Chiral Entanglement Landscapes: Insights from a Four-Spin Interaction

We investigate quantum correlations in a spin-1/2 XX chain with anisotropic four-spin interactions, exactly solved via fermionization. The model reveals a rich ground-state phase diagram: a gapped topological phase with winding number 1 and entanglement spectral degeneracy for positive anisotropy, and two gapless chiral phases for negative anisotropy, separated by a Lifshitz critical line. We analyze concurrence, quantum discord, and bipartite entanglement entropy between nearest- and next-nearest-neighbor spins. Nearest-neighbor concurrence peaks at the first critical point and persists into the topological phase, while next-nearest-neighbor pairs remain disentangled. Quantum discord spans all phases but weakens in the topological regime. Derivatives of correlation measures sharply identify critical boundaries, and scaling near transitions reveals asymmetric critical exponents. Entanglement entropy follows volume-law scaling in the chiral phases, indicating strong long-range entanglement. These results deepen our understanding of quantum phase transitions and entanglement scaling, with implications for quantum information and simulation of highly correlated systems.