PPT-Topological Phases of

Eternal Inflation Yasuhiro Sekino Okayama Institute for Quantum Physics w Stephen Shenker Stanford Leonard Susskind Stanford Phys Rev D81 123515 2010 arXiv10031347hepth. WMS SCIENCE. Grade 6. YES. NO. 1. I . can . describe. . how atoms move in a solid, liquid, and gas. 2. I . can . describe . the speed/energy of the atoms in . a solid, liquid, and gas.. 3. I . can . Syed. Ali . Raza. Supervisor: Dr. . Pervez. . Hoodbhoy. What are Topological insulators?. Fairly recently discovered electronic phases of matter.. Theoretically predicted in 2005 and 2007 by Zhang, . WMS SCIENCE. Grade 6. YES. NO. 1. I . can . describe. . how atoms move in a solid, liquid, and gas. 2. I . can . describe . the speed/energy of the atoms in . a solid, liquid, and gas.. 3. I . can . Symmetry. Topology. Interplay between symmetry and topology has led to a new understanding of . electronic phases of matter.. Conceptual simplification. Conservation laws. Distinguish phases of matter. Michael Freedman. April 23, 2009. Parsa Bonderson. Adrian Feiguin. Matthew Fisher. Michael Freedman. Matthew Hastings. Ribhu Kaul. Scott Morrison. Chetan Nayak. Simon Trebst. Kevin Walker. Zhenghan Wang. E.ST.05.22: Explain the phases of the moon. . Write down everything in yellow. . CO: I can explain why the moon appears to go through eight different phases in sky. . You are about to create a R.A.N. chart in your science notebook to discuss what we already know about tides and make predictions about what we might learn. . Shenghan Jiang. Boston College. Benasque. February. , 09, 2017. Symmetric tensor-networks and topological phases. Collaborators:. Ying Ran (Boston College) . Panjin. Kim, . Hyungyong. Lee, Jung . Hoon. Dimitrie Culcer. D. Culcer, PRB 84, 235411 (2011). . D. Culcer, . Physica. E 44, 860 (2012) – review on TI transport . Outline. Introduction to topological insulators. $$ NSF, AFOSR MURI, DARPA, ARO. Harvard-MIT. Takuya Kitagawa, . Erez. Berg, Mark Rudner. Eugene . Demler. . Harvard University. Also collaboration with A. White’s group, Univ. of Queensland. Guillaume Flandin. Wellcome. Trust Centre for Neuroimaging. University College London. SPM Course. London, . May 2014. Many thanks to Justin . Chumbley. , Tom Nichols and Gareth Barnes . for slides. ECE 580. 12. Graph Theory, Topological Analysis - Terms. Topological Analysis: General, systematic, suited for CAD. Graph. : Nodes and directed branches, describes the topology of the circuit, ref. direction. Helps visualize CAD. Graph Traversals. Spring 2015. Yanling He. Graphs. A Graph G = (V, E). Represents relationships among items. Can be directed or undirected. Complexity is O(|E|+|V|) is O(|V|^2). Graph Data Structure. Girish S . Setlur. Department of Physics. IIT Guwahati. COPYRIGHT DISCLAIMER: . ALL ILLUSTRATIONS . AND SOME PASSAGES IN . THESE SLIDES HAVE BEEN DOWNLOADED FROM VARIOUS INTERNET SOURCES.. LISTING EACH SOURCE SEPARATELY WILL TAKE UP ALL MY TIME SO I SHALL DESIST FROM DOING SO.. Takehito. Yokoyama, Yukio Tanaka. *. , and Naoto . Nagaosa. Department of Applied Physics, University of . Tokyo, Japan. *. Department . of Applied Physics, Nagoya . University, . Japan. arXiv:0907.2810.