# Noise induced transition in Josephson junction with second harmonic

## TL;DR

This paper investigates how multiplicative colored noise can induce stabilization in a Josephson junction with second harmonic, revealing a noise-induced transition and stabilization mechanism through analytical and numerical methods.

## Contribution

It introduces a classical approach to analyze noise-induced stabilization in Josephson junctions with second harmonic, combining analytical effective potential analysis with numerical validation.

## Key findings

- Noise can stabilize an unstable configuration in the junction.
- Effective potential captures the stabilization effect.
- Numerical results confirm analytical predictions.

## Abstract

We show a noise-induced transition in Josephson junction with fundamental as well as second harmonic. A periodically modulated multiplicative colored noise can stabilize an unstable configuration in such a system. The stabilization of the unstable configuration has been captured in the effective potential of the system obtained by integrating out the high-frequency components of the noise. This is a classical approach to understand the stability of an unstable configuration due to the presence of such stochasticity in the system and our numerical analysis confirms the prediction from the analytical calculation.