| dc.description.abstract | This thesis investigates entanglement dynamics in open quantum many-body systems,
focusing on a one-dimensional free-fermion model in which a finite system is coupled
to a large environment. We study the model introduced in Ref. [1], which becomes
exactly solvable in the weak-coupling limit. Using resonant-level-model factorization,
we derive analytical expressions for the entanglement dynamics and validate them with
numerical simulations based on the correlation matrix formalism. We show that the
system exhibits Page-curve-like behavior: the entanglement entropy grows at early
times, reaches a maximum at the Page time (proportional to system size), and then
decreases at late times. In the appropriate scaling regime, data for different system
sizes collapse onto a single curve when plotted against the emitted-particle fraction.
These results provide an analytically controlled and numerically validated framework
for understanding Page-curve dynamics in open free-fermion systems. | en_US |
