2023/10/19 by Devanshu Shekhar, Shekhar, Devanshu, Pragya Shukla +1
Physics and Astronomy · Computer Science · #Advanced Thermodynamics and Statistical Mechanics #Quantum many-body systems #Quantum Information and Cryptography
paper · pdf · doi:10.48550/arxiv.2310.12796
We analyze the subsystem size scaling of the entanglement entropy of a non-ergodic pure state that can be described by a multi-parametric Gaussian ensemble of complex matrices in a bipartite basis. Our analysis indicates, for a given set of global constraints, the existence of infinite number of universality classes of local complexity, characterized by the complexity parameter, for which the entanglement entropy reveals a universal scaling with subsystem size. A rescaling of the complexity parameter helps us to identify the critical regime for the entanglement entropy of a broad range of pure non-ergodic states.