Shozab Qasim

---

A central question in quantum statistical mechanics is how and why generic many-body systems approach equilibrium. In this talk, I will present recent progress on this problem using random tensor network ensembles—families of quantum states defined by network geometry and bond dimension. By combining tools from random matrix theory with mappings to classical statistical mechanical models, I will show that such states typically equilibrate, under a broad class of Hamiltonians with non-degenerate spectra. These results extend the static use of random tensor networks to a dynamical setting, offering new insights into late-time many-body dynamics. Finally, I will outline connections to holographic dualities: random tensor networks serve as toy models of AdS/CFT, and this work illustrates how dynamical phenomena can be captured rigorously within these toy models.
Preprint: arXiv:2508.16570

---

Berlin
0.03
Contact: Silvia Pappalardi