# Quantum phase slips and voltage fluctuations in superconducting nanowires

## TL;DR

This paper investigates how quantum phase slips cause non-equilibrium voltage fluctuations in superconducting nanowires, revealing power-law bias dependence and non-monotonous temperature effects, with testable predictions for future experiments.

## Contribution

It provides a theoretical analysis of quantum phase slip-induced voltage fluctuations, including cumulant calculations and noise spectrum behavior, advancing understanding of quantum effects in superconducting nanowires.

## Key findings

- Voltage fluctuations obey Poisson statistics
- Power spectrum depends non-monotonously on temperature
- Noise decreases with frequency and vanishes beyond a threshold

## Abstract

We argue that quantum phase slips (QPS) may generate non-equilibrium voltage fluctuations in superconducting nanowires. In the low frequency limit we evaluate all cumulants of the voltage operator which obey Poisson statistics and show a power law dependence on the external bias. We specifically address quantum shot noise which power spectrum $S_\Omega$ may depend non-monotonously on temperature. In the long wire limit $S_\Omega$ decreases with increasing frequency $\Omega$ and vanishes beyond a threshold value of $\Omega$ at $T \to 0$. Our predictions can be directly tested in future experiments with superconducting nanowires.