Quantum many-body systems: from quantum chaos to quantum technologies

• Grant number: 23/11832-9
• Support Opportunities: Research Grants - Young Investigators Grants
• Duration: February 01, 2024 - January 31, 2029
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: Dario Rosa
• Grantee: Dario Rosa
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Associated scholarship(s): 24/00138-7 - Quantum many-body systems: from quantum chaos to quantum technologies., BP.JP

Abstract

The study of quantum many-body systems is entering a change of paradigm era these days. The recent experimental improvements on, for example, quantum simulators are making it possible to build medium-size quantum systems in almost perfect isolation from their surroundings. At the same time, these new possibilities are making more pressing the quest to answer some deep theoretical questions. Examples are: how do isolated quantum systems thermalize? Is it possible to build stable localized phases of interacting matter? Can we use quantum many-body systems to store and release energy? This research proposal aims to address and answer some of these pressing questions. Our guiding principle will be the study of how quantum chaos, or its absence, affects the physics of quantum many-body systems. In parallel, we will investigate how such knowledge can be used in the growing field of quantum thermodynamics and quantum technologies. We will develop numerical tools to effectively study the exponentially large Hilbert space of quantum many-body systems, making also use of the most recent developments in neural networks and quantum computing architectures. We will also develop a different point of view on the use of collisional models in quantum thermodynamics. It will be based on the idea of studying collisional models not just as toy models of open quantum systems but as actual realizable platforms in quantum thermodynamics. The results of this investigation will be applied to the growing fields of many-body localization, quantum many-body scars, and quantum batteries. (AU)