Phases to Phases: An invitation to Topological Phases of Many Particles by Vijay shenoy

DISCUSSION MEETING : GEOMETRIC PHASES IN OPTICS AND TOPOLOGICAL MATTER

ORGANIZERS : Subhro Bhattacharjee, Joseph Samuel and Supurna Sinha
DATE : 21 January 2020 to 24 January 2020
VENUE : Madhava Lecture Hall, ICTS, Bangalore

This is a joint ICTS-RRI Discussion Meeting on the geometric phase and its applications in optics and condensed matter. There has been much interest from the Indian scientific community on the topic of geometric phase. Since the early days, this topic has had diverse applications in condensed matter physics and optics. The subject has broad appeal and brings the higher mathematics of differential geometry and topology to concrete experimental predictions.

World wide interest in the geometric phase was sparked by a paper in 1984 by Michael Berry, who has had long standing links with India and Indian Science. The subsequent realisation that S. Pancharatnam had anticipated the geometric phase in the context of polarisation optics, was another trigger.

There have since been several advances in the application of geometric and topological phases in the areas of optics and condensed matter. In fact, research in the area of condensed matter has also influenced topological quantum computation. The growth of research in these areas is the result of exchange of ideas between researchers ranging across classical and quantum optics, condensed matter physics and quantum computation. Our discussion meeting is expected to be a natural point of convergence, which will bring together two prominent research communities - classical and quantum optics and condensed matter physicists, interested in studying the geometric phase, and provide them a platform to exchange and share ideas. The primary objective of this discussion meeting is to encourage young researchers to join the field and to discuss the future direction of research, to assess where we stand and where to go from here.The program will consist of two parts; the first part (21,22 January 2020) will consist of Perspective lectures which will introduce students, postdocs and interested researchers to the field. The second part of the program (23,24 January 2020) will discuss advanced research topics in the field.

Eligibility Criteria:
Graduate students, postdoctoral fellows and researchers interested in the area of geometric phase and its applications in optics and condensed matter are invited to apply. Interested graduate students must have already enrolled for a Ph.D. (3rd year or above) or completed their Ph.D. in areas related to the topic of the program.

There will be a slot for posters during the meeting. To contribute a poster, please send title and abstract to the organizers at [email protected]

CONTACT US
[email protected]

PROGRAM LINK : https://www.icts.res.in/discussion-me...

Table of Contents (powered by https://videoken.com)
0:00:40 Acknowledgements
0:01:03 Overview: Phases to Phases
0:02:53 Topological Matter Matters
0:03:17 Phases of Electrons- Matter... and its phases
0:03:38 Whence Phases?
0:05:15 Atomic Theory...to Theory of Phases
0:07:28 Electrons... and Electronic Phases
0:09:02 Quantum Condensed Matter Physics - Bird's Eye View
0:11:59 Taking Stock...
0:13:52 Summary of a Grad Course!
0:14:53 Current Status
0:16:39 Electronic Phases.... What and Why Topology?
0:16:48 Essential Quantum Ideas
0:17:25 Warm Up: Atomic Structure - Few Electrons
0:19:14 Electronic Liquid Phase - Metal
0:24:35 ...and Insulators
0:26:17 Insulators: "Electronic Solid Phase"
0:28:01 Topology of Electrons Phases - Whetting the Appetite
0:29:21 Topology...Revealed in a Finite Chain
0:33:21 Topology...on the Edge
0:35:46 Phases Distinguished by Topology... and Phase Transitions
0:38:42 Topology of Electron Phases
0:45:11 Gapped Phases of Electrons
0:49:54 Topology of Ground States
0:53:23 The Tenfold Way-Bird's-Eye View
0:54:57 Beginnings...
0:56:26 Beginnings...II
0:58:00 Symmetries...Recap
0:59:12 Symmops of Fermionic Systems
1:00:46 Symmops - Summary
1:01:34 Non-ordinary Symmops: Properties
1:02:14 Tenfold Way-Another View
1:02:36 Grotesque" Fermionic Systems (GFS)
1:04:14 Further Properties of Non-Ordinary Symmetries of a GFS
1:04:56 Ten Classes
1:06:42 Canonical Representation of Symmetries
1:09:41 Tenfold Way - A Group Cohomological View
1:14:27 Tenfold Way: Noninteracting Systems
1:15:57 Interacting Systems
1:17:21 From GFS to Lattice
1:18:18 Bands etc.
1:19:25 Ground state.. and Topology
1:23:34 Periodic Table
1:24:30 Periodic Table...for Human beings
1:27:42 Topological Insulators
1:28:53 Topology Insulator for Technology
1:30:47 Topological Insulators in Amorphous Systems
1:31:13 Motivating Clues...
1:38:11 Edge States
1:38:20 ....with Quantized Transport
1:38:31 Topological Invariant
1:38:58 Phase Diagram
1:39:31 Experimental Realization!
1:42:21 Tunable Topology?
1:45:11 Things Not Discussed...and Open Issues
1:47:47 Key Takeaway
1:49:25 Summary