Parametric Amplification in a Superconducting Microstrip Transmission Line

Shan, Wenlei; Sekímoto, Yutaro; Noguchi, Takashi

doi:10.1109/tasc.2016.2555914

Cited by 23 publications

(22 citation statements)

References 19 publications

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“…Future design procedures of superconducting MTL/CPW can utilize this analysis routine to reduce the time and resources spent on empirical characterisations. Calculations of characteristic impedances could be used in computer-aided design packages, and could benefit systems that require impedance matching; calculations of loss tangents allow predictions on transmission line sensitivity; calculations of series impedances and shunt admittances allow modelling of transmission line systems via telegrapher's equations, for example, in parametric amplifier simulations [44].…”

Section: Discussionmentioning

confidence: 99%

Electromagnetic models for multilayer superconducting transmission lines

Zhao¹,

Withington²,

Goldie³

et al. 2018

Supercond. Sci. Technol.

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Thin-film superconducting transmission lines play important roles in many signal transmission and detection systems, including qubit coupling and read-out schemes, electron spin resonance systems, parametric amplifiers, and various ultra high sensitivity detectors. Here we present a rigorous method for computing the electromagnetic behaviour of superconducting microstrip transmission lines and coplanar waveguides. Our method is based on conformal mapping, and is suitable for both homogeneous superconductors and proximity-coupled multilayers. We also present an effective conductivity approximation of multilayers, thereby allowing the multilayers to be analysed using existing electromagnetic design software. We compute the numerical results for Al-Ti bilayers and discuss the validity of our full computation and homogeneous approximation.

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Section: Discussionmentioning

confidence: 99%

Electromagnetic models for multilayer superconducting transmission lines

Zhao¹,

Withington²,

Goldie³

et al. 2018

Supercond. Sci. Technol.

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“…Here ξ refers to the coherence length of the material. For superconducting strips with w on the order of a few microns [2, [38][39][40], it is useful to determine the range of current within which the Usadel equations treatment of the supercurrent is valid. To this end, we have performed an experiment measuring the T c of a superconducting strip for a given supercurrent I.…”

Section: Critical Temperature Experimentsmentioning

confidence: 99%

Nonlinear Properties of Supercurrent-Carrying Single- and Multi-Layer Thin-Film Superconductors

et al. 2020

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Superconducting thin-films are central to the operation of many kinds of quantum sensors and quantum computing devices: Kinetic Inductance Detectors (KIDs), Travelling-Wave Parametric Amplifiers (TWPAs), Qubits, and Spin-based Quantum Memory elements. In all cases, the nonlinearity resulting from the supercurrent is a critical aspect of behaviour, either because it is central to the operation of the device (TWPA), or because it results in non-ideal second-order effects (KID).Here we present an analysis of supercurrent carrying superconducting thin-films that is based on the generalized Usadel equations. Our analysis framework is suitable for both homogeneous and multilayer thin-films, and can be used to calculate the resulting density of states, superconducting transition temperature, superconducting critical current, complex conductivities, complex surface impedances, transmission line propagation constants, and nonlinear kinetic inductances in the presence of supercurrent. Our analysis gives the scale of kinetic inductance nonlinearity (I*) for a given material combination and geometry, and is important in optimizing the design of detectors and amplifiers in terms of materials, geometries, and dimensions.To investigate the validity of our analysis across a wide range of supercurrent, we have measured the transition temperatures of superconducting thin-films as a function of DC supercurrent. These measurements show good agreement with our theoretical predictions in the experimentally relevant range of current values.

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“…In contrast, microstrip lines can be tightly meandered across a chip with little affect on performance, and su-perconducting microstrip lines with thin, deposited dielectrics have been used at millimeter and submillimeter wavelengths. On the other hand, the use of a deposited dielectric film potentially introduces two-level system loss [10,11].…”

Section: Introductionmentioning

confidence: 99%

Nonlinearity and wideband parametric amplification in an NbTiN microstrip transmission line

Shu,

Klimovich,

Eom

et al. 2021

Preprint

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The nonlinear response associated with the current dependence of the superconducting kinetic inductance was studied in capacitively shunted NbTiN microstrip transmission lines. It was found that the inductance per unit length of one microstrip line could be changed by up to 20% by applying a DC current, corresponding to a single pass time delay of 0.7 ns. To investigate nonlinear dissipation, Bragg reflectors were placed on either end of a section of this type of transmission line, creating resonances over a range of frequencies. From the change in the resonance linewidth and amplitude with DC current, the ratio of the reactive to the dissipative response of the line was found to be 788. The low dissipation makes these transmission lines suitable for a number of applications that are microwave and millimeter-wave band analogues of nonlinear optical processes. As an example, by applying a millimeter-wave pump tone, very wide band parametric amplification was observed between about 3 and 34 GHz. Use as a current variable delay line for an on-chip millimeter-wave Fourier transform spectrometer is also considered.

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Parametric Amplification in a Superconducting Microstrip Transmission Line

Cited by 23 publications

References 19 publications

Electromagnetic models for multilayer superconducting transmission lines

Electromagnetic models for multilayer superconducting transmission lines

Nonlinear Properties of Supercurrent-Carrying Single- and Multi-Layer Thin-Film Superconductors

Nonlinearity and wideband parametric amplification in an NbTiN microstrip transmission line

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