Generalized-hydrodynamic approach to inhomogeneous quenches: correlations, entanglement and quantum effects
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.
Journal of Statistical Mechanics: Theory and Experiment
- Pub Date:
- November 2021
- entanglement in extended quantum systems;
- quantum integrability (Bethe ansatz);
- quantum quenches;
- quantum transport in one-dimension;
- Condensed Matter - Statistical Mechanics;
- Condensed Matter - Quantum Gases;
- Condensed Matter - Strongly Correlated Electrons;
- High Energy Physics - Theory;
- Quantum Physics
- 46 pages, 13 figures. To appear in JSTAT special issue "Emergent Hydrodynamics in Integrable Many-body Systems"