Effect of weak magnetic field on quantum spin correlation in an s-wave superconductor

TL;DR

This paper investigates how a weak magnetic field influences the quantum spin correlations within Cooper pairs in an s-wave superconductor, revealing that the spin state remains a Werner state and analyzing its quantum discord.

Contribution

It introduces a perturbative approach to study the magnetic field's effect on Cooper pair spin states and characterizes the resulting quantum correlations.

Findings

Spin state remains a Werner state under weak magnetic field

Quantum discord is used to analyze correlations

First-order perturbation preserves spin state structure

Abstract

We study the effect of a weak magnetic field on the state of the spins of a pair of electrons forming a Cooper pair in an s-wave superconductor. By perturbatively solving time-dependent Bogoliubov equations up to first order, we obtain the two-particle Green function, and whence the two-electron spin-space density matrix. It appears that up to first order approximation, the spin state of a Cooper pair retains the form of a Werner state. This state is then examined in the sense of quantum correlations, i.e., quantum discord.