Dissipative Dynamics of Quantum Vortices in Superconducting Arrays

TL;DR

This paper investigates the dissipative behavior of quantum vortices in a 2D array of superconducting grains, deriving their equations of motion from a microscopic model that includes quasiparticle effects.

Contribution

It introduces a microscopic derivation of vortex dynamics in superconducting arrays, incorporating quasiparticle dissipation, and compares it with phenomenological models.

Findings

Derived the equation of motion for a quantum vortex.

Compared microscopic and phenomenological models.

Provided insights into dissipative vortex dynamics.

Abstract

We consider a two-dimensional array of ultra-small superconducting grains, weakly coupled by Josephson junctions with large charging energy. We start from an effective action based on a microscopic tunneling Hamiltonian, which includes quasiparticle degrees of freedom, and study the resulting dissipative dynamics of quantum vortices. The equation of motion for a single vortex is deduced, and compared with a commonly adopted phenomenological model.