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Bogoliubov-Born-Green-Kirkwood-Yvon Hierarchy and Generalized Hydrodynamics

Bertini, Bruno; Essler, Fabian H. L.; Granet, Etienne

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Authors

BRUNO BERTINI BRUNO.BERTINI@NOTTINGHAM.AC.UK
Proletic Lectureship in Theoretical Condensed Matter Physics

Fabian H. L. Essler

Etienne Granet



Abstract

We consider fermions defined on a continuous one-dimensional interval and subject to weak repulsive two-body interactions. We show that it is possible to perturbatively construct an extensive number of mutually compatible conserved charges for any interaction potential. However, the contributions to the densities of these charges at second order and higher are generally nonlocal and become spatially localized only if the potential fulfils certain compatibility conditions. We prove that the only solutions to the first of these conditions are the Cheon-Shigehara potential (fermionic dual to the Lieb-Liniger model) and the Calogero-Sutherland potentials. We use our construction to show how generalized hydrodynamics emerges from the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy, and argue that generalized hydrodynamics in the weak interaction regime is robust under nonintegrable perturbations.

Citation

Bertini, B., Essler, F. H., & Granet, E. (2022). Bogoliubov-Born-Green-Kirkwood-Yvon Hierarchy and Generalized Hydrodynamics. Physical Review Letters, 128(19), Article 190401. https://doi.org/10.1103/PhysRevLett.128.190401

Journal Article Type Article
Acceptance Date Apr 5, 2022
Online Publication Date May 12, 2022
Publication Date May 13, 2022
Deposit Date Jun 14, 2022
Publicly Available Date Mar 29, 2024
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society (APS)
Peer Reviewed Peer Reviewed
Volume 128
Issue 19
Article Number 190401
DOI https://doi.org/10.1103/PhysRevLett.128.190401
Keywords General Physics and Astronomy
Public URL https://nottingham-repository.worktribe.com/output/8496449
Publisher URL https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.128.190401

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