  Quantum phase transitions offer profound insights into fundamental quantum
phenomena and enhance our understanding of complex materials and systems.
However, identifying quantum phase transitions in the absence of conventional
order parameters poses a significant challenge. To address this, we utilize
reduced fidelity susceptibility (RFS) vector field to construct phase diagrams
of various quantum systems and then demonstrate its efficacy in reproducing the
phase diagrams of established models with known order parameter. To this end,
we propose a new method for discovering the necessary order parameters for a
given quantum model and illustrate its capability by identifying a suitable
order parameter for the Axial Next Nearest Neighbour Interaction (ANNNI) Model.
Our analysis, which includes decomposing the observable into its
eigen-projectors alongside the finite-size scaling, confirms that our method
successfully can determine order parameters and thus its capable of
characterizing quantum phase transitions.
