Double resonance in the system of coupled Josephson junctions

Shukrinov, Yu. M.; Rahmonov, I. R.; Kulikov, K. V.

doi:10.1134/s0021364012210102

Cited by 14 publications

(19 citation statements)

References 31 publications

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“…In contrast with previous studies [19,42], this is the strong coupled limit (1/β L = 100), and therefore Ω 1 = Ω [43,44], as shown in Fig. 2 by the normalized voltage < dφ/dτ > in correspondence of the applied current γ G .…”

Section: Model Of a Josephson Junction Coupled To A Resonatorcontrasting

confidence: 64%

“…If the resonator and the JJ are weakly coupled (1/β L << 1), the two frequencies Ω 1 and Ω 3 are substantially unperturbed and correspond to the resonant frequency Ω of the RLC and the unperturbed (1/β L = 0) frequency of the junction, respectively [29,42]. In contrast with previous studies [19,42], this is the strong coupled limit (1/β L = 100), and therefore Ω 1 = Ω [43,44], as shown in Fig. 2 by the normalized voltage < dφ/dτ > in correspondence of the applied current γ G .…”

Section: Model Of a Josephson Junction Coupled To A Resonatormentioning

confidence: 74%

“…2 by the normalized voltage < dφ/dτ > in correspondence of the applied current γ G . The shift in voltage due to the interaction has been estimated in the limit case of a non dissipative resonator [43]; in our normalizations it reads:…”

Section: Model Of a Josephson Junction Coupled To A Resonatormentioning

confidence: 99%

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Noise effects on a birhythmic Josephson junction coupled to a resonator

Yamapi

Филатрелла

2014

Phys. Rev. E

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We study the effect of noise on a Josephson junction that, coupled to a linear RLC resonator, can oscillate at two frequencies. To establish the global stability of the attractors, we estimate the position of the separatrix, essential information to establish the stability of the attractor for this multidimensional system, from the analysis of the mean first passage time. We find that the frequency locked to the resonator is most stable at low bias and less stable at high bias, where the resonator exhibits the largest oscillations. The change in the birhythmic region is dramatic for the effective barrier changes of an order of magnitude and the corresponding lifetime of about seven decades.

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Section: Model Of a Josephson Junction Coupled To A Resonatorcontrasting

confidence: 64%

Section: Model Of a Josephson Junction Coupled To A Resonatormentioning

confidence: 74%

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Noise effects on a birhythmic Josephson junction coupled to a resonator

Yamapi

Филатрелла

2014

Phys. Rev. E

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“…Other possibilities, as LC coupling in stacks are useful for the description of more complicated structures, e.g., of traveling waves in stacks of JJs [27].…”

Section: Model Of a Serie Of Josephson Junctions Coupled To A Resmentioning

confidence: 99%

Noise and disorder effects in a series of birhythmic Josephson junctions coupled to a resonator

et al. 2019

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This paper deal the effects of uncorrelated white noise, in a serie of Josephson Junctions coupled to a linear RLC resonator. The junction are hysteretic, and hence can be considered birhythmic, that is capable to oscillate at different frequencies for the same set of parameters. Both Josephson Junctions with identical and disordered parameters are considered. With the uniform parameters, the array behaves similarly to single Josephson junctions, also in the presence of noise. The magnitude of the effective energy that characterizes the response to noise becomes smaller as the number of elements of the array increases, making the resonator less stable. Disorder in the parameters drastically changes the physics of the array. The disordered array of Josephson junctions misses the birhythmicity properties for large values of the variance of the disorder parameter. Nevertheless, the system remains birhythmic for low values of the disorder parameter. Finally, disorder makes it difficult to locate the separatrix, hinting to a more complex structure of the effective energy landscape.

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“…Changing the LC parameters, the rc-branch move accordingly towards higher or lower frequencies. 37 .…”

Section: The Rc-branch and Superconducting Currentmentioning

confidence: 99%

Dependence of the maximal superconducting current on the resonance frequency in a shunted Josephson junction

Shukrinov

Rahmonov

Филатрелла

2017

J. Exp. Theor. Phys.

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We have investigated the phase dynamics and IV-characteristics of shunted Josephson junctions coupled to an LC circuit. When the Josephson frequency ωJ is close to the eigen frequency ωrc of the coupled resonance circuit, the IV-characteristic demonstrates an additional rc-branch. We have investigated the features of the rc-branch and of the superconducting current component for different values of the resonance frequency. It has been found that the maximal value of the superconducting current depends on the resonance frequency and that it increases when the end point of the rcbranch approaches the critical current. The dependence of the maximal superconducting current on the resonance frequency at different values of the dissipation parameter is peculiar, for the optimized maximum appears to be independent of the system parameters within 1%.

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Double resonance in the system of coupled Josephson junctions

Cited by 14 publications

References 31 publications

Noise effects on a birhythmic Josephson junction coupled to a resonator

Noise effects on a birhythmic Josephson junction coupled to a resonator

Noise and disorder effects in a series of birhythmic Josephson junctions coupled to a resonator

Dependence of the maximal superconducting current on the resonance frequency in a shunted Josephson junction

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