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Discrete breathers in two-dimensional Josephson-junction arrays.

J J Mazo1

  • 1Departamento de Física de la Materia Condensada, Universidad de Zaragoza, E-50009 Zaragoza, Spain.

Physical Review Letters
|December 18, 2002
PubMed
Summary

Discrete breathers, or intrinsic localized modes, exist in 2D Josephson-junction arrays under RF fields. These stable modes are robust to thermal fluctuations and conditions for experimental detection are discussed.

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Area of Science:

  • Condensed matter physics
  • Quantum electronics
  • Nonlinear dynamics

Background:

  • Josephson-junction arrays are crucial in quantum computing and superconducting electronics.
  • Understanding localized modes is key to controlling quantum phenomena.
  • Radio-frequency (RF) biasing introduces complex dynamics in these systems.

Purpose of the Study:

  • To theoretically propose and numerically study discrete breathers (intrinsic localized modes) in 2D Josephson-junction arrays.
  • To analyze the stability of these modes under RF biasing.
  • To explore the feasibility of experimental detection.

Main Methods:

  • Theoretical modeling of 2D Josephson-junction arrays.
  • Numerical simulations to identify and characterize discrete breather solutions.
  • Floquet theory for analyzing linear stability.
  • Assessment of robustness against thermal fluctuations.

Main Results:

  • Existence of stable discrete breathers (intrinsic localized modes) demonstrated.
  • Linear stability confirmed within the Floquet theory framework.
  • Significant robustness of these modes observed in the presence of thermal fluctuations.

Conclusions:

  • Discrete breathers are a stable and robust phenomenon in 2D Josephson-junction arrays under RF fields.
  • The findings provide a theoretical basis for experimental realization.
  • Conditions for detecting these localized modes are outlined, paving the way for future experiments.

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