Description du projet
La dynamique des systèmes quantiques à plusieurs corps
Comprendre le comportement des systèmes quantiques à plusieurs corps et l’émergence de propriétés thermodynamiques universelles est un défi majeur en physique. Ces systèmes sont complexes, avec des interactions que les descriptions actuelles peinent à saisir. Nous devons résoudre ce problème si nous voulons progresser dans des domaines tels que l’informatique quantique. Soutenu par le programme Actions Marie Skłodowska-Curie, le projet GETQuantum se concentrera sur les circuits quantiques locaux, des modèles simples qui capturent l’essence de la dynamique quantique à plusieurs corps. Il cherche à établir l’hypothèse générale de thermalisation des états propres et à la relier à la théorie des probabilités libres. En découvrant des propriétés universelles et en faisant progresser les outils analytiques et numériques, le projet vise à approfondir notre compréhension des systèmes quantiques.
Objectif
Understanding the dynamics of typical many-body quantum systems and the emergence of their universal thermodynamic description is both challenging and of paramount importance in various areas of physics, including condensed-matter and quantum-information theory, as well as statistical and high-energy physics. Combining methods of those fields into novel interdisciplinary approaches, GETQuantum - General Eigenstate Thermalization in Quantum Circuits - aims for establishing a General Eigenstate Thermalization Hypothesis (General ETH) and its connection to the mathematical field of Free Probability through the lens of Multi-Point Correlation Functions. The project focuses on Local Quantum Circuits, which, while native to quantum computing applications, have emerged as minimal models for many-body quantum dynamics and have let to unique analytical insights in recent years. Within this setting, the first scientific objective of this project is to identify universal properties of Multi-Point Correlation Functions and their dynamics. This includes deriving exact results obtained via novel analytical tools as well as by numerical investigations based on new efficient numerical algorithms. The second objective of GETQuantum is to establish the recently introduced General ETH, formulated in the language of Free Probability, and its consequences in interacting many-body quantum systems, modeled by Local Quantum Circuits, beyond the current paradigm of standard ETH. It aims at pinpointing correlations between matrix elements of physical observables and at confirming predictions of Free Probability by relating Free Cumulants, a central concept of Free Probability, with the dynamics of Multi-Point Correlation Functions. Hence, General ETH provides an intricate link between dynamical and statistical properties of many-body quantum systems. GETQuantum will deepen our understanding of universal aspects of their dynamics and vastly impact the fields mentioned above.
Programme(s)
- HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA) Main Programme
Appel à propositions
(s’ouvre dans une nouvelle fenêtre) HORIZON-MSCA-2023-PF-01
Voir d’autres projets de cet appelRégime de financement
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European FellowshipsCoordinateur
80539 Munchen
Allemagne