Unveiling quantum phase transitions by fidelity mapping

Fidelity has been widely used to detect various types of quantum phase transitions (QPTs). However, challenges remain in locating the transition points with precision several models unconventional phases. We propose fidelity map approach QPTs higher accuracy and sensitivity than conventional measures. Our scheme extends concept from a single-dimensional multidimensional quantity uses metaheuristic algorithm search for critical that globally maximize within each phase. verify interacting possess phases QPTs, namely, spin-1 Kitaev-Heisenberg model, spin-$\frac{1}{2}$ XXZ Su-Schrieffer-Heeger model. The can capture wide range accurately even small systems, thus providing convenient tool study unseen without prior knowledge symmetry system.