Title: Anyonic (or Symmetric) Tensor Network States
Speaker: Babatunde Ayeni (Maynooth University)
Abstract: The focus of my talk would be on a broad class of tensor networks (TN) with a generic type of quantum symmetry: anyonic symmetry. This class of tensor networks is called anyonic tensor networks. The progression of my talk would be: First, I will give a quick reminder of “ordinary” (or non-symmetric) tensor networks, particularly, matrix product states (MPS). Second, as a prelude to anyonic TN, I will show how to incorporate particle number [or U(1)] symmetry into TN giving a TN with a global particle number. Third, I will give an overview of the algebraic theory of anyons necessary for working with anyonic TN, and then I show the construction of anyonic tensors and associated tensor network states. Finally, I will discuss some simple models of many-body system of non-Abelian anyons and show some results.
Time: Tuesday, 17 September 2019, 4pm
Location: Lecture Room, 1st Floor, School of Theoretical Physics, DIAS,
10 Burlington Road, Dublin 4
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Last Updated: 11th September 2019 by George Rogers
Tuesday 17th September : Anyonic (or Symmetric) Tensor Network States
Title: Anyonic (or Symmetric) Tensor Network States
Speaker: Babatunde Ayeni (Maynooth University)
Abstract: The focus of my talk would be on a broad class of tensor networks (TN) with a generic type of quantum symmetry: anyonic symmetry. This class of tensor networks is called anyonic tensor networks. The progression of my talk would be: First, I will give a quick reminder of “ordinary” (or non-symmetric) tensor networks, particularly, matrix product states (MPS). Second, as a prelude to anyonic TN, I will show how to incorporate particle number [or U(1)] symmetry into TN giving a TN with a global particle number. Third, I will give an overview of the algebraic theory of anyons necessary for working with anyonic TN, and then I show the construction of anyonic tensors and associated tensor network states. Finally, I will discuss some simple models of many-body system of non-Abelian anyons and show some results.
Time: Tuesday, 17 September 2019, 4pm
Location: Lecture Room, 1st Floor, School of Theoretical Physics, DIAS,
10 Burlington Road, Dublin 4
Category: Regular seminars, School of Theoretical Physics News & Events
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@laoneill "it's our job as researchers to keep reminding governments how important basic research is" "For Dev basic research being carried out in Ireland was a badge of pride"
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@CormacORafferty Schrödinger was gifted at explaining difficult concepts
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@laoneill111 how Schrödinger's book inspired scientists to change fields and result in the finding of the double helix.
@NeasaMcG explaining how DIAS came about and how Schrödinger was attracted to Ireland #DIASdiscovers
Panel Discussion getting underway! @laoneill111 @CormacORafferty @NeasaMcG @MartinaPQuinn
We're half way through the documentary... Join us for the rest and the fascinating discussion to follow DM for link
@Stella15882 @NeasaMcG @HistFest @lukeoneil47 @CormacORafferty @MartinaPQuinn Stella, send me an email. I'll get a link to you communications@dias.ie
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Meet some of our panelists for tomorrows discussion on the impact and legacy of the work carried out by Erwin Schroedinger during his time in Ireland as our first Director of Theoretical Physics Grab a free ticket here: eventbrite.ie/e/115984908985