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English

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

Published inJournal of statistical mechanics, vol. 2021, no. 11, 114004
Publication date2021-11-16
First online date2021-11-16
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.

Keywords
  • Correlation function: time dependence
  • Effect: quantum
  • Entanglement
  • Quenching
  • Many-body problem
  • Initial state
  • Integrability
  • Hamiltonian
  • Correlation
Note46 pages, 13 figures. To appear in JSTAT special issue "Emergent Hydrodynamics in Integrable Many-body Systems"; v2 minor revision. As appears in JSTAT special issue "Emergent Hydrodynamics in Integrable Many-body Systems"
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Citation (ISO format)
ALBA, Vincenzo et al. Generalized-hydrodynamic approach to inhomogeneous quenches: correlations, entanglement and quantum effects. In: Journal of statistical mechanics, 2021, vol. 2021, n° 11, p. 114004. doi: 10.1088/1742-5468/ac257d
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ISSN of the journal1742-5468
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