2024/02/21 by Surbhi Khetrapal, Khetrapal, Surbhi, Emil Tore Mærsk Pedersen +1
Computer Science · #Computability, Logic, AI Algorithms #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.2402.13558
openalex publication_date 2024/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a chain of spin-half particles of a finite length, evolved with the mixed-field Ising Hamiltonian and impose open boundary condition. We simulate the time evolution of entanglement entropy and mutual information following quench from the Néel state in this system using tensor networks. We find that the entanglement entropy for non-integrable systems saturates to a constant value at late times, however it continues to oscillate for integrable systems. We also find that mutual information peaks as a function of distance between intervals decay faster for non-integrable systems compared to integrable systems, in agreement with the conclusion of \citeAlba:2019ybw for XXZ chains. We compare the oscillations in entanglement entropy evolution obtained from simulations in the integrable case with analytic results from quasi-particle picture and find agreement.