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Robust chimera states in SQUID metamaterials with local interactions
J Hizanidis1, N Lazarides1, G P Tsironis1
1Department of Physics, Crete Center for Quantum Complexity and Nanotechnology, University of Crete, P.O. Box 2208, 71003 Heraklion, Greece; Institute of Electronic Structure and Laser, Foundation for Research and Technology-Hellas, P.O. Box 1527, 71110 Heraklion, Greece; and National University of Science and Technology MISiS, Leninsky Prospekt 4, Moscow 119049, Russia.
Physical Review. E
|October 15, 2016
Summary
Researchers discovered robust chimera states in coupled superconducting quantum interference device (SQUID) oscillators. Local coupling, not just nonlocal, can generate these complex patterns, offering new insights for SQUID metamaterials.
Area of Science:
- Condensed Matter Physics
- Nonlinear Dynamics
- Quantum Metamaterials
Background:
- Chimera states, a unique form of incoherence in populations of coupled oscillators, were previously thought to require nonlocal coupling.
- Superconducting Quantum Interference Device (SQUID) oscillators are crucial components in quantum metamaterials, exhibiting complex dynamics.
Purpose of the Study:
- To investigate the emergence of multiclustered chimera states in a dissipative-driven system of coupled SQUID oscillators.
- To explore the role of local coupling in the formation of chimera states.
- To provide theoretical evidence for the existence of chimera states in systems with nearest-neighbor interactions.
Main Methods:
- Utilizing a dissipative-driven system model of symmetrically and locally coupled identical SQUID oscillators.
- Analyzing the characteristic 'snakelike' resonance curve of individual SQUID oscillators.
- Examining the phenomenon of attractor crowding at the geometrical resonance frequency.
Main Results:
- Demonstrated the emergence of robust multiclustered chimera states in locally coupled SQUID oscillators.
- Identified the single SQUID's 'snakelike' resonance curve as critical for chimera state formation and extreme multistability.
- Provided theoretical evidence that nearest-neighbor interactions can support chimera states across a broad parameter range.
Conclusions:
- Chimera states can emerge in systems with local coupling, challenging previous assumptions.
- The unique resonance properties of SQUID oscillators are key to generating complex chimera states.
- These findings are expected to be experimentally verifiable in SQUID metamaterial research.
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