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Generalized-hydrodynamic approach to inhomogeneous quenches: Correlations, entanglement and quantum effects

Vincenzo AlbaUvA - Universiteit van Amsterdam (Spui 21, 1012 WX Amsterdam - Postbus 19268, 1000 GG Amsterdam - Netherlands)Bruno BertiniUniversity of Oxford (Wellington Square, Oxford OX1 2JD - United Kingdom)Maurizio FagottiLPTMS - Laboratoire de Physique Théorique et Modèles Statistiques (Bâtiment 100 Université Paris-Sud Centre Scientifique d'Orsay 15 rue Georges Clémenceau 91405 Orsay cedex - France)Lorenzo PiroliMPQ - Max-Planck-Institut für Quantenoptik (Hans-Kopfermann-Str. 1 Garching - Germany)Paola RuggieroUNIGE - Université de Genève = University of Geneva (24 rue du Général-Dufour CH - 1211 Genève 4 Suisse - Switzerland)
2021en
ABI

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We give a pedagogical introduction to the generalized hydrodynamic approach to inhomogeneous quenches in integrable many-body quantum systems. We review recent applications of the theory, focusing in particular on two classes of problems: bipartitioning protocols and trap quenches, which represent two prototypical examples of broken translational symmetry in either the system initial state or post-quench Hamiltonian. We report on exact results that have been obtained for generic time-dependent correlation functions and entanglement evolution, and discuss in detail the range of applicability of the theory. Finally, we present some open questions and suggest perspectives on possible future directions.

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