Talk by Professor Gautam Mandal, Tata Institute of Fundamental Research, Mumbai at QASTM seminar
Channel: Sayantan Choudhury
Date: 2020-10-26

Title: Thermalization in statistical systems and lessons for black holes

Abstract:
Black hole formation appears to convert pure states to thermal states. This is an essential element of the so-called information paradox. In statistical physics, thermalization appears to be a related event, in the sense that pure state correlators asymptotically approach thermal correlators. However, in this case, a pure state does remain a pure state--- it is just that the quantum entanglement between a finite subregion with the rest of the system approaches the thermal value. In AdS/CFT,thermalization gets related to black hole formation; although this promises to resolve the above paradox, it is fair to say that we are not there yet.
In the first part of the talk, we consider quantum quench in a large class of statistical systems. We explain the mechanism of how the entanglement “thermalizes”, and compute quantitative aspects such as relaxation rates. In certain examples with black hole duals, we compare the relaxation rates with the black hole quasinormal decay rates.
In the second part of the talk, we look at black hole formation more directly, using the Sachdev-Ye-Kitaev (SYK) models. We show quantum quench and thermalization in the statistical model by an explicit computation of correlators and show how this can be directly compared with black hole formation in the AdS(2) space, provided that we are above the Choptuik criticality. We also briefly describe ongoing work on time development of the SYK model coupled to a bath.

Speaker: Professor Gautam Mandal, Senior Professor, Department of Theoretical Physics, Tata Institute of Fundamental Research, Mumbai, India.

Date and Time: 26th October 2020, 2.00 PM to 4.30 PM PM Berlin time (6:30 PM to 9:00 PM Indian time)

Zoominar link: https://mpi-aei.zoom.us/j/97623339163

Contact: Dr. Sayantan Choudhury (sayantan.choudhury@aei.mpg.de)