Gralmonium: Granular Aluminum Nano-Junction Fluxonium Qubit

Abstract: Mesoscopic Josephson junctions (JJs), consisting of overlapping superconducting electrodes separated by a nanometer thin oxide layer, provide a precious source of nonlinearity for superconducting quantum circuits and are at the heart of state-of-the-art qubits, such as the transmon and fluxonium. Here, we show that in a fluxonium qubit the role of the JJ can also be played by a lithographically defined, self-structured granular aluminum (grAl) nano-junction: a superconductor-insulator-superconductor (SIS) JJ obtained in a single layer, zero-angle evaporation. The measured spectrum of the resulting qubit, which we nickname gralmonium, is indistinguishable from the one of a standard fluxonium qubit. Remarkably, the lack of a mesoscopic parallel plate capacitor gives rise to an intrinsically large grAl nano-junction charging energy in the range of tens of $\mathrm{GHz}$, comparable to its Josephson energy $E_\mathrm{J}$. We measure average energy relaxation times of $T_1=10\,\mathrm{\mu s}$ and Hahn echo coherence times of $T_2^\text{echo}=9\,\mathrm{\mu s}$. The exponential sensitivity of the gralmonium to the $E_\text{J}$ of the grAl nano-junction provides a highly susceptible detector. Indeed, we observe spontaneous jumps of the value of $E_\text{J}$ on timescales from milliseconds to days, which offer a powerful diagnostics tool for microscopic defects in superconducting materials.