Quantum chaos, random matrices and statistical physics (Lecture 03) by Arul Lakshminarayan

902 views · Published 2 November 2018 · 1:29:40 · Indexed 24 September 2026

Channel: International Centre for Theoretical Sciences · 2018 · Science & Technology

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ORGANIZERS: Abhishek Dhar and Sanjib Sabhapandit

DATE: 27 June 2018 to 13 July 2018

VENUE: Ramanujan Lecture Hall, ICTS Bangalore


This advanced level school is the ninth in the series. 

This is a pedagogical school, aimed at bridging the gap between masters-level courses and topics in statistical physics at the frontline of current research. It is intended for Ph.D. students, post-doctoral fellows and interested faculty members at the college and university level. The following courses will be offered.​

Preparatory​ lecturers by Abhishek​ Dhar​ ​(ICTS) and​ Sanjib​ Sabhapandit (RRI)
Stochastic​ density​ functional​ theory​ for​ interacting​ Brownian​ particles by David​ ​Dean​ (Bordeaux,​ France)
Mechanics​ of​ wrinkling,​ folding,​ and​ crumpling by Narayanan​ ​Menon​ (UMASS,​ USA)
Network Dynamics by Sandeep Krishna (NCBS) and Shashi Thutupalli (NCBS-ICTS)
Quantum​ computation by Peter​ ​Young​ (UCSC,​ USA)
Quantum​ chaos,​ random​ matrices​ and​ statistical​ physics by Arul​ ​Lakshminarayan​ (IIT​ Madras,​ Chennai)
Interacting​ particle​ systems by Anupam​​ Kundu​ (ICTS,​ Bangalore)


CONTACT US: [email protected]

PROGRAM LINK: https://www.icts.res.in/program/bssp2018

Table of Contents (powered by https://videoken.com)
0:00:00 Bangalore School on Statistical Physics - IX 
0:00:10 Quantum chaos, random matrices and statistical physics (Lecture 03)
0:00:15 Chapter 1. Hamiltonian Classical Chaos 
0:01:09 Baker's 
0:03:10 Dense Set of Periodic Orbits 
0:05:26 Figure 1.9: All periodic points of the baker map of periods 5,10 and 15 top to down . The plots are all on unit (q, p) squares
0:07:02 Rational Number 
0:07:53 Chapter 2 - Hamiltonian Chaos: Quantum Mechanics 
0:17:07 [Demo]
0:29:42 Introduction 
0:36:15 But is the there quantum chaos ?
0:46:34 Pictures
0:54:18 Nonlinear oscillators 
0:55:02 Quantum Maps: Generalities 
1:19:35 Eigenstate thermalization 
1:22:50 Figure 2: The eigenstates of (a) the integrable circular billiard and (b) 
1:27:04 Figure 2.1: Top: left: from the random wave model, right: an excited state of the cardioid

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