2024年7月11日（木）10:30~（第6回）(6th: 10:30-, July 11, 2024)

理学部1号館206教室 (Room No. 206, Science 1st Bldg.) 

Speaker: Leonardo Mazza (Université Paris-Saclay - LPTMS)

Title: ETH, hydrodynamics and quantum scars 

Abstract:

The eigenstate thermalization hypothesis is a cornerstone of our

understanding of thermalization in closed quantum many-body systems. In

the first part of the talk I will show that using information on the

hydrodynamic behaviour of the many-body setup it is possible to sharpen

ETH and to derive precise inequalities (often saturated) between the

diagonal and off-diagonal functions postulated in the ETH framework. In

the second part of the talk I will discuss the existence of highly

non-thermal states that can be constructed as non-linear combination of

eigenstates satisfying ETH: they display non-thermal features and relax

on diverging timescales. We dubbed them "asymptotic" quantum many-body

scars.

This seminar is based on the following works:

[1] Gotta, Moudgalya and Mazza, Asymptotic Quantum Many-Body Scars PRL 131, 190401 (2023)

[2] Morettini, Capizzi, Fagotti and Mazza, Energy-filtered quantum states, arXiv:2405.02158 (2024)

[3] Capizzi, Wang, Xu, Mazza and Poletti, Hydrodynamics and the Eigenstate Thermalization Hypothesis, arXiv:2405.16975 (2024)