---

We numerically explore the many body localization transition through the lens of the entanglement spectrum, i.e. the spectrum of the reduced density matrix. The level statistics of the entanglement spectrum as obtained through numerical diagonalization, unveil structures beyond that revealed by more limited measures such as entanglement entropy. We will also show that a simple artificial neural network trained on entanglement spectra of individual states of a many-body quantum system can be used to determine the transition between a many-body localized and a thermalizing regime.

---

Nicolas Regnault, ENS Paris
0.03 ETP
Contact: Maria Hermanns