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Entanglement area law in interacting bosons: from Bose-Hubbard, $\phi$4, and beyond

Entanglement area law in interacting bosons: from Bose-Hubbard, $\phi$4, and beyond

The entanglement area law is a universal principle that characterizes the information structure in quantum many-body systems and serves as the foundation for modern algorithms based on tensor network representations. Historically, the area law has been well understood under two critical assumptions: short-range interactions and bounded local energy. However, extending …