Dynamics of dissipative coupled spins: decoherence and relaxation

TL;DR

This paper analyzes the complex dynamics of interacting dissipative spins coupled to bosonic baths, providing analytic solutions and exploring various regimes of coupling strength and temperature to understand decoherence and relaxation processes.

Contribution

It offers an analytic solution for the reduced dynamics of coupled spins in the white-noise limit and examines diverse regimes, including nonlinear and resonant environments.

Findings

Analytic solutions in the white-noise limit.

Behavioral analysis across different coupling and temperature regimes.

Insights into decoherence and relaxation mechanisms.

Abstract

We study the reduced dynamics of interacting spins, each coupled to its own bath of bosons. We derive the solution in analytic form in the white-noise limit and analyze the rich behaviors in diverse limits ranging from weak coupling and/or low temperature to strong coupling and/or high temperature. We also view the one spin as being coupled to a spin-boson environment and consider the regimes in which it is effectively nonlinear, and in which it can be regarded as a resonant bosonic environment.