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Structured chaos in a devil's staircase of the Josephson junction
Yu M Shukrinov1, A E Botha2, S Yu Medvedeva1
1BLTP, JINR, Dubna, Moscow Region 141980, Russia.
Chaos (Woodbury, N.Y.)
|October 3, 2014
Summary
This study reveals structured chaos in Josephson junctions (JJs) under electromagnetic radiation. The research highlights fractal dimensions and universal period-doubling routes to chaos, explaining complex JJ dynamics.
Area of Science:
- Condensed matter physics
- Nonlinear dynamics
- Quantum electronics
Background:
- Josephson junctions (JJs) exhibit complex phase dynamics when subjected to external electromagnetic radiation.
- Understanding these dynamics is crucial for applications in quantum computing and sensitive detectors.
Purpose of the Study:
- To investigate the phase dynamics of Josephson junctions under electromagnetic radiation.
- To analyze the emergence of structured chaos and its underlying mechanisms.
Main Methods:
- Numerical simulations of Josephson junction behavior.
- Analysis of current-voltage characteristics, Lyapunov exponents, and Poincaré sections.
- Linear regression for fractal dimension calculation.
Main Results:
- Subharmonic Shapiro steps are found to be separated by structured chaotic windows.
- A fractal dimension of D=0.868 ± 0.012 was obtained, indicating scaling similarity in chaotic regions.
- The devil's staircase structure unifies chaotic behavior, suggesting multiple complete devil's staircases.
Conclusions:
- The onset of chaos in JJs follows the Feigenbaum period-doubling scenario, demonstrating universality.
- Structured chaos is a stable phenomenon in Josephson junctions, robust across a range of parameters.
- The findings provide a unified explanation for complex dynamics in irradiated JJs.
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