Scattering coefficients of superconducting microwave resonators. I. Transfer matrix approach

Chen, Qiming; Pfeiffer, Meike; Partanen, Matti; Fesquet, Florian; Honasoge, Kedar; Kronowetter, Fabian; Nojiri, Yuki; Renger, Michael; Fedorov, Kirill G.; Marx, Achim; Deppe, Frank; Gross, Rudolf

doi:10.1103/physrevb.106.214505

Cited by 11 publications

(4 citation statements)

References 69 publications

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“…This aspect will be taken into account especially when designing large-scale arrays. The kinetic inductance L k also impacts, as expected, on the frequency resonance f r0 = 1/(2π (L k + L geo )C) whereas Q c0 depends on f r0 as Q c0 ∝ 1/f 2 r0 for microwave resonators [12].…”

Section: Simulationsupporting

confidence: 66%

Development of TiN-Based Suspended Meander Kinetic Inductance Detectors (KIDs) for Visible and Near-Infrared Astronomy Applications

Appavou,

Ribeiro,

Nicaise

et al. 2023

Preprint

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We propose high-Q factors sub-stoichiometric TiN-based Lumped Element MKIDs on sapphire with vacuum gap suspended meander. The aim is to improve detector response by trapping phonons within the meander to increase the number of Cooper pairs breaking into quasiparticles. Furthermore, either Nb/Au or Nb/Al reflective thin bilayer can be placed beneath \textcolor{black}{the meander} to respectively improve the photon peak absorption at the near-infrared and visible wavelengths.

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Section: Simulationsupporting

confidence: 66%

Development of TiN-Based Suspended Meander Kinetic Inductance Detectors (KIDs) for Visible and Near-Infrared Astronomy Applications

Appavou,

Ribeiro,

Nicaise

et al. 2023

Preprint

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“…The in-situ tunable Duffing oscillator consists of a 7.2 mm long necklace-type resonator with an asymmetric DC-SQUID embedded in the middle 23 , 24 , 36 (See Supplementary Fig. 1) .…”

Section: Methodsmentioning

confidence: 99%

Quantum behavior of the Duffing oscillator at the dissipative phase transition

et al. 2023

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The non-deterministic behavior of the Duffing oscillator is classically attributed to the coexistence of two steady states in a double-well potential. However, this interpretation fails in the quantum-mechanical perspective which predicts a single unique steady state. Here, we measure the non-equilibrium dynamics of a superconducting Duffing oscillator and experimentally reconcile the classical and quantum descriptions as indicated by the Liouvillian spectral theory. We demonstrate that the two classically regarded steady states are in fact quantum metastable states. They have a remarkably long lifetime but must eventually relax into the single unique steady state allowed by quantum mechanics. By engineering their lifetime, we observe a first-order dissipative phase transition and reveal the two distinct phases by quantum state tomography. Our results reveal a smooth quantum state evolution behind a sudden dissipative phase transition and form an essential step towards understanding the intriguing phenomena in driven-dissipative systems.

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“…To extract the capacitance of the heterostructure, the data is fitted with the scattering coefficients S 21 of a capacitively coupled λ/2 CPW cavity, which can be written as normalS 21 = 2 A + B / Z 0 + C Z 0 + D + b where A , B , C , and D are the elements of the transmission matrix or ABCD matrix A = cosh ( γ l ) + sinh ( γ l ) j ω C 1 Z 0 B = sinh ( γ l ) ( Z 0 − 1 ω 2 C 1 C 2 Z 0 ) + cosh ( γ l ) ( 1 j ω C 1 + 1 j ω C 2 ) C = sinh ( γ l ) Z<...…”

mentioning

confidence: 99%

“…To extract the capacitance of the heterostructure, the data is fitted with the scattering coefficients S 21 of a capacitively coupled λ/2 CPW cavity, which can be written as where A , B , C , and D are the elements of the transmission matrix or ABCD matrix where l is the length of the transmission line, γ = α + j β is the complex propagation constant of the microwave field, Z 0 is the characteristic impedance of the transmission line. For λ/2 cavity β l = π + π(ω – ω 0 )/ω 0 , where ω 0 is the bare resonant frequency and α l = π/(2 Q i ), where Q i is the internal quality factor of the cavity.…”

mentioning

confidence: 99%

Superconducting Cavity-Based Sensing of Band Gaps in 2D Materials

Maji,

Sarkar,

Mandal

et al. 2024

Nano Lett.

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The superconducting coplanar waveguide (SCPW) cavity plays an essential role in various areas like superconducting qubits, parametric amplifiers, radiation detectors, and studying magnon-photon and photon-phonon coupling. Despite its wideranging applications, the use of SCPW cavities to study various van der Waals 2D materials has been relatively unexplored. The resonant modes of the SCPW cavity exquisitely sense the dielectric environment. In this work, we measure the charge compressibility of bilayer graphene coupled to a half-wavelength SCPW cavity.Our approach provides a means to detect subtle changes in the capacitance of the bilayer graphene heterostructure, which depends on the compressibility of bilayer graphene, manifesting as shifts in the resonant frequency of the cavity. This method holds promise for exploring a wide class of van der Waals 2D materials, including transition metal dichalcogenides (TMDs) and their moire, where DC transport measurement is challenging.

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Scattering coefficients of superconducting microwave resonators. I. Transfer matrix approach

Cited by 11 publications

References 69 publications

Development of TiN-Based Suspended Meander Kinetic Inductance Detectors (KIDs) for Visible and Near-Infrared Astronomy Applications

Development of TiN-Based Suspended Meander Kinetic Inductance Detectors (KIDs) for Visible and Near-Infrared Astronomy Applications

Quantum behavior of the Duffing oscillator at the dissipative phase transition

Superconducting Cavity-Based Sensing of Band Gaps in 2D Materials

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