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arXiv:2004.04266

Interplay between phonon downconversion efficiency, density of states at Fermi energy, and intrinsic energy resolution for microwave kinectic inductance detectors

Israel Hernandez, Gustavo I. Cancelo, Juan Estrada, Gonzalez, Humberto, Andrew Lathrop, Martı́n Makler, Chris Stoughto

Published Apr 7, 2020• 2 citations
arXivHTMLPDF

Abstract

Microwave Kinetic Inductance detectors (MKIDs) have been recognized as a powerful new tool for single photon detection. These highly multiplexed superconducting devices give timing and energy measurement for every detected photon. However, the full potential of MKID single photon spectroscopy has not been reached , the achieved energy resolution is lower than expected from first principles. Here, we study the efficiency in the phonon downconversion process following the absorption of energetic photons in MKIDs. Assuming previously published material properties, we measure an average downconversion efficiency for three TiN resonators is $η$=0.14. We discuss how this efficiency can impact the intrinsic energy resolution of MKID, and how any uncertainty in the unknown density of electron states at the Fermi energy directly affects the efficiency estimations.

DOI
10.48550/arxiv.2004.04266

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Microwave Kinetic Inductance detectors (MKIDs) have been recognized as a powerful new tool for single photon detection. These highly multiplexed superconducting devices give timing and energy measurement for every detected photon. However, the full potential of MKID single photon spectroscopy has not been reached , the achieved energy resolution is lower than expected from first principles. Here, we study the efficiency in the phonon downconversion process following the absorption of energetic photons in MKIDs. Assuming previously published material properties, we measure an average downconversion efficiency for three TiN resonators is ηηη=0.14. We discuss how this efficiency can impact the intrinsic energy resolution of MKID, and how any uncertainty in the unknown density of electron states at the Fermi energy directly affects the efficiency estimations.
On the Efficiency η\etaη and the Homogeneity of TiN Kinetic Inductance Detectors Produced through Atomic Layer Deposition
Microwave Kinetic Inductance Detectors (MKIDs) belong to non-equilibrium superconducting devices. It is a new promising device due to high quantum efficiency, low theoretical noise limit, multiplex frequency domain, photon-number-resolving, and energy resolving. In the case of MKIDs, a change in the kinetic inductance is produced by the breaking of Cooper pairs, modifying the electrodynamic response of the superconductor. The production process of an MKID consists of depositing a superconducting thin film on an insulating substrate and applying standard lithographic patterning techniques to produce a resonator structure. When an MKID is produced via sputtering, film nonuniformity is observed, producing instability, low yield, frequency collisions, and low energy resolution. We exploring film uniformity in films produced with Atomic Layer Deposition (ALD) and through ALD archive high values in the energy resolution. The uniformity of ALD is evaluated via measurement of the critical temperature of 4 MKIDs. Two MKIDs belong to the first fabrication process and the other two to another. The results obtained are: ΔTc/max(σT1,σT2) is 0.45 for A1-B1 and 0.21 for A2-B2. The difference in the Tc for MKIDs of the same wafer is around 5.1 mK and from different wafers, the maximum difference is 66 mk with a minimum of 48 mK. However, with the high uniformity archived, we obtained a poor response of the MKIDs when a photon is absorbed. As a consequence of the low response, we examined in the literature about the process of photon absorption. In this evaluation, we were focusing on the down-conversion efficiency as a possible cause for the degraded energy resolution. In this process, one part of the initial energy of the photon is lost, transferred to the creation of quasiparticles and phonons. The phonons that do not possess enough energy to break a Cooper pair are lost from the system. This loss in energy is accounted for by the eff iciency η which has a constant value reported as 0.57 (! from simulation). Due to the efficiency had been reported always as constant. We proceed to evaluate its value through a new method. The process consists of measuring the gain of the system via the photon transfer curve and thermal calibration. The efficiency obtained with this new method is of 0.008 which has a lower value in comparison with the simulation. The methods to obtain the critical temperature, as well as the new method to evaluate the efficiency of an MKID will be shown in this work.
Abstract Microwave Kinetic Inductance Detectors (MKIDs) combine significant advantages for photon detection like single photon counting, single pixel energy resolution, vanishing dark counts and µs time resolution with a simple design and the feasibility to scale up into the megapixel range. But high quality MKID fabrication remains challenging as established superconductors tend to either have intrinsic disadvantages, are challenging to deposit or require very low operating temperatures. As alternating stacks of thin Ti and TiN films have shown very impressive results for far-IR and sub-mm MKIDs, they promise significant improvements for UV, visible to near-IR MKIDs as well, especially as they are comparably easy to fabricate and control. In this paper, we present our ongoing project to adapt proximity coupled superconducting films for photon counting MKIDs. Some of the main advantages of Ti/TiN multilayers are their good control of critical temperature (Tc) and their great homogeneity of Tc even over large wafers, promising improved pixel yield especially for large arrays. We demonstrate the effect different temperatures during fabrication have on the detector performance and discuss excess phase noise observed caused by surface oxidization of exposed Si. Our first prototypes achieved photon energy resolving powers of up to 3.1 but turned out to be much too insensitive. As the work presented is still in progress, we also discuss further improvements planned for the near future.
Microwave kinetic inductance detectors (MKIDs) sensitive to light in the ultraviolet to near-infrared wavelengths are superconducting microresonators that are capable of measuring photon arrival times to microsecond precision and estimating each photon's energy. The resolving power of nonmembrane MKIDs has remained stubbornly around 10 at 1 μm despite significant improvements in the system noise. Here we show that the resolving power can be roughly doubled with a simple bilayer design without needing to place the device on a membrane, avoiding a significant increase in fabrication complexity. Based on modeling of the phonon propagation, we find that the majority of the improvement comes from the inability of high energy phonons to enter the additional layer due to the lack of available phonon states.
Microwave Kinetic Inductance Detectors (MKIDs) are superconducting photon counting detectors that simultaneously measure the energy and arrival time of individual photons and are suitable for large-format arrays. The energy resolving power R = E/ΔΔΔE is the primary figure of merit for spectrophotometric applications. It is limited in practice by the assumptions underlying the Wiener optimal filter used to estimate photon energy: stationary noise, linear response, and energy independent pulse shapes, all of which MKIDs structurally violate. We present Venom (Very Efficient Neural Optimal-filter for MKIDs), a selective state space model based on the Mamba architecture that replaces the coordinate transform and optimal filter, operating directly on raw in-phase/quadrature timestream data, carrying 3,314 trainable parameters, and targeting deployment on the MKIDGen3 and future system-on-chip readout platforms. To deal with the small calibration datasets typical of MKID experiments, we train on synthetic pulses drawn from a streaming principal component analysis that samples photon energy continuously between calibration wavelengths. All numbers are reported on a stratified 15% held-out validation set, with R measured from a kernel density estimate. On an InHf bilayer resonator (ten wavelengths, 254-1310nm), Venom reaches a mean R of 26.4 versus 24.2 for the published per-wavelength optimal filter baseline, a 9% improvement from one model in place of ten per-laser filter templates. The R of 38.6 at 254 nm is the highest ever recorded for an ultraviolet-to-near-infrared MKID suitable for use in a dense array. On a PtSi resonator (five wavelengths, 808-1310nm), where the published analysis used one shared 920nm template, Venom matches the optimal filter, with a mean R of 9.1 versus 8.8 at the three interior wavelengths.
We demonstrate photon counting at 1550 nm wavelength using microwave kinetic inductance detectors (MKIDs) made from TiN/Ti/TiN trilayer films with superconducting transition temperature Tc≈ 1.4 K. The detectors have a lumped-element design with a large interdigitated capacitor covered by aluminum and inductive photon absorbers whose volume ranges from 0.4 μm3 to 20 μm3. The energy resolution improves as the absorber volume is reduced. We achieved an energy resolution of 0.22 eV and resolved up to 7 photons per optical pulse, both greatly improved from previously reported results at 1550 nm wavelength using MKIDs. Further improvements are possible by optimizing the optical coupling to maximize photon absorption into the inductive absorber.
The surface impedance of a superconductor changes when energy is absorbed and Cooper pairs are broken to produce single electron (quasiparticle) excitations. This change may be sensitively measured using a thin-film resonant circuit called a microwave kinetic inductance detector (MKID). The practical application of MKIDs for photon detection requires a method of efficiently coupling the photon energy to the MKID. The authors present results on position sensitive x-ray detectors made by using two aluminum MKIDs on either side of a tantalum photon absorber strip. Diffusion constants, recombination times, and energy resolution are reported. MKIDs can easily be scaled into large arrays.