Study of a topological phase transition using MERA

• Grant number: 18/25892-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2019
• End date: March 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Eduardo Peres Novais de Sá
• Grantee: Alex Enrique Crispim
• Host Institution: Centro de Ciências Naturais e Humanas (CCNH). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil

Abstract

The study of topological systems have been of great interest to the condensed matter and quantum information communities. The main goal of this project is to introduce the student to this area of current research and to the use of modern numerical techniques. In particular, in this project, the student will learn the surface code and the Multi-scaled Entanglement Renormalization Anstaz (MERA), thus having as a goal to study the quantum phase transition that happens in this model when the local gauge symmetry is broken. After studying this phase transition, the student will apply his new numerical tools to original problems.