Quantum Phase Slip Noise

TL;DR

This paper develops a theoretical framework for quantum phase slip-induced voltage noise in superconducting nanowires, revealing quantum shot noise characteristics, its spectral dependence, and temperature effects.

Contribution

It introduces a novel theory of QPS-induced voltage noise using Keldysh technique and phase-charge duality, highlighting quantum tunneling effects in nanowires.

Findings

QPS causes Poissonian quantum shot noise in nanowires.

The noise spectrum $S_ u$ follows a power law with bias voltage.

In long wires, $S_ u$ decreases with frequency and vanishes beyond a threshold.

Abstract

Quantum phase slips (QPS) generate voltage fluctuations in superconducting nanowires. Employing Keldysh technique and making use of the phase-charge duality arguments we develop a theory of QPS-induced voltage noise in such nanowires. We demonstrate that quantum tunneling of the magnetic flux quanta across the wire yields quantum shot noise which obeys Poisson statistics and is characterized by a power law dependence of its spectrum $S_\Omega$ on the external bias. In long wires $S_\Omega$ decreases with increasing frequency $\Omega$ and vanishes beyond a threshold value of $\Omega$ at $T \to 0$. Quantum coherent nature of QPS noise yields non-monotonous dependence of $S_\Omega$ on $T$ at small $\Omega$.