Frequency spectrum of a superconducting metadevice

Blackburn, James A.; Cirillo, M.; Grønbech‐Jensen, Niels

doi:10.1209/0295-5075/115/50004

Cited by 7 publications

(4 citation statements)

References 30 publications

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“…As we shall see now the analysis for T=0 of the escape process is a relevant physical background for understanding thermal excitations in the well. This is not surprising indeed because it is known that the characteristics of a nonlinear system for T=0 leads to identifying relevant phenomena [7] and it has been shown how complex can be the T=0 spectrum of "simple" nonlinear systems [16] and how anharmonic analysis of the potentials can provide account for experimental results [17].…”

Section: ) Zero Temperaturementioning

confidence: 99%

Modeling escape from a one-dimensional potential well at zero or very low temperatures

Cheng

Salina

Grønbech‐Jensen

et al. 2020

Journal of Applied Physics

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The process of activation out a one-dimensional potential is investigated systematically in zero and nonzero temperature conditions. The features of the potential are traced through statistical escape out of its wells whose depths are tuned in time by a forcing term. The process is carried out on the damped pendulum system imposing specific initial conditions on the potential variable. While for relatively high values of the dissipation the statistical properties follow a behavior that can be derived from the standard Kramers model, decreasing the dissipation we observe responses/deviations which have regular dependencies on initial conditions, temperature, and loss parameter itself. It is shown that failures of the thermal activation model are originated at low temperatures, and very low dissipation, by the initial conditions and intrinsic, namely T=0, characteristic oscillations of the potential-generated dynamical equation.

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Section: ) Zero Temperaturementioning

confidence: 99%

Modeling escape from a one-dimensional potential well at zero or very low temperatures

Cheng

Salina

Grønbech‐Jensen

et al. 2020

Journal of Applied Physics

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“…The effects of intrinsic fluctuations in JJs, which are important in determining their switching [46][47] [48], and their combined effect with the nonlinear dynamics will also be addressed as possible source of additional noise. Moreover, other schemes can be explored, for instance including two JJs in parallel in the rf-SQUID to achieve higher operation frequencies in "optical modes" [49].…”

Section: Resultsmentioning

confidence: 99%

Modeling of Josephson Traveling Wave Parametric Amplifiers

Guarcello

Avallone

Barone

et al. 2023

IEEE Trans. Appl. Supercond.

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Recent advancements in quantum technologies and advanced detection experiments have underscored the pressing need for the detection of exceedingly weak signals within the microwave frequency spectrum. Addressing this challenge, the Josephson Traveling Wave Parametric Amplifier (JTWPA) has been proposed as a cryogenic front-end amplifier capable of approaching the quantum noise limit while providing a relevant bandwidth. This research is centered on a comprehensive numerical investigation of the JTWPA, without resorting to simplifications regarding the nonlinearity of the essential components. Specifically, this study focuses on a thorough examination of the system, characterized by coupled nonlinear differential equations representing all components of the device. Proper input and output signals at the device's boundaries are considered. The analysis of the output signals undergoing the parametric amplification process involves a detailed exploration of phase-space dynamics and Fourier spectral analysis of the output voltage. This study is conducted while considering the parameters ruling the response of the device under pump and signal excitations. In addition to the expected signal amplification, the findings reveal that the nonlinear nature of the system can give rise to unforeseen phenomena, depending on the system's Manuscript receipt and acceptance dates will be inserted here.

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“…Let us consider a single-junction superconducting quantum interferometer (SQUID) with an external flux [15,16], as shown in Figure 1(a). This is also called an RF-SQUID core [18]. Taking ext as the sum of DC and AC components [16], we get the equivalent circuit shown in Figure 1(b).…”

Section: Single-junction Superconducting Quantummentioning

confidence: 99%

Influence of Bifurcation Structures Revealed by Refinement of a Nonlinear Conductance in JosephsonJunction Element

Miino

Ueta

2018

Complexity

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We conduct a bifurcation analysis of a single-junction superconducting quantum interferometer with an external flux. We approximate the current-voltage characteristics of the conductance in the equivalent circuit of the JJ by using two types of functions: a linear function and a piecewise linear (PWL) function. We describe a method to compute the local stability of the solution orbit and to solve the bifurcation problem. As a result, we reveal the bifurcation structure of the systems in a two-dimensional parameter plane. By making a comparison between the linear and PWL cases, we find a difference in the shapes of their bifurcation sets in the two-dimensional parameter plane even though there are no differences in the one-dimensional bifurcation diagrams or the trajectories. As for the influence of piecewise linearization, we discovered that grazing bifurcations terminate the calculation of the local bifurcations, because they drastically change the stability of the periodic orbit.

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Frequency spectrum of a superconducting metadevice

Cited by 7 publications

References 30 publications

Modeling escape from a one-dimensional potential well at zero or very low temperatures

Modeling escape from a one-dimensional potential well at zero or very low temperatures

Modeling of Josephson Traveling Wave Parametric Amplifiers

Influence of Bifurcation Structures Revealed by Refinement of a Nonlinear Conductance in JosephsonJunction Element

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