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.

Vincenzo Alba, Bruno Bertini, Maurizio Fagotti, Lorenzo Piroli, Paola Ruggiero (2021). Generalized-hydrodynamic approach to inhomogeneous quenches: Correlations, entanglement and quantum effects. JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT, 2021(11), 1-69 [10.1088/1742-5468/ac257d].

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

Lorenzo Piroli;
2021

Abstract

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.
2021
Vincenzo Alba, Bruno Bertini, Maurizio Fagotti, Lorenzo Piroli, Paola Ruggiero (2021). Generalized-hydrodynamic approach to inhomogeneous quenches: Correlations, entanglement and quantum effects. JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT, 2021(11), 1-69 [10.1088/1742-5468/ac257d].
Vincenzo Alba; Bruno Bertini; Maurizio Fagotti; Lorenzo Piroli; Paola Ruggiero
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/941556
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