MANY-BODY QUANTUM CHAOS

UNM Physics and Astronomy, Summer 2021 course (PHYC 500.001 Adv Sem)

Organized by the Center for Quantum Information and Control (CQuIC)

 

Course coordinators

·       Pablo M. Poggi (ppoggi@unm.edu)

 

General course information

This course is a survey of topics broadly related to chaos in quantum systems, with emphasis in its manifestations in many-body quantum systems.  The course is designed to be a ‘self-study’ program. In the first two sessions, we will introduce some basic aspects of quantum chaos and give an overview of the topics that will be treated later on. Reading material will be assigned every week, including lecture notes and research articles. In the remaining sessions, course participants will present sections from the reading material and facilitate group discussions. Participants are encouraged to also propose other topics of their interest.

 

The sessions will be held on Wednesdays at 4 pm Mountain Daylight Time (MDT), running until 5.15 MDT including discussion.

 

Syllabus and bibliography

A detailed program of the course including a list of references can be found here

 

Recordings

- UNM people: via Stream (netID required) --> link

- non UNM people: via OneDrive (password required) -->  link

 

Schedule and course materials

 

Session

Date

Topic

Presenter

Resources

1

June 2nd

Integrability and chaos in classical systems

Pablo Poggi

Slides (pdf)

2

June 9th

Introduction to quantum chaos

Pablo Poggi

Slides (pdf)

3

June 16th

Random Matrix Theory

Changhao Yi

Slides (pdf)

4

June 23rd 

Quantum integrability

Manuel Muñoz / Austin Daniel

Slides A (pdf)
Slides B (pdf)

5

June 30th

Thermalization in closed quantum systems

Sam Slezak / Mason Rhodes

Slides (pdf)

6

July 7th

Scrambling and OTOCs

Sivaprasad Omanakuttan

Slides (pdf)

7

July 14th

Scrambling in black holes

Tyler Thurtell / Conor Smith

Slides (pdf)

8

July 21st

Random unitary evolution

Andrew Zhao

Slides (pdf)

9

July 26th

Many body localization and quantum scars

Anupam Mitra / Karthik Chinni

Slides A (pdf)

Slides B (pdf)

10

July 28th

Dual unitary circuits

Jun Takahashi + others

Slides (pdf)