Measuring and tracing adiabaticity in many-body quantum systems

• Grant number: 22/05198-2
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: October 12, 2022
• End date: December 30, 2022
• Field of knowledge: Physical Sciences and Mathematics - Physics - Condensed Matter Physics
• Principal Investigator: Luiz Nunes de Oliveira
• Grantee: Luiz Nunes de Oliveira
• Visiting researcher: Irene D'Amico
• Visiting researcher institution: University of York, England
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The research project will measure adiabaticity in an electron gas subject to a localized potential that varies on a controllable time scale. A tight-binding Hamiltonian discretized by a real-space formulation of the numerical renormalization-group procedure will describe the electron gas and determine its time evolution under the action of the localized potential. Of primary interest is the accuracy of the particle-density metric recently proposed by Skelt and D'Amico in computations of the adiabaticity threshold. To test the procedure, the particle-density metric will be compared with the wavefunction metric for various strengths and time scales of the potential. A zero-temperature computation is expected to be completed during the visitor's stay, the extension to finite temperatures being deferred to a subsequent effort. (AU)