Area-Law Entanglement in Quantum Chaotic System

• URL: http://arxiv.org/abs/2510.27511v2
• Date: Mon, 03 Nov 2025 02:25:04 GMT
• Title: Area-Law Entanglement in Quantum Chaotic System
• Authors: Chunyin Chen, Sizhe Yan, Biao Wu,
• Abstract summary: A Floquet-driven quantum many-body system with Rydberg-like blockade exhibits a strict area-law entanglement entropy.<n>We trace this anomaly to the specific Hilbert space structure imposed by the blockades.<n>Our results demonstrate that entanglement entropy alone is an insufficient diagnostic of many-body quantum chaos.
• Score: 1.6316925292441817
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Entanglement entropy is a fundamental diagnostic for quantum chaos, typically exhibiting volume-law scaling in highly excited eigenstates of chaotic many-body systems. In this work, we present a striking counterexample: a Floquet-driven quantum many-body system with Rydberg-like blockade that, despite being fully chaotic as indicated by its Wigner-Dyson level statistics and local thermalization, exhibits a strict area-law entanglement entropy. Specifically, the entanglement entropy of every Floquet eigenstate is bounded by $\ln2$, independent of system size. We trace this anomaly to the specific Hilbert space structure imposed by the blockades, which restricts the Schmidt rank across a bipartition. Furthermore, we generalize this discovery by establishing a duality between constrained many-body Hamiltonians and single-particle quantum walks on median graphs, and we outline a general procedure for constructing systems with an entanglement entropy bounded by a predetermined constant. Our results demonstrate that entanglement entropy alone is an insufficient diagnostic of many-body quantum chaos and highlight the profound impact of Hilbert space geometry on quantum dynamics and thermalization.

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