm, remaining stable with increasing channel count. Joint tests with a μMUX cryogenic system successfully captured the RF-SQUID response and achieved an equivalent noise current of 44 pA/√Hz referred to the TES, validating the prototype as a practical solution of the room-temperature system for TES μMUX readout.
In this work, we report the experimental readout results of aµµµMUX device using a Direct-RF Software-Defined Radio (SDR) prototype based on the ZCU216 Radio-Frequency System-on-Chip (RFSoC) evaluation board. First, the Direct-RF SDR architecture is described. Then, the analog performance of the SDR system was characterized both in loopback and when coupled to the cryogenic multiplexing system to evaluate the noise contributions of the SDR readout system. Later, the SDR system performance was optimized forµµµMUX readout, focusing on bolometric applications. Finally, the minimum demodulated flux noise was obtained through the optimally conditioned readout of aµµµMUX channel. The results obtained showed a minimum demodulated white flux noise of≈4μΦ0/Hz\approx 4 \mu \Phi _{0}/\sqrt{Hz}≈4μΦ0​/Hz​in both demodulation domains (i.e. amplitudeγ\gammaγand resonator phaseθ\thetaθ) and dominated by the cryogenic microwave chain noise temperature ofTncryo=4.6T_{n}^{cryo}=4.6Tncryo​=4.6K. These results are comparable to those obtained with traditional SDR architectures and demonstrate that the Direct-RF SDR prototype is suitable for the readout ofµµµMUX devices.
Abstract A microwave SQUID multiplexer ( μ MUX) with a high multiplexing factor is a promising readout approach for large-scale superconducting transition-edge sensor (TES) bolometer arrays. This paper reports on the characteristics of 16-channel μ MUX prototype chips and a 60-channel readout module developed to read out TES bolometers for the Ali cosmic microwave background polarization telescope (AliCPT). We designed two different coupling structures between the resonator and the radio-frequency superconducting interference device: design A with a mutual inductance ( M T ) of 2.3 pH and design B with an M T of 6.5 pH. For design A, the mean resonator bandwidth ( Δ f BW ) and peak-to-peak frequency shift ( Δ f pp ) are approximately 610 kHz and 290 kHz, respectively. The measured mean open-loop current noise is less than 40 pA / Hz . Preliminary results indicate that crosstalk between adjacent channels is below 1% in our design A μ MUX chip. A measured channel with design B shows a Δ f BW of 586 kHz and a current noise of 33 pA / Hz , similar to the design A channels. In comparison, the Δ f pp of 803 kHz is much larger than the design A channels due to a larger M T . The readout module, consisting of two design A chips and two design B chips, shows 60 resonances, corresponding to a yield of 94%. In the future, we will place 32 design A channels within the same chip dimension to increase the channel density and build a larger readout module suitable for AliCPT TES arrays.
Dissipationless microwave radio frequency superconducting interference device (RF-SQUID) multiplexers are attractive for readouts of large format arrays of transition edge sensors (TES). This multiplexer has the potential for readout bandwidth of several GHz and power consumption of ≈0.1 pW per pixel, which are ≈103 and ≈10-4 times as large as those of DC-SQUID-based conventional multiplexers. To evaluate their readout performance for TES photon counters ranging from near infrared to gamma ray, white noise of this multiplexer was experimentally studied at 4 K. The reason for this was, firstly, to avoid the low-frequency fluctuation obvious at around 0.1 K but trivial for the energy resolution of photon counters, and secondly for a feasibility study of readout operation at 4 K for extended applications. To increase resonant Q at 4 K and maintain low-noise SQUID operation, multiplexer chips consisting of niobium nitride (NbN)-based coplanar-waveguide resonators and niobium (Nb)-based RF-SQUIDs have been developed. This hybrid multiplexer exhibited 1×104≤QI≤2×104 and the square root of spectral density of current noise referred to the SQUID input √SI =31 pA/√Hz, where QI is the internal Q of resonators. The former and the latter are factor-of-five and seven improvements from our previous results on Nb-based resonators, respectively. Systematic noise measurement with various microwave readout power PMR and two-directional readout on the complex plane of transmission component of scattering matrix S21 makes the contribution of each noise source obvious. By decreasing these noises to the degree achievable by current technology, we predicted the microwave RF-SQUID multiplexer would exhibit √SI ≤5 pA/√Hz; i.e., close to √SI of state-of-the-art DC-SQUID-based multiplexers.
Abstract We present the design, fabrication, and characterization of an aluminum-based six-channel microwave SQUID multiplexer ( μ MUX) prototype for transition-edge sensor readout in the Ricochet experiment. The device consists of aluminum coplanar-waveguide resonators and RF superconducting quantum interference devices with Dolan-style Al/AlO x /Al Josephson junctions. By measuring the resonator scattering parameters at a range of probe tone frequencies, powers, and flux bias points, we demonstrate agreement between the device response and existing multiplexer models. We also characterize the noise performance in both open-loop and flux-ramping modes. With a high electron mobility transistor (HEMT) amplifier, open-loop measurements yield a flux sensitivity of 1–1.5 μ Φ 0 / Hz . With flux-ramp modulation, low-frequency 1 / f noise is suppressed, and the flux sensitivity is around 3–4 μ Φ 0 / Hz , corresponding to a current sensitivity of 24–33 pA / Hz at the input coil. We further demonstrate a reduction in readout noise by incorporating a Josephson traveling-wave parametric amplifier between the μ MUX and the HEMT. This achieves an open-loop flux sensitivity of 0.3–0.6 μ Φ 0 / Hz and an effective system noise temperature below 1K. These results establish aluminum μ MUX devices as a viable and extensible readout technology for low-noise cryogenic detector arrays.