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Today's Topics:
1. Friday 02.12.2022 (Serge Krashakov)
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Message: 1
Date: Fri, 2 Dec 2022 15:44:40 +0300
From: Serge Krashakov <sakr@itp.ac.ru>
To: staff@itp.ac.ru, students@itp.ac.ru, seminars@itp.ac.ru
Subject: [Landau ITP Seminars] Friday 02.12.2022
Message-ID: <4446724c-02e4-eb9d-ab39-d90e783b3ead@itp.ac.ru>
Content-Type: text/plain; charset="utf-8"; Format="flowed"
Уважаемые коллеги!
Напоминаю, что в 16:00 состоится коллоквиум, на котором будет заслушан
доклад:
A. Polkovnikov (Boston University, USA)
Understanding quantum and classical chaos in Hamiltonian systems
through adiabatic transformations
Chaos is synonymous to unpredictability. In the case of classical
systems this unpredictability is expressed through exponential
sensitivity of trajectories to tiny fluctuations of the Hamiltonian or
to the initial conditions. It is well known that chaos is closely
related to ergodicity or emergence of statistical mechanics at long
times, but the precise relations between them are still debated. In
quantum systems the situation is even more controversial with
trajectories being ill-defined. A standard approach to defining quantum
chaos is through emergence of the random matrix theory. However, as I
will argue, this approach is rather related to the eigenstate
thermalization hypothesis and ergodicity than to chaps. In this talk I
will suggest that one can use fidelity susceptibility of equivalently
geometric tensor and quantum Fisher information as a definition of
chaos, which applies both to quantum and classical systems and which is
related to long time tails of the auto-correlation functions of local
perturbations. Through this approach we can establish of existence of
the intermediate chaotic but non-ergodic regime separating integrable
and ergodic phases, which have maximally sensitive eigenstates. I will
discuss how this measure is also closely related to recently proposed
definition of chaos through the Krylov complexity or the operator growth
and that there is very interesting and still unexplained duality between
short and long time behavior of chaotic and integrable systems As a
specific example of this approach I will apply these ideas to
interacting disordered systems and show that (many-body) localization is
unstable in thermodynamic limit irrespective of the disorder strength.
ID и пароль онлайн-трансляций в Zoom те же, что и для предыдущих
трансляций докладов на Ученом совете:
https://zoom.us/j/96899364518?pwd=MzBsR2lYT0lYL2x2b1oyNU9LeWlWUT09
Meeting ID: 968 9936 4518
Пароль: 250319
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