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Topologically Enforced Bifurcations in Superconducting Circuits.

G Engelhardt1, M Benito2, G Platero2

  • 1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany.

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|May 27, 2017
PubMed
Summary
This summary is machine-generated.

We explored the link between topological insulators, superconductors, and nonlinear dynamics. Our study shows that nonlinear superconducting circuits based on the Su-Schrieffer-Heeger model exhibit chaotic dynamics and topologically enforced bifurcations.

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Area of Science:

  • Condensed Matter Physics
  • Nonlinear Dynamics
  • Quantum Mechanics

Background:

  • The interplay between topological insulators, superconductors, and nonlinear dynamics remains largely uncharted territory.
  • Topological insulators possess unique properties protected by topology, while superconductors exhibit quantum mechanical phenomena like zero resistance.
  • Nonlinear dynamics studies systems sensitive to initial conditions, often leading to complex behaviors like chaos.

Purpose of the Study:

  • To investigate the unexplored relationship between topological insulators, superconductors, and nonlinear dynamics.
  • To explore the emergence of chaotic dynamics in a nonlinear superconducting circuit model.
  • To analyze topologically enforced bifurcations as a function of a topological control parameter.

Main Methods:

  • Adopting the linear coupling geometry of the Su-Schrieffer-Heeger model, a standard topological insulator model.
  • Rendering the Su-Schrieffer-Heeger model nonlinearly within the context of superconducting circuits.
  • Analyzing the system's behavior, including bifurcations and chaotic dynamics, by varying the topological control parameter.

Main Results:

  • The nonlinear superconducting circuit system exhibits topologically enforced bifurcations.
  • Chaotic dynamics emerge as a consequence of the nonlinear system.
  • Distinct phases are identified, characterized by clear topological features and separated by bifurcations.

Conclusions:

  • Nonlinear dynamics can arise in systems combining topological insulators and superconductors.
  • Topologically enforced bifurcations serve as a mechanism to transition into chaotic regimes.
  • This research opens new avenues for exploring topological phenomena in nonlinear dynamical systems.