commit 07be1e4faf537d69c6e86cac4c0c40e2a87deda0
parent 3018f44f9d600c40ca77da1d97b36b22bc6080ba
Author: miksa <milutin@popovic.xyz>
Date: Fri, 15 Apr 2022 10:20:28 +0200
add seminar
Diffstat:
5 files changed, 98 insertions(+), 0 deletions(-)
diff --git a/qmbs_sem/preamble.tex b/qmbs_sem/preamble.tex
@@ -0,0 +1,58 @@
+\documentclass[a4paper]{article}
+
+\usepackage[T1]{fontenc}
+\usepackage[utf8]{inputenc}
+\usepackage{mlmodern}
+
+%\usepackage{ngerman} % Sprachanpassung Deutsch
+
+\usepackage{graphicx}
+\usepackage{geometry}
+\geometry{a4paper, top=15mm}
+
+\usepackage{subcaption}
+\usepackage[shortlabels]{enumitem}
+\usepackage{amssymb}
+\usepackage{amsthm}
+\usepackage{mathtools}
+\usepackage{braket}
+\usepackage{bbm}
+\usepackage{graphicx}
+\usepackage{float}
+\usepackage{yhmath}
+\usepackage{tikz}
+\usetikzlibrary{patterns,decorations.pathmorphing,positioning}
+\usetikzlibrary{calc,decorations.markings}
+
+%\usepackage[backend=biber, sorting=none]{biblatex}
+%\addbibresource{uni.bib}
+
+\usepackage[framemethod=TikZ]{mdframed}
+
+\tikzstyle{titlered} =
+ [draw=black, thick, fill=white,%
+ text=black, rectangle,
+ right, minimum height=.7cm]
+
+
+\usepackage[colorlinks=true,naturalnames=true,plainpages=false,pdfpagelabels=true]{hyperref}
+\usepackage[parfill]{parskip}
+\usepackage{lipsum}
+
+\usepackage{tcolorbox}
+\tcbuselibrary{skins,breakable}
+
+\pagestyle{myheadings}
+
+\newcommand{\eps}{\varepsilon}
+\usepackage[OT2,T1]{fontenc}
+\DeclareSymbolFont{cyrletters}{OT2}{wncyr}{m}{n}
+\DeclareMathSymbol{\Sha}{\mathalpha}{cyrletters}{"58}
+
+\markright{Popović\hfill Applied Analysis\hfill}
+
+
+\title{University of Vienna\\ Faculty of Mathematics\\
+\vspace{1cm}Seminar Mathematical/Computational Astro/Quantum Physics
+}
+\author{Milutin Popovic}
diff --git a/qmbs_sem/ref/andras_mail.md b/qmbs_sem/ref/andras_mail.md
@@ -0,0 +1,40 @@
+Dear Milutin,
+
+Thanks for the interest. Please find below some references. I'm also
+happy to talk next week, feel free to drop by (I'm in the office in
+front of ESI, write me an email before coming).
+
+This <https://arxiv.org/abs/2011.12127> is a general review about
+tensor networks (just in case). Maybe a good place to start to learn
+about PEPS and the context in which it is used.In this paper
+<https://arxiv.org/abs/1804.04964> we show how symmetries are reflected
+in PEPS that describes systems without any topological order. This
+paper is just a proof, and it is quite technical, so it won't help you
+to understand the general concepts. If you like proofs though it might
+be interesting.
+Symmetries in PEPS are strongly linked to topological order. The
+introduction part of these lecture notes
+<https://arxiv.org/abs/1506.05805> might be useful to understand the
+different kind of topological orders one might encounter. That being
+said,
+This paper <https://arxiv.org/abs/1106.4752> is the first example how
+to describe symmetry protected topological (SPT) order in PEPS.This
+paper <https://arxiv.org/abs/1001.3807> shows how PEPS can describe
+systems with topological order, for the simplest type of intrinsic
+topological order. If you are not afraid to dive into category theory,
+this paper <https://arxiv.org/abs/1410.4540> provides a classification
+of topological phases with symmetry (symmetry enriched topological
+phases, SET). This is not about PEPS, but the ideas behind are the same
+anyway. In this paper <https://arxiv.org/abs/1711.07982> examples for
+the above SET classification have been constructed using PEPS.
+I think the last two papers are too hard/extensive for a seminar, but
+it is nice to see where the theory can lead you. If you are interested
+in topological order, then the G-injective paper
+<https://arxiv.org/abs/1001.3807> might be the best to read from the
+list above. As mentioned above, I am also happy to talk, maybe with a
+personal meeting we can narrow down more what you actually are
+interested in.
+
+Best,
+Andras
+
diff --git a/qmbs_sem/ref/peps_symmetry.pdf b/qmbs_sem/ref/peps_symmetry.pdf
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diff --git a/qmbs_sem/ref/peps_top_order.pdf b/qmbs_sem/ref/peps_top_order.pdf
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diff --git a/qmbs_sem/ref/qmbs_overview.pdf b/qmbs_sem/ref/qmbs_overview.pdf
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