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
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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