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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • Josephson junctions are crucial in quantum electronics.
  • Understanding escape statistics from potential wells is vital for device performance.
  • Existing models like Kramers and Büttiker-Harris-Landauer (BHL) have limitations at low damping.

Purpose of the Study:

  • To investigate Josephson escape statistics across a wide range of damping and temperature.
  • To compare simulation results with established theoretical models (Kramers and BHL).
  • To develop a new model explaining discrepancies observed at extremely low damping values.

Main Methods:

  • Conducting Langevin simulations for Josephson escape statistics.
  • Varying damping and temperature parameters extensively.
  • Comparing simulation outcomes with Kramers and Büttiker-Harris-Landauer (BHL) models.
  • Developing and validating a novel theoretical model for low-damping regimes.

Main Results:

  • Good agreement between simulations and Kramers model for high to moderate damping.
  • BHL model shows good agreement down to lower damping values.
  • Significant discrepancies observed between models and simulations at extremely low damping.
  • The new model accurately reproduces escape statistics at extremely low damping.

Conclusions:

  • The bias sweep effectively cools the system below its thermodynamic temperature as the potential well broadens.
  • A new model provides a simple expression for this effective temperature, explaining low-damping behavior.
  • The developed model is validated against Langevin simulations, offering improved accuracy in specific regimes.