PPT-Exploring Topological Phases With Quantum Walks

NSF AFOSR MURI DARPA ARO HarvardMIT Takuya Kitagawa Erez Berg Mark Rudner Eugene Demler Harvard University Also collaboration with A Whites group Univ of Queensland. 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, . and Beyond. Kai. . Sun. University . of Maryland, College Park. Outline. Topological state of matter. Topological nontrivial structure and topological index. Anomalous quantum Hall state and the . Chern. in a collaboration between the PFC at JQI . and . CalTech. have . shown that it may be possible to take a conventional semiconductor and endow it with topological properties without subjecting the material to extreme environmental conditions or fundamentally changing its solid state structure. . Superconductors. Akira . Furusaki. 2012/2/8. 1. YIPQS Symposium. Condensed matter physics. Diversity of materials. Understand their properties. Find. new states of matter. Emergent behavior of electron systems at low energy. Weisong. . Tu. Department of Physics and Astronomy. University of Tennessee. Instructor: Dr. . George . Siopsis. Introduction. Quantum Hall Effect. The quantum Hall effect is a quantum-mechanical version of the Hall effect, observed in two-dimensional electron systems subjected to low temperatures and strong magnetic fields. In the quantum hall effect, and the conductivity can be represented as. Kyoto University, YITP, Masatoshi SATO. Mahito Kohmoto (University of Tokyo, ISSP). . Yong-Shi Wu (Utah University). In collaboration with. 2. Review paper on Topological Quantum Phenomena. Y. Tanaka, MS, N. . 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. 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. Quantum Fluids and Solids . 3He. Brief introduction: solid and liquid 3He. 3He as topological quantum matter. Broken symmetry phases. Quantum matter in extreme conditions . Connections to hard quantum matter . Analysis . of the Topological Entanglement . Entropy. and Multipartite correlations. Kohtaro Kato (. The . University of . Tokyo). based on . PRA, 93, 022317 (2016). joint work with. Fabian Furrer (. 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. Cwith topologists 147I don146t think like a mathema-tician148 admits Kane a theoretical physicist who has tended to focus on tangible problems about solid materials He is not alone Physicists have typ Iris Cong. Dept. of Computer Science, UCLA. Jointly authored with Prof. . Zhenghan. Wang (advisor) and . Meng. Cheng. arXiv:1609.02037. Contents. Introduction. Part I: Hamiltonian Realization. Part II: Algebraic Theory.