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Josephson phase diffusion in the superconducting quantum interference device ratchet.

Jakub Spiechowicz1, Jerzy Łuczka1

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This summary is machine-generated.

We investigated phase diffusion in superconducting quantum interference devices (SQUIDs). We found that while phase evolution is generally regular, its diffusion can be amplified by adjusting experimental parameters, revealing simple, non-chaotic attractors.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Superconductivity

Background:

  • Superconducting quantum interference devices (SQUIDs) are crucial for sensitive magnetic field measurements.
  • Understanding Josephson phase dynamics is key to optimizing SQUID performance.
  • Previous work identified a regime of maximum SQUID efficiency.

Purpose of the Study:

  • To analyze the relationship between Josephson phase diffusion and transport properties in an asymmetric SQUID.
  • To investigate the impact of time-periodic current and magnetic flux on phase diffusion.
  • To characterize the dynamics and attractors in a high-efficiency SQUID regime.

Main Methods:

  • Theoretical analysis of the Josephson phase diffusion equation.
  • Numerical simulations to study phase evolution over time.
  • Investigation of the mean-square displacement of the phase.
  • Analysis of the system's behavior in the deterministic limit.

Main Results:

  • Phase diffusion is normal for long times, with a small diffusion coefficient indicating regular phase evolution.
  • The diffusion coefficient can be significantly enhanced by tuning experimentally accessible parameters (AC current amplitude, magnetic flux).
  • In the deterministic limit, the studied regime is non-chaotic and exhibits simple attractors.

Conclusions:

  • The high-efficiency SQUID regime, while exhibiting normal diffusion, allows for controllable enhancement of phase diffusion.
  • The system's deterministic limit is surprisingly simple and non-chaotic.
  • Findings offer insights for optimizing SQUID performance and understanding quantum transport phenomena.