2025/02/05 by Rishabh Jha, Jha, Rishabh, Salvatore R. Manmana +3 · 3 citations
Physics and Astronomy · #Chain (unit) #Dynamics (music) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mechanical and Optical Resonators #Physics #Quantum #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.2502.03563
openalex publication_date 2025/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Generic non-equilibrium many-body systems display a linear growth of bipartite entanglement entropy in time, followed by a volume law saturation. In stark contrast, the Page curve dynamics of black hole physics shows that the entropy peaks at the Page time tPage and then decreases to zero. Here, we investigate such Page-like behavior of the von Neumann entropy in a model of strongly correlated spinless fermions in a typical system-environment setup, and characterize the properties of the Page curve dynamics in the presence of interactions using numerically exact matrix product states methods. The two phases of growth, namely the linear growth and the bending down, are shown to be separated by a non-analyticity in the min-entropy before tPage, which separates two different quantum phases, realized as the respective ground states of the corresponding entanglement (or equivalently, modular) Hamiltonian. We confirm and generalize, by introducing interactions, the findings of \hrefhttps://journals.aps.org/prb/abstract/10.1103/PhysRevB.109.224308Phys. Rev. B 109, 224308 (2024) for a free spinless fermionic chain where the corresponding entanglement Hamiltonian undergoes a quantum phase transition at the point of non-analyticity. However, in the presence of interactions, a scaling analysis gives a non-zero critical time for the non-analyticity in the thermodynamic limit only for weak to intermediate interaction strengths, while the dynamics leading to the non-analyticity becomes instantaneous for interactions large enough. We present a physical picture explaining these findings.