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

Vincenzo Alba; Bruno Bertini; Maurizio Fagotti; Lorenzo Piroli; Paola Ruggiero

doi:10.1088/1742-5468/ac257d

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

Vincenzo Alba, Bruno Bertini^*, Maurizio Fagotti, Lorenzo Piroli, Paola Ruggiero

^*Corresponding author for this work

Physics and Astronomy

Research output: Contribution to journal › Review article › peer-review

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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.

Original language	English
Article number	114004
Number of pages	69
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2021
Issue number	11
DOIs	https://doi.org/10.1088/1742-5468/ac257d
Publication status	Published - 16 Nov 2021

Bibliographical note

Publisher Copyright:
© 2021 IOP Publishing Ltd and SISSA Medialab srl.

Keywords

entanglement in extended quantum systems
quantum integrability (Bethe ansatz)
quantum quenches
quantum transport in one-dimension

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Statistics, Probability and Uncertainty

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

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.",

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T1 - Generalized-hydrodynamic approach to inhomogeneous quenches

T2 - Correlations, entanglement and quantum effects

AU - Alba, Vincenzo

AU - Bertini, Bruno

AU - Fagotti, Maurizio

AU - Piroli, Lorenzo

AU - Ruggiero, Paola

PY - 2021/11/16

Y1 - 2021/11/16

N2 - 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.

AB - 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.

KW - entanglement in extended quantum systems

KW - quantum integrability (Bethe ansatz)

KW - quantum quenches

KW - quantum transport in one-dimension

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DO - 10.1088/1742-5468/ac257d

M3 - Review article

AN - SCOPUS:85120738727

SN - 1742-5468

VL - 2021

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

IS - 11

M1 - 114004

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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