Dynamics of spin systems coupled to bosonic baths beyond the Markov approximation

Abstract:
The dynamics of two spins, interacting or not, embedded in bosonic baths, has gained more and more interest in the last decades both from theoretical and applicative point of view. In particular the attention has been focussed on the entanglement evolution under the hypothesis of weak coupling regime and Markov approximation. In the present work we consider two interacting spins coupled to two independent bosonic baths. Starting from a general initial condition, we solve the dynamics of the system without the Markov approximation. Exploiting our result we analyze the entanglement evolution in the two spins considering different spectral densities of the baths.