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arXiv:2111.01115 · Physical Review Applied

Magnetic Field Resilience of Three-Dimensional Transmons with Thin-Film Al/AlO x / Al Josephson Junctions Approaching 1 T

Jonas Krause, Christian Dickel, Elmore Vaal, Michel Vielmetter, Junya Feng, R. Bounds, Gianluigi Catelani, J. M. Fink, Yoichi Ando

Published Mar 11, 2022• 28 citations
arXivHTMLPDF

Abstract

Magnetic-field-resilient superconducting circuits enable sensing applications and hybrid quantum computing architectures involving spin or topological qubits and electromechanical elements, as well as studying flux noise and quasiparticle loss. We investigate the effect of in-plane magnetic fields up to 1 T on the spectrum and coherence times of thin-film three-dimensional aluminum transmons. Using a copper cavity, unaffected by strong magnetic fields, we can probe solely the effect of magnetic fields on the transmons. We present data on a single-junction and a superconducting-quantum-interference-device (SQUID) transmon that are cooled down in the same cavity. As expected, the transmon frequencies decrease with increasing field, due to suppression of the superconducting gap and a geometric Fraunhofer-like contribution. Nevertheless, the thin-film transmons show strong magnetic field resilience: both transmons display microsecond coherence up to at least 0.65 T, and ${T}_{1}$ remains above $1\phantom{\rule{0.2em}{0ex}}\ensuremath{\mu}\text{s}$ over the entire measurable range. SQUID spectroscopy is feasible up to 1 T, the limit of our magnet. We conclude that thin-film aluminum Josephson junctions are suitable hardware for superconducting circuits in the high-magnetic-field regime.

DOI
10.1103/physrevapplied.17.034032

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•May 18, 2021•0 citations
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Flux-tunable transmon incorporating a van der Waals superconductor via an Al/AlOx_xx​/4Hb-TaS2_22​ Josephson junction
Incorporating van der Waals (vdW) superconductors into Josephson elements extends circuit-QED beyond conventional Al/AlOx_xx​/Al tunnel junctions and enables microwave probes of unconventional condensates and subgap excitations. In this work, we realize a flux-tunable transmon whose nonlinear inductive element is an Al/AlOx_xx​/4Hb-TaS2_22​ Josephson junction. The tunnel barrier is formed by sequential deposition and full in-situ oxidation of ultrathin Al layers on an exfoliated 4Hb-TaS2_22​ flake, followed by deposition of a top Al electrode, yielding a robust, repeatable hybrid junction process compatible with standard transmon fabrication. Embedding the device in a three-dimensional copper cavity, we observe a SQUID-like flux-dependent spectrum that is quantitatively reproduced by a standard dressed transmon--cavity Hamiltonian, from which we extract parameters in the transmon regime. Across measured devices we obtain sub-microsecond energy relaxation (T1T_1T1​ from 0.080.080.08 to 0.69 μ0.69~μ0.69 μs), while Ramsey measurements indicate dephasing faster than our 161616 ns time resolution. We also find a pronounced discrepancy between the Josephson energy inferred from spectroscopy and that expected from the Ambegaokar--Baratoff relation using room-temperature junction resistances, pointing to nontrivial junction physics in the hybrid Al/AlOx_xx​/4Hb-TaS2_22​ system. Although we do not resolve material-specific subgap modes in the present geometry, this work establishes a practical route to integrating 4Hb-TaS2_22​ into coherent quantum circuits and provides a baseline for future edge-sensitive designs aimed at enhancing coupling to boundary and subgap degrees of freedom in vdW superconductors.
I discuss the design, fabrication and measurement at millikelvin-temperatures of Al/AlOx_xx​/Al Josephson junction-based transmon qubits coupled to superconducting thin-film lumped element microwave resonators made of aluminum on sapphire. The resonators had a center frequency of around 6 6\,6GHz, and a total quality factor ranging from 15,000 to 70,000 for the various devices. The area of the transmon junctions was about 150 nm×150 nm150\, \mathrm{nm} \times 150\, \mathrm{nm}150nm×150nm and with Josephson energy EJE_JEJ​ such that 10 GHz≤EJ/h≤30 10\,\text{GHz} \leq E_J / h \leq 30\,10GHz≤EJ​/h≤30GHz. The charging energy of the transmons arising mostly from the large interdigital shunt capacitance, was Ec/h≈300 E_c / h \approx 300\,Ec​/h≈300MHz. I present microwave spectroscopy of the devices in the strongly dispersive regime of circuit quantum electrodynamics. In this limit the ac Stark shift due to a single photon in the resonator is greater than the linewidth of the qubit transition. When the resonator is driven coherently using a coupler tone, the transmon spectrum reveals individual ``photon number'' peaks, each corresponding to a single additional photon in the resonator. Using a weighted average of the peak heights in the qubit spectrum, I calculated the average number of photons nˉ\bar{n}nˉ in the resonator. I also observed a nonlinear variation of nˉ\bar{n}nˉ with the applied power of the coupler tone PrfP_{rf}Prf​. I studied this nonlinearity using numerical simulations and found good qualitative agreement with data. In the absence of a coherent drive on the resonator, a thermal population of 5.474 5.474\,5.474GHz photons in the resonator, at an effective temperature of 120 120\,120mK resulted in a weak n=1n=1n=1 thermal photon peak in the qubit spectrum. In the presence of independent coupler and probe tones, the n=1n=1n=1 thermal photon peak revealed an Autler-Townes splitting. The observed effect was explained accurately using the four lowest levels of the dispersively dressed Jaynes-Cummings transmon-resonator system, and numerical simulations of the steady-state master equation for the coupled system. I also present time-domain measurements on transmons coupled to lumped-element resonators. From T1T_1T1​ and Rabi oscillation measurements, I found that my early transmon devices (called design LEv5) had lifetimes (T1∼1 μT_1 \sim 1\,\muT1​∼1μs) limited by strong coupling to the 50 Ω50\,\Omega50Ω transmission line. This coupling was characterized by the the rate of change of the Rabi oscillation frequency with the change in the drive voltage (dfRabi /dV\mathrm{d}f_{Rabi}\, / \mathrm{d}VdfRabi​/dV) -- also termed the Rabi coupling to the drive. I studied the design of the transmon-resonator system using circuit analysis and microwave simulations with the aim being to reduce the Rabi coupling to the drive. By increasing the resonance frequency of the resonator ωr/2π\omega_r/2\piωr​/2π from 5.4 \,GHz to 7.2 \,GHz, lowering the coupling of the resonator to the transmission line and thereby increasing the external quality factor QeQ_eQe​ from 20,000 to 70,000, and reducing the transmon-resonator coupling g/2πg/2\pig/2π from 70 \,MHz to 40 \,MHz, I reduced the Rabi coupling to the drive by an order of magnitude (∼\sim∼ factor of 20). The T1∼4 μT_1 \sim 4\,\muT1​∼4μs of devices in the new design (LEv6) was longer than that of the early devices, but still much shorter than the lifetimes predicted from Rabi coupling, suggesting the presence of alternative sources of noise causing qubit relaxation. Microwave simulations and circuit analysis in the presence of a dielectric loss tangent tan⁡δ≃5×10−6\tan \delta \simeq 5\times10^{-6}tanδ≃5×10−6 agree reasonably well with the measured T1T_1T1​ values, suggesting that surface dielectric loss may be causing relaxation of transmons in the new designs.
Incorporating van der Waals (vdW) superconductors into Josephson elements extends circuit-QED beyond conventional Al/AlOx/Al junctions, enabling microwave probes of unconventional condensates and subgap excitations. We realize a flux-tunable transmon whose nonlinear inductive element is an Al/AlOx/4Hb-TaS2 Josephson junction, with a tunnel barrier formed by full in situ oxidation of ultrathin Al layers on an exfoliated 4Hb-TaS2 flake in a process compatible with standard transmon fabrication. In a three-dimensional copper cavity, the device shows a SQUID-like flux-dependent spectrum that is well reproduced by a dressed transmon–cavity Hamiltonian in the transmon regime. We measure sub-microsecond energy relaxation (T1=0.08–0.69 μs), while Ramsey measurements indicate dephasing faster than our 16 ns resolution. A naive Ambegaokar–Baratoff comparison using room-temperature junction resistances gives a suppressed effective energy scale; however, cross-sectional TEM reveals an amorphous region at the TaS2 interface, most likely produced by the pre-deposition ion-milling step. We therefore attribute the suppressed EJRn product primarily to a non-ideal hybrid interface. This work demonstrates the integration of 4Hb-TaS2 into a circuit-QED device and establishes an interface-optimization baseline for future edge-sensitive designs targeting boundary and subgap degrees of freedom in vdW superconductors.
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