Abstract

Quantum correlations are shown to be useful resources for a variety of quantum information and computational tasks. Many-body systems constitute a natural ground for the physical realization of such protocols. However, homogeneous quantum systems are rare in nature due to decoherence, thermal fluctuations, impurities, etc. Hence, inhomogeneous quantum many-body systems form a more practical ground to implement QIP protocols. We have investigated the static and dynamical patterns of entanglement in an 1D Fermi gas on a lattice with alternating chemical potential. At zero temperature, we find that the first derivative of bipartite entanglement can detect all the critical points. Next, we introduce more inhomogeneity in the chemical potential of the same system and study the behavior of quantum correlations in the realm of quenched disorder. I will also talk about the trends of quantum correlations when such system is in contact with an environment via a repetitive interaction. Finally, I will show that bipartite entanglement can be frozen over time under such open system dynamics.