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Phase synchronization in an array of driven Josephson junctions.

Chitra R N1, V C Kuriakose

  • 1Department of Physics, Cochin University of Science and Technology, Kochi 682022, India. rchitra@cusat.ac.in

Chaos (Woodbury, N.Y.)
|April 2, 2008
PubMed
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We explored chaotic synchronization in parallel Josephson junctions. Outer junctions synchronize independently, while inner junctions synchronize under specific conditions, leading to full phase synchronization with applied fields.

Area of Science:

  • Nonlinear Dynamics
  • Condensed Matter Physics
  • Electrical Engineering

Background:

  • Josephson junctions are key components in superconducting electronics.
  • Understanding chaotic synchronization in coupled nonlinear systems is crucial for advanced applications.
  • Parallel arrays of Josephson junctions present complex dynamics.

Purpose of the Study:

  • To investigate the conditions for chaotic synchronization in a parallel array of N Josephson junctions.
  • To analyze the stability and synchronization behavior of individual and groups of junctions.
  • To explore the influence of external biasing and phase differences on system dynamics.

Main Methods:

  • Theoretical analysis of a system of coupled nonlinear differential equations representing Josephson junctions.

Related Experiment Videos

  • Investigation of synchronization manifolds and stability criteria.
  • Numerical simulations to observe chaotic and periodic behaviors under varying parameters.

    • Main Results:

    • Outer Josephson junctions can achieve synchronization independently of inner junctions under external biasing.
    • Inner junctions synchronize for specific parameter values due to symmetry.
    • All junctions exhibit phase synchronization when a phase difference is introduced between applied fields.
    • Chaotic dynamics transition to periodic behavior with the introduction of phase differences.

    Conclusions:

    • The study reveals distinct synchronization regimes in parallel Josephson junction arrays.
    • External biasing and phase differences are critical control parameters for achieving desired synchronization states.
    • The findings have implications for designing and controlling complex superconducting circuits.