Approximations for the quantum work extracted from a correlated system

• Grant number: 24/13527-1
• Support Opportunities: Scholarships in Brazil - Master
• Start date: December 01, 2024
• End date: July 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Krissia de Zawadzki
• Grantee: Orion de Macedo Xavier Villanueva Filho
• Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 25/21895-3 - Thermal-DFT approximations for the quantum thermodynamics of correlated fermionic systems, BE.EP.MS

Abstract

Understanding how to efficiently extract work from a quantum system out-of-equilibrium is one of the most important questions in Quantum Thermodynamics. In the particular case of a strongly correlated system, this is a very challenging problem, as their dynamics is ultimately determined by many-body interactions which play a crucial role in the possible transitions between excited states during the time evolution. Correlations directly affect the set of degrees of freedom dictating out-of-equilibrium dynamics and, in that sense, approximations to the many-body problem represent an interesting route to study the extraction of work in a strongly correlated quantum system. In this project, we propose to develop novel approximations to describe the extracted quantum work in the driven fermionic systems. Previous static approaches inspired by density functional approximations have been demonstrated accurate in describing these systems in a wide range of parameters. Our goal is to improve them by including explicit dependences on the temperature and on the time-dependent drive. We expect to offer a reliable toolkit to study the quantum thermodynamics of complex many-body systems in regimes which pose a challenge to conventional analytical and numerical methods.