Gianluca Morettini

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The Eigenstate Thermalization Hypothesis (ETH) plays a fundamental role in the theoretical understanding of equilibration in many-body quantum systems. Despite its importance, simulating the thermalization process in such systems remains a big challenge. A promising recent approach to address this difficulty involves the use of energy-filtered states. In the first part of this seminar, I will outline the key properties of these states and illustrate how they provide valuable insights into quantum thermalization processes [1]. Nonetheless, recent investigations have identified rare eigenstates, known as quantum many-body scar states, which evade thermalization and violate the ETH. These nonthermal states have been experimentally observed in physically relevant platforms, such as Rydberg-atom arrays, and are associated with atypical dynamics that are not yet fully understood. In the second part of the seminar, I will present a recent example of an unconventional transport mechanism linked to these scarred systems [2].

[1] G. Morettini, L. Capizzi, M. Fagotti, L. Mazza, Energy-filtered quantum states and the emergence of non-local correlations, PRL 133, 240401 (2024)

[2] G. Morettini, L. Capizzi, M. Fagotti, L. Mazza, Unconventional Transport in a System with a Tower of Quantum Many-Body Scars, arXiv:2502.10387 (2025)

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LPTMS - Université Paris-Saclay
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Contact: Matteo Rizzi