The ground-state entanglement entropy is studied in a many-body bipartite quantum system with either a single or multiple conserved quantities. It is shown that the entanglement entropy exhibits a universal power-law behavior at large $R$—the occupancy ratio between the two subsystems. Single and multiple conserved quantities lead to different power-law exponents, suggesting the entanglement entropy can serve to detect hidden conserved quantities. Moreover, occupancy measurements allow inference of the bipartite entanglement entropy. All the above results are generalized for the Rényi entropy.

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• Entanglement entropy
• Quantum entanglement
• Quantum information theory
• Approximation methods for many-body systems
• Information theory