Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity

Name: Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity
Uploaded: 2026-10-06T19:16:11.933126+00:00
Duration: 617 s
Description: This work quantifies fermionic non-Gaussianity using magic Renyi entropy (MRE) to find its universal upper bound, which is ln(4/3) per Majorana in large systems. It shows that typical random states achieve this maximum density. The study also uses the SYK model to find phase transitions in chaotic dynamics, revealing collective phenomena not seen in simple thermal averages.

This work quantifies fermionic non-Gaussianity using magic Renyi entropy (MRE) to find its universal upper bound, which is ln(4/3) per Majorana in large systems. It shows that typical random states achieve this maximum density. The study also uses the SYK model to find phase transitions in chaotic dynamics, revealing collective phenomena not seen in simple thermal averages.

Open the full episode