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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 10: AdS/CFT

MP 10.8: Talk

Thursday, March 21, 2024, 12:20–12:40, HL 001

Page Curve Dynamics and Tunneling Effects in Fermionic Systems — •Rishabh Jha and Stefan Kehrein — Institute for Theoretical Physics, Friedrich-Hund-Platz 1, 37077 Göttingen, University of Göttingen, Germany

Motivated by the physics of Page curve in black holes, we study the entanglement dynamics in many-body physics of a fermionic chain and reproduce Page-like curve for entanglement growth between an arbitrary bi-partition where one is significantly smaller (called the system that can be free or contain interactions) than the other (called the environment that is kept free of interactions). The entanglement grows up and then bends down much like what we expect from a Page curve, thereby creating ``self-purification'' or ``zero-variance'' states for which we provide evidence by plotting the energy variance of the environment. Moreover, we find an acute sensitivity on the tunneling strength between the system and the environment for both the Page-like dynamics as well as the creation of ``zero-variance'' states. Interestingly all tunneling effects we find are universal across a range of spinless and spinful fermionic interactions. We finally study the entanglement structures for different interactions that give us insight behind this universality.

Keywords: Fermionic chain; Page curve; Tunneling dynamics; Zero variance states