Talk page

Title:
Analytical results for chaotic many-body quantum systems out of equilibrium

Speaker:
Lea Santos

Abstract:
Using full random matrices, we derive analytical expressions that describe the entire evolution of the survival probability, density imbalance, and out-of-time-ordered correlator. These expressions provide bounds and serve as references for the studies of realistic many-body quantum systems. Following the same steps employed for full random matrices, we obtain expressions that match extremely well numerical results for disordered spin-1/2 models that are chaotic and quenched far from equilibrium. This comparison between the two models lead to the identification of dynamical features that are generic to many-body chaotic quantum systems; they include power-law decays and correlation holes.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=3442

Workshop:
Simons- Workshop: Progress in quantum collective phenomena - from MBL to black holes