[Landau ITP Seminars] Friday 19.03.2021

[Serge Krashakov]

Уважаемые коллеги,

В пятницу 19 марта в 11:30 состоится коллоквиум, на котором будут 
заслушан доклад:

Benjamin Doyon (King's College London)
*The hydrodynamics of many-body integrable systems*

Hydrodynamics is a powerful theory for the emergent behaviour at large 
wavelengths and low frequencies in many-body systems. The theory says 
that only few degrees of freedom are sufficient in order to describe 
what is observed at large scales of space and time, and it provides 
equations for the dynamics of these degrees of freedom. It is strongly 
based on the presence of microscopic conservation laws in the many-body 
model, such as conservation of energy, momentum and mass. But the 
standard equations of hydrodynamics fail to describe cold atom 
experiments in low dimensions. It is now understood that this is because 
the model accurately describing these experiments, the Lieb-Liniger 
model, is integrable. Integrable systems admit an extensive number of 
conservation laws, which must be taken into account in the emergent 
hydrodynamic theory. Recently this hydrodynamic theory, dubbed 
``generalised hydrodynamics”, has been developed. In this colloquium, I 
will review fundamental aspects of hydrodynamics and the main idea and 
equations of generalised hydrodynamics, with the simple example of the 
quantum Lieb-Liniger model. I will discuss recent cold-atom experiments 
that confirm the theory, and some of the exact results that can be 
obtained with this formalism, such as exact nonequilibrium steady states 
and exact asymptotic of correlation functions at large space-time 
separations in Gibbs and generalised Gibbs states.

Доклад будет сопровождаться онлайн-трансляцией в Zoom.  ID и пароль те 
же, что и для предыдущих трансляций:
https://zoom.us/j/96899364518?pwd=MzBsR2lYT0lYL2x2b1oyNU9LeWlWUT09
Meeting ID: 968 9936 4518
Пароль: 250319
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