An Analytical Calculation of the Magnetic Field Using the Biot Savart Law

Caparelli, Elisabeth C.; Tomasi, Dardo

doi:10.1590/s1806-11172001000300005

Cited by 9 publications

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“…The loop radius depends on the layer number, and the position along the coil's symmetry axis depends on the winding number, both gradually increasing by the wire diameter d ¼ 140 μm. Following the approach of Caparelli and Tomasi [59], we approximate the magnetic field components B r ð⃗ rÞ, in radial direction (parallel to the loop plane xz), and B y ð⃗ rÞ by truncating the sum after 20 terms. Figure 6(a) (bottom right) depicts the numerically calculated magnetic flux density of the HH coils as a function of the lateral position x for a bias current I coil ¼ 1 A and y ¼ 0 mm.…”

Section: Appendix A: 2d Vector Magnetmentioning

confidence: 99%

Implementation of a Transmon Qubit Using Superconducting Granular Aluminum

et al. 2020

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The high kinetic inductance offered by granular aluminum (grAl) has recently been employed for linear inductors in superconducting high-impedance qubits and kinetic inductance detectors. Because of its large critical current density compared to typical Josephson junctions, its resilience to external magnetic fields, and its low dissipation, grAl may also provide a robust source of nonlinearity for strongly driven quantum circuits, topological superconductivity, and hybrid systems. Having said that, can the grAl nonlinearity be sufficient to build a qubit? Here we show that a small grAl volume (10 × 200 × 500 nm 3) shunted by a thin film aluminum capacitor results in a microwave oscillator with anharmonicity α two orders of magnitude larger than its spectral linewidth Γ 01 , effectively forming a transmon qubit. With increasing drive power, we observe several multiphoton transitions starting from the ground state, from which we extract α ¼ 2π × 4.48 MHz. Resonance fluorescence measurements of the j0i → j1i transition yield an intrinsic qubit linewidth γ ¼ 2π × 10 kHz, corresponding to a lifetime of 16 μs, as confirmed by pulsed time-domain measurements. This linewidth remains below 2π × 150 kHz for in-plane magnetic fields up to ∼70 mT.

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Section: Appendix A: 2d Vector Magnetmentioning

confidence: 99%

Implementation of a Transmon Qubit Using Superconducting Granular Aluminum

et al. 2020

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“…The loop radius depends on the layer number and the position along the coils symmetry axis depends on the winding number, both gradually increasing by the wire diameter d = 140 µm. Following the approach of Caparelli et al [46], we approximate the magnetic field compo- The eigenfrequency and external coupling rate of the circuit to the waveguide sample holder is simulated with a commercial finite-element method simulator (HFSS -High frequency structure simulator). The inductive contribution of the granular aluminum (grAl) volume is modeled with a linear lumped-element inductor L K .…”

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confidence: 99%