Exactly solved models of chaotic many-body dynamics

QUEST Center event
Yes
Speaker
Tomaz Prosen
Date
13/05/2021 - 20:00 - 19:00Add to Calendar 2021-05-13 19:00:00 2021-05-13 20:00:00 Exactly solved models of chaotic many-body dynamics One should be amazed with an unreasonable effectiveness of random matrix theory to describe spectral fluctuations in simple non-integrable many-body systems, say one dimensional spin 1/2 chains with local interactions. I will discuss a class of Floquet (periodically driven) quantum spin chains - specifically, dual unitary Floquet circuits - where the random matrix result for the spectral form factor can be derived or even rigorously proven. Several other nontrivial exactly solvable features of the presented models, such as dynamical correlations or entanglement dynamics, will be discussed.   Registration link Recording zoom Department of Physics physics.dept@mail.biu.ac.il Asia/Jerusalem public
Place
zoom
Abstract

One should be amazed with an unreasonable effectiveness of random matrix theory to describe spectral fluctuations in simple non-integrable many-body systems, say one dimensional spin 1/2 chains with local interactions. I will discuss a class of Floquet (periodically driven) quantum spin chains - specifically, dual unitary Floquet circuits - where the random matrix result for the spectral form factor can be derived or even rigorously proven. Several other nontrivial exactly solvable features of the presented models, such as dynamical correlations or entanglement dynamics, will be discussed.

 

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Last Updated Date : 14/05/2021