Decay of entanglement in coupled, driven systems with bipartite decoherence

TL;DR

This paper provides exact analytical insights into how entanglement decays in two coupled, driven qubits interacting with separate environments, revealing complex behaviors like delayed entanglement birth.

Contribution

It derives exact solutions for entanglement evolution in driven, coupled qubits with bipartite decoherence, highlighting the effects of coupling and initial states.

Findings

Entanglement decay in Werner states is independent of coupling.

Delayed sudden birth of entanglement occurs depending on initial states.

Coupling energy influences the timing of entanglement death and birth.

Abstract

We analyze a system of two qubits embedded in two different environments. The qubits are coupled to each other and driven on-resonance by two external classical sources. In the secular limit, we obtain exact analytical results for the evolution of the system for several classes of two-qubit mixed initial states. For Werner states we show that the decay of entanglement does not depend on coupling. For other initial states with ``{\sf X}\rq\rq -type density matrices we find that the sudden death time displays a rich dependence on the coupling energy and state parameters due to the existence of processes of delayed sudden birth of entanglement.