Quantum correlation and classical correlation dynamics in the spin-boson model

TL;DR

This paper investigates how quantum and classical correlations evolve over time in a spin-boson model, revealing dependence on initial states and spectral density, with correlations transferring to reservoirs and remaining balanced for many initial conditions.

Contribution

It provides analytical results on correlation dynamics in the spin-boson model for different spectral densities, highlighting the transfer and balance of correlations during evolution.

Findings

Correlations transfer to reservoirs at evolution's end

Quantum and classical correlations remain equal for many initial states

No increase in correlations during evolution

Abstract

We study the quantum correlation and classical correlation dynamics in a spin-boson model. For two different forms of spectral density, we obtain analytical results and show that the evolutions of both correlations depend closely on the form of the initial state. At the end of evolution, all correlations initially stored in the spin system transfer to reservoirs. It is found that for a large family of initial states, quantum correlation remains equal to the classical correlation during the course of evolution. In addition, there is no increase in the correlations during the course of evolution.