2023/05/24 by Pengfei Zhang, Zhang, Pengfei
Engineering · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el) #Tribology and Lubrication Engineering
paper · pdf · doi:10.48550/arxiv.2305.18329
openalex publication_date 2023/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, we extend the recent study of entropy dynamics induced by an external impulse in open quantum systems, where the entropy response follows the Page curve. For small system-bath coupling κ, we expect that the entropy first increases exponentially κ2 e\varkappa t in the early-time regime t\lesssim |log κ| due to quantum many-body chaos, and then decreases as ~e-λ0 t with λ0 ∝ κ2 due to the energy relaxation. These results are confirmed through explicit calculations using two methods: 1) generalized Boltzmann equation for systems with quasi-particles; 2) scramblon effective theory in the early-time regime and perturbation theory in the late-time regime for 0+1-d systems. We also prove that in the second stage, the entropy of the system is equal to the coarse-grained entropy.