Entanglement of a spin-1/2 Ising-Heisenberg diamond spin cluster in the thermal bosonic bath

Abstract: With the rapid development of quantum information over the last decade, there is a growing need to identify physical systems that can effectively implement quantum computing. One such system is the diamond spin cluster, which appears in various chemical compounds, including the natural mineral azurite, where copper ions are arranged in this structure. Here, we study the time evolution of a diamond spin cluster with Ising-Heisenberg interaction under the influence of a thermal bosonic bath, which simulates the environment. Using negativity as a measure, we analyze the entanglement behavior between the central spins of the system. We demonstrate how the environment influences the presence of entanglement in the system. Specifically, we show that for certain values of the environment parameters, entanglement increases significantly. Furthermore, we identify the conditions under which entanglement reaches its maximum possible values.