Tripartite Entanglement Evolution under Correlated Non-Markovian Environments

In this work, we analyze the entanglement dynamics of three uncoupled qubits in the presence of local non-Markovian dephasing noise, introducing statistical correlations of varying strengths between pairs of environments. We derive the exact non-Markovian master equation for this model and present an analytical solution for the tripartite entanglement under different types of environmental noise, including Ornstein-Uhlenbeck noise, which captures the effects of environmental memory, and thermal noise, which introduces opportunities for entanglement revival. This analysis demonstrates how multipartite entanglement can be modulated through environment correlations and anti-correlations, and, under ideal conditions, even preserved or revived.