2018
DOI: 10.1038/s41467-018-06386-9
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Circuit quantum electrodynamics of granular aluminum resonators

Abstract: Granular aluminum (grAl) is a promising high kinetic inductance material for detectors, amplifiers, and qubits. Here we model the grAl structure, consisting of pure aluminum grains separated by thin aluminum oxide barriers, as a network of Josephson junctions, and we calculate the dispersion relation and nonlinearity (self-Kerr and cross-Kerr coefficients). To experimentally study the electrodynamics of grAl thin films, we measure microwave resonators with open-boundary conditions and test the theoretical pred… Show more

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Cited by 130 publications
(136 citation statements)
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References 41 publications
(58 reference statements)
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“…, here P in is estimated from the output power of the vector network analyzer by taking into account the total attenuation in the cryostat (see Supplemental Material [54]). For resonator A, Q i shows an increase by a factor of 4 between n ¼ 1 and 100, reaching 6 × 10 5 before the resonator bifurcates due to its intrinsic nonlinearity [63]. Seven times larger in cross section, resonator B shows a smaller increase From FEM simulations we expect the kinetic inductance to be three orders of magnitude larger than the geometric inductance.…”
mentioning
confidence: 92%
“…, here P in is estimated from the output power of the vector network analyzer by taking into account the total attenuation in the cryostat (see Supplemental Material [54]). For resonator A, Q i shows an increase by a factor of 4 between n ¼ 1 and 100, reaching 6 × 10 5 before the resonator bifurcates due to its intrinsic nonlinearity [63]. Seven times larger in cross section, resonator B shows a smaller increase From FEM simulations we expect the kinetic inductance to be three orders of magnitude larger than the geometric inductance.…”
mentioning
confidence: 92%
“…It can therefore be tuned over a wide range, reaching values up to ∼ nH/ , while maintaining internal quality factors on the order of 10 5 in the single photon regime [51][52][53]. Moreover, the Kerr non-linearity can be reduced by orders of magnitude [54] compared to superinductors made of mesoscopic Josephson junction arrays [55], which helps to suppress the unwanted coupling between the qubit and the environment. Figure 1a) shows the equivalent circuit of the fluxonium qubit coupled to the readout resonator.…”
mentioning
confidence: 99%
“…Because reduced K eff is important to improve dynamical range, several methods have been introduced to reduce non-linearity in parametric amplifiers. One first option is to use the intrinsic non-linearity of superconductors such as Niobium [28], NbN [29] or granular Aluminium [30], since they often come with very weak nonlinearities spanning from 20 mHz to 30 kHz for resonators in the GHz range. However, these non-linearities are so weak that extremely large pump powers are required resulting in experimental challenges.…”
Section: Decreasing Non-linearity Using Arraysmentioning
confidence: 99%