У оквиру семинара Центра за изучавање комплексних система Института за физику у Београду, у четвртак, 25. маја 2023. године у 14 часова путем Zoom платформе, др Берислав Буча (Нилс Бор институт, Универзитет у Копенхагену, Данска; Департман за физику, Универзитет у Оксфорду, Уједињено Краљевство), одржаће предавање:
Eigenoperator thermalization theory
САЖЕТАК:
In this talk we will provide a rigorous framework of dynamics in locally interacting systems in any dimension. It is based on pseudolocal dynamical symmetries generalising pseudolocal charges. This generalization proves sufficient to construct a theory of all sufficiently local quantum many-body dynamics in closed, open and time-dependent systems, in terms of time-dependent generalized Gibbs ensembles. These ensembles unify seemingly disparate manifestations of quantum non-ergodic dynamics including quantum many-body scars, continuous, discrete and dissipative time crystals, Hilbert space fragmentation, lattice gauge theories, and disorder-free localization. In the process novel pseudo-local classes of operators are introduced: „restricted local“, which are local only for some states, and „crypto-local“, whose locality is not manifest in terms of any finite number of local densities. This proven theory is intuitively the rigorous algebraic counterpart of the eigenstate thermalization hypothesis and has implications for thermodynamics: quantum many-body systems, rather than merely reaching a Gibbs ensemble in the long-time limit, are always in a time-dependent generalized Gibbs ensemble for any natural initial state.
[1] B. Buča, arXiv:2301.07091 (2023).
[2] B. Doyon, Commun. Math. Phys. 351, 155 (2017).
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Meeting ID: 863 2577 7411
Passcode: 479654