Multi-Region Entanglement in Locally Scrambled Quantum Dynamics

Understand

We study the evolution of multi-region bipartite entanglement entropy under locally scrambled quantum dynamics.

• We show that the multi-region entanglement can significantly modify the growth of single-region entanglement, whose effect has been largely overlooked in the existing literature.
• We developed a novel theoretical framework, called the entanglement feature formalism, to organize all the multi-region entanglement systematically as a sign-free many-body state.
• We further propose a two-parameter matrix product state (MPS) ansatz to efficiently capture the exponentially many multi-region entanglement features.