Localization and dynamical transitions in aperiodic quantum chains
Multi-user equipment approved in grant 2015/23849-7: computer cluster
| Grant number: | 17/07248-9 |
| Support Opportunities: | Regular Research Grants |
| Start date: | September 01, 2017 |
| End date: | February 29, 2020 |
| Field of knowledge: | Physical Sciences and Mathematics - Physics - Condensed Matter Physics |
| Principal Investigator: | Andre de Pinho Vieira |
| Grantee: | Andre de Pinho Vieira |
| Host Institution: | Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
| City of the host institution: | São Paulo |
Abstract
We aim at studying the dynamical properties of quantum spin chains with deterministic aperiodic couplings. We will employ real-space renormalization-group techniques as well as exact-diagonalization computational methods to investigate systems such as the spin-\frac{1}{2}XXZ chain and the quantum Ising chain, focusing on analyzing the dynamical response to a quantum quench, in order to better understand the changes induced in the ground-state structure and the dynamics of elementary excitations by the combination of quantum fluctuations and translation-symmetry breaking. We will be especially interested in the effects of such combination on the so-called dynamical phase transitions, as well as on many-body localization phenomena. (AU)
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