Summary
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.
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| Web resources: | https://cordis.europa.eu/project/id/101146632 |
| Start date: | 01-10-2024 |
| End date: | 30-09-2026 |
| Total budget - Public funding: | - 173 847,00 Euro |
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Original description
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.Status
SIGNEDCall topic
HORIZON-MSCA-2023-PF-01-01Update Date
25-11-2024
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