Structured Chaos in 1-D Stacks of Intrinsic Josephson Junctions Irradiated by Electromagnetic Waves

Botha, A. E.; Shukrinov, Yu. M.; Medvedeva, S. Yu.; Kolahchi, M. R.

doi:10.1007/s10948-014-2819-2

Cited by 13 publications

(3 citation statements)

References 28 publications

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“…In such systems the IJJs are coupled together in a way that is essentially nonlocal; a result of the breakdown of charge neutrality [40], or a diffusion current [41,42]. IJJs could also provide a model for studying other synchronization phenomenon, such as chaos synchronization [43,44] and chimera states [45]. To this end, one of the difficulties that must first be overcome is related to the fact that, although the voltage across a stack of junctions can be measured with extreme precision, present experimental setups do not provide direct access to the voltages across individual junctions.…”

Section: Introductionmentioning

confidence: 99%

Characteristic distribution of finite-time Lyapunov exponents for chimera states

Botha

2016

Sci Rep

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Our fascination with chimera states stems partially from the somewhat paradoxical, yet fundamental trait of identical, and identically coupled, oscillators to split into spatially separated, coherently and incoherently oscillating groups. While the list of systems for which various types of chimeras have already been detected continues to grow, there is a corresponding increase in the number of mathematical analyses aimed at elucidating the fundamental reasons for this surprising behaviour. Based on the model systems, there are strong indications that chimera states may generally be ubiquitous in naturally occurring systems containing large numbers of coupled oscillators – certain biological systems and high-Tc superconducting materials, for example. In this work we suggest a new way of detecting and characterising chimera states. Specifically, it is shown that the probability densities of finite-time Lyapunov exponents, corresponding to chimera states, have a definite characteristic shape. Such distributions could be used as signatures of chimera states, particularly in systems for which the phases of all the oscillators cannot be measured directly. For such cases, we suggest that chimera states could perhaps be detected by reconstructing the characteristic distribution via standard embedding techniques, thus making it possible to detect chimera states in systems where they could otherwise exist unnoticed.

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Section: Introductionmentioning

confidence: 99%

Characteristic distribution of finite-time Lyapunov exponents for chimera states

Botha

2016

Sci Rep

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“…This fact [30]. It also has bearing on chaos synchronization, which may find applications in secure communication [31].…”

Section: Discussionmentioning

confidence: 95%

Cascade of parametric resonances in coupled Josephson junctions

Shukrinov

Azemtsa-Donfack

Rahmonov

et al. 2016

Low Temperature Physics

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We found that the coupled system of Josephson junctions under external electromagnetic radiation demonstrates a cascade of parametric instabilities. These instabilities appear along the IV characteristics within bias current intervals corresponding to Shapiro step subharmonics and lead to charging in the superconducting layers. The amplitudes of the charge oscillations increase with increasing external radiation power. We demonstrate the existence of longitudinal plasma waves at the corresponding bias current values. An essential advantage of the parametric instabilities in the case of subharmonics is the lower amplitude of radiation that is needed for the creation of the longitudinal plasma wave. This fact gives a unique possibility to create and control longitudinal plasma waves in layered superconductors. We propose a novel experiment for studying parametric instabilities and the charging of superconducting layers based on the simultaneous variation of the bias current and radiation amplitude. PACS

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“…[43]. The early studies [44][45][46] were primarily centered to rf driven SJJ, while the more recent ones [47][48][49][50] focused on dynamics of a finite number of coupled oscillators. Despite a progress in achieving a chaotic state of extended Josephson systems [51], all existing experimental studies of chaos in superconducting systems so far dealt with microwave frequencies (< 100 GHz).…”

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confidence: 99%

Bridging the terahertz gap for chaotic sources with superconducting junctions

2019

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We observe a broadband chaotic signal of Terahertz frequency emitted from a superconducting junction. The generated radiation has a wide spectrum reaching 0.7 THz and power sufficient to drive on-chip circuit elements. To our knowledge, this is the first experimental observation of a highfrequency chaotic signal emitted by a superconducting system which lies inside the Terahertz gap. Our experimental finding is fully confirmed by the numerical modeling based on the microscopic theory and reveals the unrealized potential of superconducting systems in chaos-based Terahertz communication, fast generation of true random numbers and non-invasive Terahertz spectroscopy applicable to physical, chemical and biological systems. arXiv:1709.04052v3 [cond-mat.supr-con]

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Structured Chaos in 1-D Stacks of Intrinsic Josephson Junctions Irradiated by Electromagnetic Waves

Cited by 13 publications

References 28 publications

Characteristic distribution of finite-time Lyapunov exponents for chimera states

Characteristic distribution of finite-time Lyapunov exponents for chimera states

Cascade of parametric resonances in coupled Josephson junctions

Bridging the terahertz gap for chaotic sources with superconducting junctions

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