Localization and dynamical transitions in aperiodic quantum chains

• Grant number: 22/16800-5
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: March 01, 2023
• Status: Discontinued
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Andre de Pinho Vieira
• Grantee: João Armando Sandron Galdino
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated scholarship(s): 25/23865-4 - Dephasing enhanced transport and driven optical field response in non-periodic quantum chains, BE.EP.DR

Abstract

We intend to investigate localization phenomena and dynamical phase transitions in quantum chains with deterministic aperiodic couplings. We will use real-space renormalization-group techniques and density-matrix renormalization-group computational methods in order to investigate quantum (Heisenberg and Potts) spin chains and the fermionic Hubbard chain, focusing on analyzing the emergence of dimerization and the dynamical response to a quantum quench, aiming at better understanding the changes introduced in the ground state and in the dynamics of the systems, when isolated, by combining quantum fluctuations and translation-symmetry breaking.